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1.

図書
図書
1. An introduction to two-dimensional quantum field theory with (0, 2) supersymmetry
Ilarion V. Melnikov
出版情報: [Cham] : Springer, c2019  xv, 482 p. ; 24 cm
シリーズ名: Lecture notes in physics ; v. 951
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2.

図書
図書
2. An invitation to quantum field theory
Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
出版情報: Berlin : Springer, c2012  xi, 294 p. ; 24 cm
シリーズ名: Lecture notes in physics ; v. 839
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3.

図書
図書
3. Principles and methods of quantum information technologies
Yoshihisa Yamamoto, Kouichi Semba, editors
出版情報: Tokyo : Springer, c2016  xi, 624 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 911
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4.

図書
図書
4. Interest rate derivatives : valuation, calibration and sensitivity analysis (: [pbk.])
Ingo Beyna
出版情報: Berlin : Springer, c2013  xviii, 209 p. ; 24 cm
シリーズ名: Lecture notes in economics and mathematical systems ; 666
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5.

図書
図書
5. Automotive model predictive control : models, methods and applications
Luigi del Re ... [et al.] (eds.)
出版情報: Berlin : Springer, c2010  xiii, 284 p. ; 24 cm
シリーズ名: Lecture notes in control and information sciences ; 402
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目次情報: 続きを見る
Chances and Challenges in Automotive Predictive Control / Luigi del Re ; Peter Ortner ; Daniel Alberer1：
Introduction: The Rationale / 1.1：
Alternatives for Modeling / 1.2：
First Principles Models / 1.2.1：
Data-only Models / 1.2.2：
Advanced Use of Data / 1.2.3：
Alternatives for Optimization / 1.3：
Basic Algorithmic Approaches / 1.3.1：
Coping with Nonlinearity / 1.3.2：
Chances: State and Outlook / 1.4：
Conclusions / 1.5：
References
Models / Part I：
On Board NOx Prediction in Diesel Engines: A Physical Approach / Jean Arrégle ; J. Javier López ; Carlos Guardiola ; B Christelle Monin2：
Introduction / 2.1：
Main Physical/Chemical Mechanisms of NOx Formation/Destruction / 2.2：
NOx Re-burning / 2.2.1：
NOx Formation in LTC Conditions / 2.2.2：
Mechanisms and Model Sensitivity / 2.3：
Structure of Physically-based NOx Models / 2.3.1：
Flame Temperature Determination / 2.3.2：
Input Parameters Accuracy / 2.4：
Intake Air Mass Flow Rate Accuracy / 2.4.1：
Air + EGR Mixture Temperature and Oxygen Fraction / 2.4.2：
Mean Value Engine Models Applied to Control System Design and Validation / Pierre Olivier Calendini ; Stefan Breuer2.5：
State of the Art Mean Value Engine Model / 3.1：
System Model Structure as a Response to the Requirements / 3.2：
Bond Graph Applied to Mean Value Engine Models / 3.2.1：
Naturally Aspirated and Turbocharged Engine in Bond Graph Structure / 3.2.2：
Basic Blocs for Building Mean Value Models / 3.3：
The Volume Bloc / 3.3.1：
The Gas Exchange Bloc / 3.3.2：
Heat Exchange Models / 3.3.3：
Combustion Model Possibilities / 3.3.4：
Environment Model / 3.3.5：
Application Example: Choice of an Air Loop Control Strategy / 3.4：
Implementation of the Robustness Simulation / 3.4.1：
Results of the Robustness Simulations / 3.4.2：
Physical Modeling of Turbocharged Engines and Parameter Identification / Lars Eriksson ; Johan Wahlström ; Markus Klein3.5：
MVEM Modeling / 4.1：
Library Development / 4.2.1：
Building Blocks: Component Models / 4.2.2：
The Engine Cylinders: Flow, Temperature, and Torque / 4.2.3：
Implementation Examples / 4.2.4：
Modeling of a Diesel Engine with EGR/VGT / 4.3：
Experimental Data / 4.3.1：
Minimum Number of States / 4.3.2：
Model Extensions / 4.3.3：
Gray-Box Models and Identification / 4.4：
Dynamic Engine Emission Models / Markus Hirsch ; Klaus Oppenauer4.5：
Data-based Model Identification / 5.1：
Mean Value Emission Model / 5.3：
Input Selection / 5.3.1：
Model Structure / 5.3.2：
Parameter Identification / 5.3.3：
Regressor Selection / 5.3.4：
Realization and Results / 5.3.5：
Crank Angle Based Emission Model / 5.4：
Workflow / 5.4.1：
1-zone Process Calculation / 5.4.2：
2-zone Model / 5.4.3：
Emission Models / 5.4.4：
Model Development and Verification / 5.4.5：
Data for Identification: Input Design / 5.5：
Limitations / 5.6：
Summary / 5.7：
Modeling and Model-based Control of Homogeneous Charge Compression Ignition (HCCI) Engine Dynamics / Rolf Johansson ; Per TunestÃ¥l ; Anders Widd6：
HCCI Modeling / 6.1：
Fuel Modeling / 6.2.1：
Auto-ignition Modeling / 6.2.2：
Thermal Modeling and Auto-ignition / 6.2.3：
Experiments / 6.3：
Model Predictive Control / 6.3.1：
Methods / 6.4：
An Overview of Nonlinear Model Predictive Control / Lalo Magni ; Riccardo Scattolini7：
Problem Formulation and State-feedback NMPC Control Law / 7.1：
Feasibility and Stability in Nominal Conditions / 7.2.1：
The Robustness Problem / 7.2.2：
Output Feedback and Tracking / 7.3：
Output Feedback / 7.3.1：
Tracking / 7.3.2：
Implementation Problems and Alternative Approaches / 7.4：
Optimal Control Using Pontryagin's Maximum Principle and Dynamic Programming / Bart Saerens ; Moritz Diehl ; Eric Van den Bulck8：
Optimal Control / 8.1：
Pontryagin's Maximum Principle / 8.2.1：
Dynamic Programming / 8.2.2：
Vehicle and Powertrain Model / 8.3：
Vehicle and Driveline Model / 8.3.1：
Engine Model / 8.3.2：
Minumum-fuel Acceleration with the Maximum Principle / 8.4：
Minumum-fuel Acceleration with Dynamic Programming / 8.5：
Discussion of the Results / 8.6：
Comparison between the Maximum Principle and Dynamic Programming / 8.6.1：
Comparison with Other Research / 8.6.2：
On the Use of Parameterized NMPC in Real-time Automotive Control / Mazen Alamir ; André Murilo ; Rachid Amari ; Paolina Tona ; Richard Fürhapter8.7：
The Parameterized NMPC: Definitions and Notation / 9.1：
Example 1: Diesel Engine Air Path Control / 9.3：
Example 2: Automated Manual Transmission Control / 9.4：
Conclusion / 9.5：
Applications / Part III：
An Application of MPC Starting Automotive Spark Ignition Engine in SICE Benchmark Problem / Akira Ohata ; Masaki Yamakita10：
Control Design Strategy in MBD / 10.1：
Benchmark Problem / 10.3：
Application of MPC / 10.4：
Model Predictive Control of Partially Premixed Combustion / Magnus Lewander10.5：
Experimental Setup / 11.1：
PPC Definition / 11.3：
Control / 11.4：
Control Design / 11.4.1：
Results / 11.5：
Response to EGR Disturbance / 11.5.1：
Response to Load Changes / 11.5.2：
Response to Speed Changes / 11.5.3：
Discussion / 11.6：
Model Predictive Powertrain Control: An Application to Idle Speed Regulation / Stefano Di Cairano ; Diana Yanakiev ; Alberto Bemporad ; Ilya Kolmanovsky ; Davor Hrovat11.7：
Engine Model for Idle Speed Control / 12.1：
Control-oriented Model and Controller Design / 12.3：
Controller Synthesis and Refinement / 12.4：
Feedback Law Synthesis and Functional Assessment / 12.4.1：
Prediction Model Refinement / 12.4.2：
Experimental Validation / 12.5：
On Low Complexity Predictive Approaches to Control of Autonomous Vehicles / Paolo Falcone ; Francesco Borrelli ; Eric H. Tseng12.6：
Introduction to Autonomous Guidance Systems / 13.1：
Vehicle Modeling / 13.2：
Low Complexity Predictive Path Following / 13.3：
Two Levels Autonomous Path Following / 13.3.1：
Single Level Autonomous Path Following / 13.3.2：
Toward a Systematic Design for Turbocharged Engine Control / Greg Stewart ; Jaroslav Pekar ; David Germann ; Daniel Pachner ; Dejan Kihas13.4：
Engine Control Requirements / 14.1：
Steady-state Engine Calibration / 14.2.1：
Control Functional Development / 14.2.2：
Functional Testing / 14.2.3：
Software Development / 14.2.4：
Integration / 14.2.5：
Calibration / 14.2.6：
Certification / 14.2.7：
Release and Post-release Support / 14.2.8：
Iteration Loops / 14.2.9：
Modeling and Control for Turbocharged Engines / 14.3：
Modeling / 14.3.1：
Model Predictive Control and Computational Complexity / 14.4：
Explicit Predictive Control / 14.4.1：
On the Complexity of Explicit MPC Control Laws / 14.4.2：
Summary and Conclusions / 14.5：
An Integrated LTV-MPC Lateral Vehicle Dynamics Control: Simulation Results / Giovanni Palmieri ; Osvaldo Barbarisi ; Stefano Scala ; Luigi Glielmo15：
Full Vehicle Model / 15.1：
Lateral Vehicle Dynamic Control Strategy / 15.3：
Reference Signals / 15.3.1：
Estimation of Tire Variables / 15.3.2：
Supervisor / 15.3.3：
An Alternative 2PI Regulator / 15.3.4：
A Reduced Model for Slip Control / 15.4：
A Slip Control Strategy / 15.5：
Feedback Action / 15.5.1：
Simulation Results / 15.6：
MIMO Model Predictive Control for Integral Gas Engines / Jakob Ängeby ; Matthias Huschenbett15.7：
System Description / 16.1：
Problem Statement / 16.3：
Implementation / 16.4：
Objective Function / 16.5.1：
Model Derivation / 16.5.2：
Real-time MPC / 16.6：
A Model Predictive Control Approach to Design a Parameterized Adaptive Cruise Control / Gerrit J.L. Naus ; Jeroen Ploeg ; M.J.G. Van de Molengraft ; W.P.M.H. Heemels ; Maarten Steinbuch16.8：
Problem Formulation / 17.1：
Quantification Measures / 17.2.1：
Parameterization / 17.2.2：
Model Predictive Control Problem Setup / 17.3：
Control Objectives and Constraints / 17.3.1：
Control Problem / Cost Criterion Formulation / 17.3.3：
Controller Design / 17.4：
Implementation Issues / 17.4.1：
Conclusions and Future Work / 17.4.3：
Author Index
Chances and Challenges in Automotive Predictive Control / Luigi del Re ; Peter Ortner ; Daniel Alberer1：
Introduction: The Rationale / 1.1：
Alternatives for Modeling / 1.2：
6.

図書
図書
6. Modeling and identification of linear parameter-varying systems
Roland Tóth
出版情報: Berlin : Springer, c2010  xxiv, 319 p. ; 24 cm
シリーズ名: Lecture notes in control and information sciences ; 403
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目次情報: 続きを見る
Introduction / 1：
New Challenges for System Identification / 1.1：
The Birth of LPV Systems / 1.2：
The Present State of LPV Identification / 1.3：
The Identification Cycle / 1.3.1：
General Picture of LPV Identification / 1.3.2：
LPV-Io Representation Based Methods / 1.3.3：
LPV-SS Representation Based Methods / 1.3.4：
Similarity to Other System Classes / 1.3.5：
Challenges and Open Problems / 1.4：
Perspectives of Orthonormal Basis Function Models / 1.5：
The Gain-Scheduling Perspective / 1.5.1：
The Global Identification Perspective / 1.5.2：
Approximation via OBF Structures / 1.5.3：
The Goal of the Book / 1.6：
Overview of Contents / 1.7：
LTI System Identification and the Role of OBFs / 2：
The Concept of Orthonormal Basis Functions / 2.1：
Signal Spaces and Inner Functions / 2.2：
General Class of Orthonormal Basis Functions / 2.3：
Takenaka-Malmquist Basis / 2.3.1：
Hambo Basis / 2.3.2：
Kautz Basis / 2.3.3：
Laguerre Basis / 2.3.4：
Pulse Basis / 2.3.5：
Orthonormal Basis Functions of MIMO Systems / 2.3.6：
Basis Functions in Continuous-Time / 2.3.7：
Modeling and Identification of LTI Systems / 2.4：
The Identification Setting / 2.4.1：
Model Structures / 2.4.2：
Properties / 2.4.3：
Linear Regression / 2.4.4：
Identification with OBFs / 2.4.5：
Pole Uncertainty of Model Estimates / 2.4.6：
Validation in the Prediction-Error Setting / 2.4.7：
The Kolmogorov n-Width Theory / 2.5：
Conclusions / 2.6：
LPV Systems and Representations / 3：
General Class of LPV Systems / 3.1：
Parameter Varying Dynamical Systems / 3.1.1：
Representations of Continuous-Time LPV Systems / 3.1.2：
Representations of Discrete-Time LPV Systems / 3.1.3：
Equivalence Classes and Relations / 3.2：
Equivalent Kernel Representations / 3.2.1：
Equivalent IO Representations / 3.2.2：
Equivalent State-Space Representations / 3.2.3：
Properties of LPV Systems and Representations / 3.3：
State-Observability and Reachability / 3.3.1：
Stability of LPV Systems / 3.3.2：
Gramians of LPV State-Space Representations / 3.3.3：
LPV Equivalence Transformations / 3.4：
State-Space Canonical Forms / 4.1：
The Observability Canonical Form / 4.1.1：
Reachability Canonical Form / 4.1.2：
Companion Canonical Forms / 4.1.3：
Transpose of SS Representations / 4.1.4：
LTI vs. LPV State Transformation / 4.1.5：
From State-Space to the Input-Output Domain / 4.2：
From the Input-Output to the State-Space Domain / 4.3：
The Idea of Recursive State-Construction / 4.3.1：
Cut-and-Shift in Continuous-Time / 4.3.2：
Cut-and-Shift in Discrete-Time / 4.3.3：
State-Maps and Polynomial Modules / 4.3.4：
State-Maps Based on Kernel Representations / 4.3.5：
State-Maps Based on Image-Representations / 4.3.6：
State-Construction in the MIMO Case / 4.3.7：
LPV Series-Expansion Representations / 4.4：
Relevance of Series-Expansion Representations / 5.1：
Impulse Response Representation of LPV Systems / 5.2：
Filter Form of LPV-IO Representations / 5.2.1：
Series Expansion in the Pulse Basis / 5.2.2：
The Impulse Response Representation / 5.2.3：
LPV Series Expansion by OBFs / 5.3：
The OBF Expansion Representation / 5.4：
Series Expansions and Gain-Scheduling / 5.5：
The Role of Gain-Scheduling / 5.5.1：
Optimality of the Basis in the Frozen Sense / 5.5.2：
Optimality of the Basis in the Global Sense / 5.5.3：
Discretization of LPV Systems / 5.6：
The Importance of Discretization / 6.1：
Discretization of LPV System Representations / 6.2：
Discretization of State-Space Representations / 6.3：
Complete Method / 6.3.1：
Approximative State-Space Discretization Methods / 6.3.2：
Discretization Errors and Performance Criteria / 6.4：
Local Discretization Errors / 6.4.1：
Global Convergence and Preservation of Stability / 6.4.2：
Guaranteeing a Desired Level of Discretization Error / 6.4.3：
Switching Effects / 6.4.4：
Properties of the Discretization Approaches / 6.5：
Discretization and Dynamic Dependence / 6.6：
Numerical Example / 6.7：
LPV Modeling of Physical Systems / 6.8：
Towards Model Structure Selection / 7.1：
General Questions of LPV Modeling / 7.2：
Modeling of Nonlinear Systems in the LPV Framework / 7.3：
First Principle Models / 7.3.1：
Linearization Based Approximation Methods / 7.3.2：
Multiple Model Design Procedures / 7.3.3：
Substitution Based Transformation Methods / 7.3.4：
Automated Model Transformation / 7.3.5：
Summary of Existing Techniques / 7.3.6：
Translation of First Principle Models to LPV Systems / 7.4：
Problem Statement / 7.4.1：
The Transformation Algorithm / 7.4.2：
Handling Non-Factorizable Terms / 7.4.3：
Properties of the Transformation Procedure / 7.4.4：
Optimal Selection of OBFs / 7.5：
Perspectives of OBFs Selection / 8.1：
Kolmogorov n-Width Optimality in the Frozen Sense / 8.2：
The Fuzzy-Kolmogorov c-Max Clustering Approach / 8.3：
The Pole Clustering Algorithm / 8.3.1：
Properties of the FKcM / 8.3.2：
Simulation Example / 8.3.3：
Robust Extension of the FKcM Approach / 8.4：
Questions of Robustness / 8.4.1：
Basic Concepts of Hyperbolic Geometry / 8.4.2：
Pole Uncertainty Regions as Hyperbolic Objects / 8.4.3：
The Robust Pole Clustering Algorithm / 8.4.4：
Properties of the Robust FKcM / 8.4.5：
LPV Identification via OBFs / 8.4.6：
Aim and Motivation of an Alternative Approach / 9.1：
OBFs Based LPV Model Structures / 9.2：
The LPV Prediction-Error Framework / 9.2.1：
The Wiener and the Hammerstein OBF Models / 9.2.2：
Properties of Wiener and Hammerstein OBF Models / 9.2.3：
OBF Models vs. Other Model Structures / 9.2.4：
Identification of W-LPV and H-LPV OBF Models / 9.2.5：
Identification with Static Dependence / 9.3：
LPV Identification with Fixed OBFs / 9.3.1：
Local Approach / 9.3.3：
Global Approach / 9.3.4：
Examples / 9.3.5：
Approximation of Dynamic Dependence / 9.4：
Feedback-Based OBF Model Structures / 9.4.1：
Properties of Wiener and Hammerstein Feedback Models / 9.4.2：
Identification by Dynamic Dependence Approximation / 9.4.3：
Example / 9.4.4：
Extension towards MIMO Systems / 9.5：
Scalar Basis Functions / 9.5.1：
Multivariable Basis Functions / 9.5.2：
Multivariable Basis Functions in the Feedback Case / 9.5.3：
General Remarks on the MIMO Extension / 9.5.4：
Proofs / 9.6：
Proofs of Chapter 3 / A.1：
The Injective Cogenerator Property / A.1.1：
Existence of Full Row Rank KR Representation / A.1.2：
Elimination Property / A.1.3：
State-Kernel Form / A.1.4：
Left/Right-Side Unimodular Transformation / A.1.5：
Proofs of Chapter 5 / A.2：
LPV Series Expansion, Pulse Basis / A.2.1：
LPV Series Expansion, OBFs / A.2.2：
Proofs of Chapter 8 / A.3：
Optimal Partition / A.3.1：
h-Center Relation / A.3.2：
h-Segment Worst-Case Distance / A.3.4：
h-Disc Worst-Case Distance / A.3.6：
Convexity / A.3.7：
Optimal Robust Partition / A.3.8：
Proofs of Chapter 9 / A.4：
Representation of Dynamic Dependence / A.4.1：
References
Index
Introduction / 1：
New Challenges for System Identification / 1.1：
The Birth of LPV Systems / 1.2：
7.

図書
図書
7. Introduction to the functional renormalization group
P. Kopietz, L. Bartosch, F. Schütz
出版情報: Berlin : Springer, c2010  xiv, 375 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 798
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8.

図書
図書
8. Perspectives in mathematical system theory, control, and signal processing : a festschrift in honor of Yutaka Yamamoto on the occasion of his 60th birthday
Jan C. Willems ... [et al.], eds
出版情報: Berlin : Springer, c2010  xix, 388 p. ; 24 cm
シリーズ名: Lecture notes in control and information sciences ; 398
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Circuit Theory / Part I：
Old and New Directions of Research in System Theory / Rudolf Kalman
Regular Positive-Real Functions and the Classification of Transformerless Series-Parallel Networks / Jason Zheng Jiang ; Malcolm C. Smith
Ports and Terminals / Jan C. Willems
Control / Part II：
On the Sample Complexity of Probabilistic Analysis and Design Methods / Teodoro Alamo ; Roberto Tempo ; Amalia Luque
A Constant Factor Approximation Algorithm for Event-Based Sampling / Randy Cogill ; Sanjay Lall ; João P. Hespanha
A Unified Approach to Decentralized Cooperative Control for Large-Scale Networked Dynamical Systems / Shinji Hara
Control and Stabilization of Linear Equation Solvers / Uwe Helmke ; Jens Jordan
Nonlinear Output Regulation: A Unified Design Philosophy / Alberto Isidori
An Estimated General Cross Validation Function for Periodic Control Theoretic Smoothing Splines / Maja Karasalo ; Xiaoming Hu ; Clyde F. Martin
Stable H∞ Controller Design for Systems with Time Delays / Hitay Özbay
Dynamic Quantization for Control / Toshiharu Sugie ; Shun-ichi Azuma ; Yuki Minami
Graphs and Networks / Part III：
Convergence of Periodic Gossiping Algorithms / Brian D.O. Anderson ; Changbin Yu ; A. Stephen Morse
Distributed PageRank Computation with Link Failures / Hideaki Ishii
Predicting Synchrony in a Simple Neuronal Network / Sachin S. Talathi ; Pramod P. Khargonekar
Mathematical System Theory / Part IV：
On the Stability and Instability of Padé Approximants / Christopher I. Byrnes ; Anders Lindquist
On the Use of Functional Models in Model Reduction / Paul A. Fuhrmann
Quadratic Performance Verification for Boundary Value Systems / Hisaya Fujioka
Lyapunov Stability Analysis of Higher-Order 2-D Systems / Chiaki Kojima ; Paolo Rapisarda ; Kiyotsugu Takaba
From Lifting to System Transformation / Yoshito Ohta
Contractive Systems with Inputs / Eduardo D. Sontag
Dissipativity and Stability Analysis Using Rational Quadratic Differential Forms
On Behavioral Equivalence of Rational Representations / Harry L. Trentelman
Modeling / Part V：
Modeling and Stability Analysis of Controlled Passive Walking / Kentaro Hirata
An Optimization Approach to Weak Approximation of Lévy-Driven Stochastic Differential Equations / Kenji Kashima ; Reiichiro Kawai
Compound Control: Capturing Multivariate Nature of Biological Control / Hidenori Kimura ; Shingo Shimoda ; Reiko J. Tanaka
Law of Large Numbers, Heavy-Tailed Distributions, and the Recent Financial Crisis / Mathukumalli Vidyasagar
Signal Processing / Part VI：
Markov Models for Coherent Signals: Extrapolation in the Frequency Domain / Roger W. Brockett
Digital Signal Processing and the YY Filter / Bruce Francis
Sparse Blind Source Separation via ℓ1-Norm Optimization / Tryphon T. Georgiou ; Allen Tannenbaum
YY Filter—A Paradigm of Digital Signal Processing / Masaaki Nagahara
System Identification / Part VII：
How to Sample Linear Mechanical Systems / Mattia Bruschetta ; Giorgio Picci ; Alessandro Saccon
A Note on LQ Decomposition in Stochastic Subspace Identification / Tohru Katayama
Modeling Systems Based on Noisy Frequency and Time Domain Measurements / Sanda Lefteriu ; Antonio C. lonita ; Athanasios C. Antoulas
Blind Identification of Polynomial Matrix Fraction with Applications / Kenji Sugimoto
Author Index
Circuit Theory / Part I：
Old and New Directions of Research in System Theory / Rudolf Kalman
Regular Positive-Real Functions and the Classification of Transformerless Series-Parallel Networks / Jason Zheng Jiang ; Malcolm C. Smith
9.

図書
図書
9. Quantum quenching, annealing and computation
A.K. Chandra, A. Das, B.K. Chakrabarti (eds.)
出版情報: Berlin : Springer, c2010  xi, 307 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 802
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10.

図書
図書
10. Intermediate microeconomics : a modern approach. 8th ed
Hal R. Varian
出版情報: New York : W.W. Norton, c2010  xxiv, 739, 40 p. ; 25 cm
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11.

図書
図書
11. Materials : engineering, science, processing and design. 2nd ed
Michael Ashby, Hugh Shercliff and David Cebon
出版情報: Oxford : Butterworth-Heinemann, c2010  xxiv, 525, 19, 64, 18, 14 p. ; 26 cm
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12.

図書
図書
12. The physics of the quark-gluon plasma : introductory lectures
S. Sarkar, H. Satz, B. Sinha (eds.)
出版情報: Berlin : Springer, c2010  ix, 369 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 785
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The Thermodynamics of Quarks and Gluons / Helmut Satz
Prelude / 1：
States of Strongly Interacting Matter / 2：
From Hadrons to Quarks and Gluons / 3：
Finite-Temperature Lattice QCD / 4：
The Nature of the Transition / 5：
Probing the Quark—Gluon Plasma / 6：
Summary / 7：
References
Global Properties of Nucleus—Nucleus Collisions / Michael Kliemant ; Raghunath Sahoo ; Tim Schuster ; Reinhard Stock
Introduction
Relativistic Kinematics
Bulk Hadron Production in A+A Collisions
Hadronization and Hadronic Freeze-Out in A+A Collisions
Two Introductory Lectures on High-Energy QCD and Heavy-Ion Collisions / Debasish Banerjee ; Jajati K. Nayak ; Raju Venugopalan
Deep Inelastic Scattering
Heavy-Ion Collisions
From CGC to Glasma
Hydrodynamics and Flow / Tetsufumi Hirano ; Naomi van der Kolk ; Ante Bilandzic
Introduction and Disclaimer
Introduction to Hydrodynamics in Relativistic Heavy-Ion Collisions
Formalism of the Relativistic Ideal/Viscous Hydrodynamics
Applications
An Introduction to the Spectral Analysis of the QGP / P. P. Bhaduri ; P. Hegde ; H. Satz ; P. Tribedy
What Are Quarkonia?
Studying Charmonium Dissociation
Dynamics of Quarkonium Dissociation
Quarkonium Production in Nuclear Collisions
Conclusion
Quarkonium Production and Absorption in Proton—Nucleus Collisions / Carlos Lourenço ; Pietro Faccioli ; Hermine K. Wöhri
J/? Feed-Down Fractions
J/? Polarization Revisited
Energy Dependence of the J/? Break-Up Cross Section
Electromagnetic Probes / Rupa Chatterjee ; Lusaka Bhattacharya ; Dinesh K. Srivastava
Sources of Photons
Photons from Pb+Pb@SPS to Au+Au@RHIC
Dileptons
Elliptic Flow
Photon-Tagged Jets
Intensity Interferometry of Thermal Photons
Epilogue / 8：
Measuring Dimuons Produced in Proton—Nucleus Collisions with the NA60 Experiment at the SPS
Detector Design and Operation
Data Reconstruction
Simulation, of the Expected Dimuon Sources
Acceptances, Phase Space Window and Efficiencies
Target Identification
Summary and Final Remarks
High-pT Hadron Suppression and Jet Quenching / David d'Enterria ; Barbara Betz
Jet Quenching and Parton Energy Loss in QCD Matter
Parton Energy Loss Phenomenology
High-pT Leading Hadron Suppression: Data vs. Theory
High-pT Di-hadron Ø, η Correlations: Data vs. Theory
Jet Observables in AA Collisions
In Search of the QCD—Gravity Correspondence / Theodor Braşoveanu ; Dmitri Kharzeev ; Mauricio Martinez
QCD and Its Properties
Black Holes
Using Black Holes to Understand Gauge Theories
Applications: Shear and Bulk Viscosities
Limitations of the Present Approaches and Outlook
The Thermodynamics of Quarks and Gluons / Helmut Satz
Prelude / 1：
States of Strongly Interacting Matter / 2：
13.

図書
図書
13. Topics in noncommutative algebra : the theorem of Campbell, Baker, Hausdorff and Dynkin
Andrea Bonfiglioli, Roberta Fulci
出版情報: Berlin : Springer, c2012  xxii, 539 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 2034
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14.

図書
図書
14. The BCS-BEC crossover and the unitary fermi gas (: pbk)
Wilhelm Zwerger, editer
出版情報: Berlin : Springer, c2012  xvi, 532 p. ; 24 cm
シリーズ名: Lecture notes in physics ; v. 836
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15.

図書
図書
15. From gravity to thermal gauge theories : the AdS/CFT correspondence
Eleftherios Papantonopoulos, editor
出版情報: Berlin : Springer, c2011  xviii, 425 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 828
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目次情報: 続きを見る
Introduction to the AdS/CFT Correspondence / Part I：
Introduction to Anti de Sitter Black Holes / 1：
Spacetimes of Constant Curvature / 1.1：
Spaces of Maximal Symmetry and Constant Curvature / 1.1.1：
Flat Spacetime / 1.1.2：
Anti de Sitter Spacetime / 1.1.3：
Static Black Holes / 1.2：
Basic Properties / 1.2.1：
Thermodynamics / 1.2.2：
Beyond Static Black Holes / 1.3：
References
Perturbations of Anti de Sitter Black Holes / 2：
Introduction / 2.1：
Perturbations / 2.2：
Scalar Perturbations / 2.2.1：
Gravitational Perturbations / 2.2.2：
Electromagnetic Perturbations / 2.2.3：
Hydrodynamics / 2.3：
Vector Perturbations / 2.3.1：
Tensor Perturbations / 2.3.2：
Hydrodynamics on the AdS boundary / 2.3.4：
Conformal Soliton Flow / 2.3.5：
Phase Transitions / 2.4：
K = 0 / 2.4.1：
K = -1 / 2.4.2：
Conclusion / 2.5：
CFTs / 3：
Conformal Algebra / 3.2.1：
Local Field Operators / 3.2.2：
Conformal Correlators / 3.2.3：
AdS/CFT Correspondence / 3.3：
AdS Geometry / 3.3.1：
Partition Function / 3.3.2：
Semi-classical Gravity Limit / 3.3.3：
Large N / 3.4：
SYM from D-Branes / 3.5：
D3-Brane Near Horizon Geometry / 3.5.2：
Strong/Weak Duality / 3.5.3：
Extensions / 3.6：
Holography and the AdS/CFT Correspondence / Part II：
Improved Holographic QCD / 4：
The 5D Model / 4.1：
Scheme Dependence / 4.3：
The Potential and the Parameters of the Model / 4.4：
The Normalization of the Coupling Constant ? / 4.4.1：
The AdS Scale l / 4.4.2：
The UV Expansion Coefficients of V(?) / 4.4.3：
The String Length / 4.4.4：
Integration Constants / 4.4.6：
Latent Heat and Equation of State / 4.5：
Glueball Spectrum / 4.5.2：
Critical Temperature / 4.5.3：
String Tension / 4.5.4：
CP-odd Sector / 4.5.5：
Coupling Normalization / 4.5.6：
Bulk Viscosity / 4.6：
The Holographic Computation / 4.6.1：
The Adiabatic Approximation / 4.6.2：
Buchel's Bound / 4.6.4：
The Drag Force on Strings and Heavy Quarks / 4.7：
The Drag Force / 4.7.1：
The Relativistic Asymptotics / 4.7.2：
The Non-relativistic Asymptotics / 4.7.3：
The Diffusion Time / 4.7.4：
Including the Correction to the Quark Mass / 4.7.5：
Temperature Matching and Diffusion Time Estimates / 4.7.6：
Jet Quenching Parameter / 4.8：
Discussion and Outlook / 4.9：
Drag Force / 4.9.1：
Diffusion Time / 4.9.3：
Jet Quenching / 4.9.4：
The Dynamics of Quark-Gluon Plasma and AdS/CFT / 5：
The AdS/CFT Correspondence / 5.1：
Effective Degrees of Freedom at Strong Coupling / 5.2.1：
Why study N = 4 Plasma? / 5.3：
The AdS/CFT for Studying Real-Time Dynamics of Plasma / 5.4：
Exact Analytical Examples / 5.4.1：
A Case Study: Static Uniform Plasma / 5.5.1：
A Case Study: A Planar Shock Wave / 5.5.2：
Boost-Invariant Flow / 5.6：
Large Proper Time Behaviour / 5.7：
The AdS/CFT Analysis / 5.7.1：
Perfect Fluid Geometry / 5.7.2：
Plasma Dynamics Beyond Perfect Fluid / 5.8：
Interlude: Hydrodynamics Redux / 5.9：
Plasma Dynamics Beyond Hydrodynamics / 5.10：
Dynamics at Small Proper Time / 5.11：
The Absence of a Scaling Variable / 5.11.1：
The Existence of a Regular Initial Condition / 5.11.2：
The Classification of Possible Initial Conditions / 5.11.3：
An Analysis of Some Aspects of the Small Proper Time Behaviour of ?(?) / 5.11.4：
Conclusions / 5.12：
Appendix
Fluid Dynamics from Gravity / 6：
Quantum Gravity / 6.1：
Universal Implications / 6.1.2：
QCD / 6.1.3：
Fluid Dynamics / 6.1.4：
Background / 6.2：
Conformal Fluid Dynamics / 6.2.1：
Gravity in the Bulk / 6.2.2：
Fluid/Gravity Map / 6.2.3：
Construction of Bulk Metric and Boundary Stress Tensor / 6.3：
0th Order / 6.3.1：
1st Order / 6.3.2：
Solution to Second Order / 6.4：
The Spacetime Geometry Dual to Fluids / 6.4.1：
Summary / 6.5：
The Gauge-Gravity Duality and Heavy Ion Collisions / 7：
The Wake of a Quark / 7.1：
Jet Correlations at RHIC / 7.1.1：
A Holographic Computation / 7.1.2：
Entropy Production / 7.2：
AdS/CFT on the Brane / 8：
Braneworlds in AdS Spacetime / 8.1：
RS Models / 8.2.1：
Cosmology / 8.2.2：
View from the Brane / 8.3：
Geometrical Holography / 8.3.1：
Does AdS/CFT Play Any Role in Braneworld? / 8.4：
Single-Brane Model / 8.4.1：
Two-Brane Model / 8.4.2：
Gradient Expansion Method / 8.5：
Single Brane Model (RS2) / 8.6：
Einstein Gravity at Lowest Order / 8.6.1：
AdS/CFT Emerges / 8.6.2：
Two-Brane Model (RS1) / 8.7：
Scalar-Tensor Theory Emerges / 8.7.1：
AdS/CFT in Two-Brane System? / 8.7.2：
The Answers / 8.8：
AdS/CFT in Dilatonic Braneworld / 8.8.1：
Dilatonic Braneworld / 8.9.1：
AdS/Radion Correspondence / 8.9.2：
AdS/CFT and KK Corrections: Single-Brane Cases / 8.9.3：
Condensed Matter and the AdS/CFT Correspondence / 8.10：
Condensed Matter and AdS/CFT / 9：
Model Systems and Their Critical Theories / 9.1：
Coupled Dimer Antiferromagnets / 9.2.1：
Deconfined Criticality / 9.2.2：
Graphene / 9.2.3：
Finite Temperature Crossovers / 9.3：
Quantum Critical Transport / 9.4：
Exact Results for Quantum Critical Transport / 9.5：
Hydrodynamic Theory / 9.6：
Relativistic Magnetohydrodynamics / 9.6.1：
Dyonic Black Hole / 9.6.2：
Results / 9.6.3：
d-wave Superconductors / 9.7：
Dirac Fermions / 9.7.1：
Time-Reversal Symmetry Breaking / 9.7.2：
Nematic Ordering / 9.7.3：
Metals / 9.8：
Field Theories / 9.8.1：
Symmetries / 9.8.2：
Scaling Theory / 9.8.3：
Large N Expansion / 9.8.4：
Introduction to Holographic Superconductors / 9.8.5：
Superconductivity / 10.1：
A Gravitational Dual / 10.2：
Probe Limit / 10.3：
Condensate / 10.3.1：
Conductivity / 10.3.2：
Full Solution with Backreaction / 10.4：
Reformulation of the Conductivity / 10.4.1：
Zero Temperature Limit / 10.5：
Adding Magnetic Fields / 10.5.1：
London Equation / 10.6.1：
Correlation Length / 10.6.2：
Vortices / 10.6.3：
Recent Developments / 10.7：
Conclusions and Open Problems / 10.8：
Open Problems / 10.8.1：
Flavor Superconductivity and Superfluidity / 11：
String Motivation / 11.1：
Condensed Matter Motivation / 11.1.2：
Superconductivity and Holography / 11.2：
Basics of Superconductivity and Our Field Theory Idea / 11.2.1：
Holographic Realization / 11.2.2：
Holographic Setup / 11.3：
Flavor from Intersecting Branes / 11.3.1：
Background and Brane Configuration / 11.3.2：
DBI Action and Equations of Motion / 11.3.3：
D-Brane Thermodynamics and Spectrum / 11.4：
Baryon Chemical Potential / 11.4.1：
Isospin Chemical Potential / 11.4.2：
Instabilities and the New Phase / 11.4.3：
Signatures of Super-Something / 11.5：
Thermodynamics of the Broken Phase / 11.5.1：
Fluctuations in the Broken Phase / 11.5.2：
Conductivity and Spectrum / 11.5.3：
Meissner-Ochsenfeld-Effect / 11.5.4：
Interpretation and Conclusion / 11.6：
String Theory Picture / 11.6.1：
Outlook / 11.6.2：
Holographic Torsion and the Prelude to Kalb-Ramond Superconductivity / 12：
Introduction and Summary of the Results / 12.1：
Torsion as the Non-trivial Magnetic Field of Gravity / 12.2：
Details on the the 3 + 1-Split Formalism / 12.2.1：
The Analog of ?-Angle in Gravity / 12.3.1：
Torsion and the Magnetic Field of Gravity / 12.3.2：
The Nieh-Yan Models / 12.4：
General Aspects / 12.4.1：
The 3 + 1-Split of the Pseudoscalar Nieh-Yan Model / 12.4.2：
The Torsion Domain Wall / 12.5：
The Gravity Dual of Parity Symmetry Breaking / 12.6：
Physics in the Bulk: The Superconductor Analogy / 12.7：
Torsion Domain Wall Versus Abrikosov Vortex / 12.7.1：
Domain Wall Condensation / 12.7.2：
Index / 12.8：
Introduction to the AdS/CFT Correspondence / Part I：
Introduction to Anti de Sitter Black Holes / 1：
Spacetimes of Constant Curvature / 1.1：
16.

図書
図書
16. The theory of turbulence : Subrahmanyan Chandrasekhar's 1954 lectures
Edward A. Spiegel, editor
出版情報: Dordrecht ; Heidelberg : Springer, c2011  xiii, 117 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 810
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目次情報: 続きを見る
Prologue
The Turbulence Problem / 1：
The Meaning of 'Turbulence' / 1.1：
Two Fundamental Aspects of Turbulence / 1.2：
The Net Energy Balance / 2：
Interchange of Energy Between States of Motion / 3：
Some Remarks / 4：
On the Harmonic Analysis / 4.1：
On the Concept of Isotropy / 4.2：
On the Possiblity of a Universal Theory / 4.3：
The Spectrum of Turbulent Energy / 5：
The Spectrum / 5.1：
An Equation for the Spectrum / 5.2：
Some Preliminaries to the Development of a Theory of Turbulence / 6：
Heisenberg's Theory of Turbulence / 7：
The Fundamental Equation of the Theory / 7.1：
Chandrasekhar's Solution of (7.17) for the Case of Stationary Turbulence / 7.2：
Fermi's Approach / 8：
Kolmogorov's Theory / 8.2：
The Method of von Neumann / 8.3：
Conclusion / 8.4：
An Alternate Approach: Correlations / 9：
The Equations of Isotropic Turbulence / 10：
The Concept of Isotropy / 10.1：
Two More Examples / 10.2：
Solenoidal Isotropic Tensors / 10.3：
Further Manipulations / 10.3.1：
The Karman-Howarth Equations / 10.3.3：
The Meanings of the Defining Scalars / 12：
Some Results from the Karman-Howarth Equation / 13：
The Taylor Microscale / 13.1：
The Study of the Decay of Turbulence / 13.2：
The Connection Between the Karman-Howarth Equation and the Kolmogorov Theory / 13.3：
The Double Correlation / 13.3.1：
The Triple Correlation / 13.3.2：
The Relation Between the Fourth and Second Order Correlations When the Velocity Follows a Gaussian Distribution / 14：
Some Properties of the Gaussian Distribution / 14.1：
One-Dimensional Gaussian Distribution / 14.1.1：
n-Dimensional Gaussian Function / 14.1.2：
Two-Dimensional Gaussian Function / 14.1.3：
Addition Theorem for Gaussian Distributions / 14.2：
Proof of (14.2) / 14.3：
Chandrasekhar's Theory of Turbulence / 15：
A More Subjective Approach to the Derivation of Chandrasekhar's Equation / 16：
The Dimensionless Form of Chandrasekhar's Equation / 17：
Some Aspects and Advantages of the New Theory / 18：
A Mathematical Justification of the Assumptions of the Heisenberg Theory / 18.1：
Compatibility with the Kolmogorov Theory / 18.2：
The Problem of Introducing the Boundary Conditions / 19：
Discussion of the Case of Negligible Inertial Term / 20：
The Case in Which Viscosity Is Neglected / 21：
Solution of the Non-Viscous Case Near r = 0 / 22：
Solution of the Heat Equation / 23：
Solution of the Quasi-Wave Equation / 24：
The Introduction of Boundary Conditions / 25：
Epilogue
Prologue
The Turbulence Problem / 1：
The Meaning of 'Turbulence' / 1.1：
17.

図書
図書
17. Symmetry, group theory, and the physical properties of crystals
Richard C. Powell
出版情報: New York : Springer, c2010  viii, 230 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 824
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目次情報: 続きを見る
Symmetry in Solids / 1：
Symmetry / 1.1：
Crystal Structures / 1.2：
Symmetry in Reciprocal Space / 1.3：
Problems / 1.4：
References
Group Theory / 2：
Basic Concepts of Group Theory / 2.1：
Character Tables / 2.2：
Group Theory Examples / 2.3：
Group Theory in Quantum Mechanics / 2.3.1：
Tensor Properties of Crystals / 2.5：
First-Rank Matter Tensors / 3.1：
Second-Rank Matter Tensors / 3.2：
Third-Rank Matter Tensors / 3.3：
Fourth-Rank Matter Tensors / 3.4：
Symmetry Properties of Point Defects in Solids / 3.5：
Energy Levels of Free Ions / 4.1：
Crystal Field Symmetry / 4.2：
Energy Levels of Ions in Crystals / 4.3：
Example: d-Electrons / 4.4：
Example: f-Electrons / 4.5：
Symmetry and the Optical Properties of Crystals / 4.6：
Tensor Treatment of Polarization / 5.1：
Birefringence / 5.2：
Optical Activity / 5.3：
Electrooptical Effect / 5.4：
Photoelastic Effect / 5.5：
Nonlinear Optics / 5.6：
Basic Concepts / 6.1：
Effective Nonlinear Optical Coefficient / 6.2：
Index Matching / 6.3：
Maximizing SHG Efficiency / 6.4：
Two-Photon Absorption / 6.5：
Symmetry and Lattice Vibrations / 6.6：
Symmetry and Local Mode Vibrations / 7.1：
Symmetry and Lattice Vibrational Modes / 7.2：
Transitions Between Vibrational Energy Levels / 7.3：
Radiationless Transitions / 7.3.1：
Infrared Transitions / 7.3.2：
Raman Scattering / 7.4：
Jahn-Teller Effect / 7.5：
Symmetry and Electron Energy Levels / 7.6：
Symmetry and Molecular Bonds / 8.1：
Character Tables for Space Groups / 8.2：
Electron Energy Bands / 8.3：
Symmetry Properties of Electron Energy Bands / 8.4：
Index / 8.5：
Symmetry in Solids / 1：
Symmetry / 1.1：
Crystal Structures / 1.2：
18.

図書
図書
18. Topology and geometry for physics
Helmut Eschrig
出版情報: Heidelberg : Springer, c2011  xii, 389 p. ; 24 cm
シリーズ名: Lecture notes in physics ; v. 822
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19.

図書
図書
19. Elementary linear algebra with supplemental applications. 10th ed
Howard Anton, Chris Rorres
出版情報: Hoboken, N.J. : John Wiley & Sons, c2011  xiv, 777 p. ; 26 cm
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目次情報: 続きを見る
Systems of Linear Equations and Matrices / Chapter 1：
Determinants / Chapter 2：
Euclidean Vector Spaces / Chapter 3：
General Vector Spaces / Chapter 4：
Eignvalues and Eigenvectors / Chapter 5：
Inner Product Spaces / Chapter 6：
Diagonalization and Quadratic Forms / Chapter 7：
Linear Transformations / Chapter 8：
Numerical Methods / Chapter 9：
Applications of Linear Algebra / Chapter 10：
Systems of Linear Equations and Matrices / Chapter 1：
Determinants / Chapter 2：
Euclidean Vector Spaces / Chapter 3：
20.

図書
図書
20. Stochastic epidemic models with inference
Tom Britton, Etienne Pardoux, editors
出版情報: Cham : Springer, c2019  xviii, 472 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 2255 . Mathematical biosciences subseries
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21.

図書
図書
21. Lectures on quantum statistics : with applications to dilute gases and plasmas (: [pbk.])
Werner Ebeling, Thorsten Pöschel
出版情報: [Cham] : Springer, c2019  x, 271 p. ; 24 cm
シリーズ名: Lecture notes in physics ; v. 953
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22.

図書
図書
22. Physics of soft impact and cratering (: pbk)
Hiroaki Katsuragi
出版情報: Tokyo : Springer, 2016  x, 307 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 910
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23.

図書
図書
23. An introduction to quantum spin systems
John B. Parkinson, Damian J.J. Farnell
出版情報: Berlin : Springer, c2010  xi, 154 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 816
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目次情報: 続きを見る
Introduction / 1：
References
Spin Models / 2：
Spin Angular Momentum / 2.1：
Coupled Spins / 2.2：
Two Interacting Spin-1/2's / 2.3：
Commutators and Quantum Numbers / 2.4：
Physical Picture / 2.5：
Infinite Arrays of Spins / 2.6：
1D Heisenberg Chain with S = 1/2 and Nearest-Neighbour Interaction / 2.7：
Quantum Treatment of the Spin-1/2 Chain / 3：
General Remarks / 3.1：
Aligned State / 3.2：
Single Deviation States / 3.3：
Two Deviation States / 3.4：
Form of the States / 3.4.1：
Three Deviation States / 3.5：
States with an Arbitrary Number of Deviations / 3.5.1：
Reference
The Antiferromagnetic Ground State / 4：
The Fundamental Integral Equation / 4.1：
Solution of the Fundamental Integral Equation / 4.2：
The Ground State Energy / 4.3：
Antiferromagnetic Spin Waves / 5：
The Basic Formalism / 5.1：
Magnetic Field Behaviour / 5.2：
The XY Model / 6：
Change from Spin Operators to Fermion Operators / 6.1：
Fourier Transform / 6.3：
Quasiparticle Operators / 6.4：
Quasiparticle Energies / 6.5：
Ground State Energy of the XY-Model / 6.6：
Spin-Wave Theory / 7：
Ferromagnetic Spin-Wave Theory / 7.1：
Antiferromagnetic Spin-Wave Theory / 7.3：
Numerical Finite-Size Calculations / 8：
A Simple Example / 8.1：
Results in 1D / 8.3：
Results in 2D / 8.4：
Other Approximate Methods / 9：
Variational Method / 9.1：
Variational Monte Carlo Method / 9.3：
The Green Function Monte Carlo Method / 9.4：
Pertubation Theory / 9.5：
The Coupled Cluster Method / 10：
The CCM Formalism / 10.1：
The XXZ-Model / 10.3：
The LSUB2 Approximation for the Spin-Half, Square-Lattice XXZ-Model for the z-Aligned Model State / 10.3.1：
The SUB2 Approximation for the Spin-Half, Square-Lattice XXZ-Model of the z-Aligned Model State / 10.3.2：
High-Order CCM Calculations Using a Computational Approach / 10.3.3：
Excitation Spectrum of the Spin-Half Square-Lattice XXZ-Model for the z-Aligned Model State / 10.3.4：
The Lattice Magnetisation / 10.4：
Quantum Magnetism / 11：
One-Dimensional Models / 11.1：
The s = 1 Heisenberg Model on the Linear Chain / 11.2.1：
The s = 1 Heisenberg-Biquadratic Model on the Linear Chain / 11.2.3：
The s = 1/2 Heisenberg Model for Archimedean Lattices / 11.3：
Spin Plateaux / 11.4：
The Shastry-Sutherland Antiferromagnet / 11.5：
Conclusions / 11.7：
Index
Introduction / 1：
References
Spin Models / 2：
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