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1.

図書

図書
Avinash Khare
出版情報: Singapore : World Scientific, c2005  xiii, 300 p. ; 23 cm
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2.

図書

図書
Walter E. Thirring ; with foreword by Elliott H. Lieb
出版情報: Providence, R.I. : American Mathematical Society, c1998  xiii, 729 p. ; 26 cm
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3.

図書

図書
Ian Percival
出版情報: New York : Cambridge University Press, 1998  xi, 184 p. ; 25 cm
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目次情報: 続きを見る
Introduction / 1:
Brownian motion and It( calculus / 2:
Open quantum systems / 3:
Quantum state diffusion / 4:
Localisation / 5:
Numerical methods and examples / 6:
Quantum foundations / 7:
Primary state diffusion / 8:
Classical dynamics of quantum localisation / 9:
Semiclassical theory and linear dynamics / 10:
Introduction / 1:
Brownian motion and It( calculus / 2:
Open quantum systems / 3:
4.

図書

図書
Joachim Kock, Israel Vainsencher
出版情報: Boston : Birkhäuser, c2007  xii, 159 p. ; 25 cm
シリーズ名: Progress in mathematics ; v. 249
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目次情報: 続きを見る
Preface
Introduction
Prologue: Warming up with Cross Ratios, and the Definition of Moduli Space / 0:
Cross ratios / 0.1:
Definition of moduli space / 0.2:
Stable n-pointed Curves / 1:
n-pointed smooth rational curves / 1.1:
Stable n-pointed rational curves / 1.2:
Stabilization, forgetting marks, contraction / 1.3:
Sketch of the construction of [Characters not reproducible subscript 0,n] / 1.4:
The boundary / 1.5:
Generalizations and references / 1.6:
Stable Maps / 2:
Maps P[superscript 1 Characters not reproducible] P[superscript r] / 2.1:
1-parameter families / 2.2:
Kontsevich stable maps / 2.3:
Idea of the construction of [Characters not reproducible subscript 0,n] (P[superscript r], d) / 2.4:
Evaluation maps / 2.5:
Forgetful maps / 2.6:
Easy properties and examples / 2.7:
Complete conics / 2.9:
Enumerative Geometry via Stable Maps / 2.10:
Classical enumerative geometry / 3.1:
Counting conics and rational cubics via stable maps / 3.2:
Kontsevich's formula / 3.3:
Transversality and enumerative significance / 3.4:
Stable maps versus rational curves / 3.5:
Gromov-Witten Invariants / 3.6:
Definition and enumerative interpretation / 4.1:
Properties of Gromov-Witten invariants / 4.2:
Recursion / 4.3:
The reconstruction theorem / 4.4:
Quantum Cohomology / 4.5:
Quick primer on generating functions / 5.1:
The Gromov-Witten potential and the quantum product / 5.2:
Associativity / 5.3:
Kontsevich's formula via quantum cohomology / 5.4:
Bibliography / 5.5:
Index
Preface
Introduction
Prologue: Warming up with Cross Ratios, and the Definition of Moduli Space / 0:
5.

図書

図書
by William Bender
出版情報: Minneapolis : Burgess Pub., c1958  ix, 340 p. ; 29 cm
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6.

図書

図書
А.Ф. Никифоров, В.Б. Уваров, Ю.Л. Левитан
出版情報: Москва : Вычислительный центр АН СССР, 1962  319 p. ; 27 cm
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7.

図書

図書
Ian G. Moss
出版情報: Chichester : John Wiley, c1996  xii, 162 p. ; 24 cm
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8.

図書

図書
C. Grosche
出版情報: Singapore : World Scientific, c1996  xi, 280 p. ; 23 cm
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9.

図書

図書
edited by Claudio Chamon ... [et al.]
出版情報: Oxford : Oxford University Press, 2017  xxxi, 671 p. ; 26 cm
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10.

図書

図書
Dae Mann Kim
出版情報: Weinheim : Wiley-VCH, c2010  xv, 447 p. ; 25 cm
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目次情報: 続きを見る
Brief Review of Classical Theories
Harmonic Oscillator
Boltzmann Transport Equation
Maxwell's Equations
Milestone Discoveries and Old Quantum Theory
Blackbody Radiation and Quantum of Energy
Specific Heat of Solids
Photoelectric Effects
Compton Scattering
Duality of Matter
Bohr?s H-Atom Theory
Schrodinger Equation and Operator Algebra
Schrodinger Equation
Momentum Eigenfunction and Fourier Series
Hermitian Operator and Bra Ket Notations
Orthgonality and Completeness of Eigenfunctions
Basic Postulates of Quantum Mechanics
Commutation Relations
Conjugate Variables and Uncertainty Relation
Operator Equation of Motion and Ehrenfest Theorem
Particle in Potential Well
Infinite Square Well Potential
Particle in 3-D Box
Density of States: 1-D, 2-D and 3-D
Particle in Quantum Well
Particle in Delta Function Potential Well
Quantum Well and Wire
Scattering of a Particle at 1-D Potentials
Scattering at Step Potential
Scattering at Quantum Well
Tunneling and Its Applications
Tunneling across Square Potential Barrier
Fowler-Nordheim and Direct Tunneling
Resonant Tunneling
The Applications of Tunneling
Periodic Potentials and Energy Bands
1-D Crystal and Kronig-Penny Model
E-k Dispersion and Energy Bands
Energy Bands and Resonant Tunneling
The Harmonic Oscillator
Energy Eigenequation
The Properties of Energy Eigenfunction
The Operator Treatment
The Angular Momentum
Angualr Momentum Operators
Eigenfunctions and Spherical Harmonics
The Hydrogen Atom: The Schrodinger Treatment
Two-Body Central Force Problem
The Hydrogen Atom
The Atomic Orbital
Virial Theorm and Doppler Shift
System of Identical Particles and Many-Electron Atoms
Two Electron System
Two Spin 1/2 System
The Helium Atom
The Periodic Table and the Structure of Atoms
Molecules and Chemical Bonds
The Ionized Hydrogen Molecule
The Hydrogen Molecule
Ionic Bond and Van der Waals Attraction
The Perturbation Theory
Time Independent Perturbation in Non-Degenerate Systems
Time Dependent Perturbation Theory
Atom - Field Interaction
Field Quantization
Atom -
Field Interaction
Driven, Damped Two Level Atom
Interaction Between Em Waves and Optical Media
Attenuation and Dispersion of Waves
Density Matrix and Ensemble Averaging
Laser Devices
Quantum Statistics
General Background and Three Kinds of Particles
Statistics for Distinguishable particles
Statistics for Fermions and Fermi Distribution Function
Statistics for Boson and Bose Einstein Distribution
Semiconductor Statistics
Carrier Densities in Intrinsic Semiconductors
Carrier Densities in Extrinsic Semiconductors
Fermi Level in Extrinsic Semiconductors
Charge Transport in Semiconductors
Drift and Diffusion Currents
Transport Coefficients
Equilibrium and Non-Equilibrium
Recombination and Generation Currents
P-N Junction Diode
The Junction Interface in Equilibrium
The Junction Interface Under Bias
The Diode I-V
Applications of P-N Junction Diodes
The Bipolar Junction Transistor: Device Physics and Technology
Bipolar Junction Transistor: Overview
The Physics of Transistor Action
Ebers Moll Equations
Base Transit Time and Charge Control Model
Metal Oxide Silicon Field Effect Transistors (Mosfet) I: Overview of Device Behavior and Applications
MOSFET: Overview
Charge Control and Metal-Oxide-Silicon System
NMOS I-V
Applications of MOSFET
Metal Oxide Silicon Field Effect Transistors (Mosfet) Ii: Device Scaling and Schottky Contact
Device Scaling: Physical issues and Limitations
Metal - Semiconductor Contacts
The I-V Behavior in Metal - Semiconductor Contacts
Brief Review of Classical Theories
Harmonic Oscillator
Boltzmann Transport Equation
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