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1.

図書

図書
Jan Cnops
出版情報: Boston : Birkhäuser, c2002  x, 211 p. ; 24 cm
シリーズ名: Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser ; v. 24
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Introduction
Clifford Algebras
Manifolds
Dirac Operators
Conformal Maps
Unique Continuation and the Cauchy Kernel
Boundary Values
Appendix
General Manifolds
The Additional Canterbury Tales
List of Symbols
Bibliography
Index
Introduction
Clifford Algebras
Manifolds
2.

図書

図書
Yakir Aharonov and Daniel Rohrlich
出版情報: Weinheim : Wiley-VCH, c2005  x, 289 p. ; 25 cm
シリーズ名: Physics textbook
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3.

図書

図書
B.S. Chandrasekhar
出版情報: Cambridge ; New York : Cambridge University Press, 1998  x, 254 p. ; 26 cm
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Preface
Introduction / 1:
Crystals / 2:
Particles and waves / 3:
The atom / 4:
Statistical physics / 5:
The quantum mechanical crystal / 6:
Copper wires and glass rods / 7:
Silver spoons and plastic spoons / 8:
Glass panes and aluminium foils / 9:
Electric bulbs and insulated cables / 10:
Magnets / 11:
Superconductors / 12:
Conclusion / 13:
Glossary
Preface
Introduction / 1:
Crystals / 2:
4.

図書

図書
Gary E. Bowman
出版情報: Oxford : Oxford University Press, 2008  xi, 208 p. ; 24 cm
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Preface
Introduction: Three Worlds / 1:
Worlds 1 and 2 / 1.1:
World 3 / 1.2:
Problems / 1.3:
The Quantum Postulates / 2:
Postulate 1: The Quantum State / 2.1:
Postulate 2: Observables, Operators, and Eigenstates / 2.2:
Postulate 3: Quantum Superpositions / 2.3:
Discrete Eigenvalues / 2.3.1:
Continuous Eigenvalues / 2.3.2:
Closing Comments / 2.4:
What Is a Quantum State? / 2.5:
Probabilities, Averages, and Uncertainties / 3.1:
Probabilities / 3.1.1:
Averages / 3.1.2:
Uncertainties / 3.1.3:
The Statistical Interpretation / 3.2:
Bohr, Einstein, and Hidden Variables / 3.3:
Background / 3.3.1:
Fundamental Issues / 3.3.2:
Einstein Revisited / 3.3.3:
The Structure of Quantum States / 3.4:
Mathematical Preliminaries / 4.1:
Vector Spaces / 4.1.1:
Function Spaces / 4.1.2:
Dirac's Bra-ket Notation / 4.2:
Bras and Kets / 4.2.1:
Labeling States / 4.2.2:
The Scalar Product / 4.3:
Quantum Scalar Products / 4.3.1:
Discussion / 4.3.2:
Representations / 4.4:
Basics / 4.4.1:
Superpositions and Representations / 4.4.2:
Representational Freedom / 4.4.3:
Operators / 4.5:
Introductory Comments / 5.1:
Hermitian Operators / 5.2:
Adjoint Operators / 5.2.1:
Hermitian Operators: Definition and Properties / 5.2.2:
Wavefunctions and Hermitian Operators / 5.2.3:
Projection and Identity Operators / 5.3:
Projection Operators / 5.3.1:
The Identity Operator / 5.3.2:
Unitary Operators / 5.4:
Matrix Mechanics / 5.5:
Elementary Matrix Operations / 6.1:
Vectors and Scalar Products / 6.1.1:
Matrices and Matrix Multiplication / 6.1.2:
Vector Transformations / 6.1.3:
States as Vectors / 6.2:
Operators as Matrices / 6.3:
An Operator in Its Eigenbasis / 6.3.1:
Matrix Elements and Alternative Bases / 6.3.2:
Change of Basis / 6.3.3:
Adjoint, Hermitian, and Unitary Operators / 6.3.4:
Eigenvalue Equations / 6.4:
Commutators and Uncertainty Relations / 6.5:
The Commutator / 7.1:
Definition and Characteristics / 7.1.1:
Commutators in Matrix Mechanics / 7.1.2:
The Uncertainty Relations / 7.2:
Uncertainty Products / 7.2.1:
General Form of the Uncertainty Relations / 7.2.2:
Interpretations / 7.2.3:
Reflections / 7.2.4:
Angular Momentum / 7.3:
Angular Momentum in Classical Mechanics / 8.1:
Basics of Quantum Angular Momentum / 8.2:
Operators and Commutation Relations / 8.2.1:
Eigenstates and Eigenvalues / 8.2.2:
Raising and Lowering Operators / 8.2.3:
Physical Interpretation / 8.3:
Measurements / 8.3.1:
Relating L[superscript 2] and L[subscript z] / 8.3.2:
Orbital and Spin Angular Momentum / 8.4:
Orbital Angular Momentum / 8.4.1:
Spin Angular Momentum / 8.4.2:
Review / 8.5:
The Time-Independent Schrodinger Equation / 8.6:
An Eigenvalue Equation for Energy / 9.1:
Using the Schrodinger Equation / 9.2:
Conditions on Wavefunctions / 9.2.1:
An Example: the Infinite Potential Well / 9.2.2:
Interpretation / 9.3:
Energy Eigenstates in Position Space / 9.3.1:
Overall and Relative Phases / 9.3.2:
Potential Barriers and Tunneling / 9.4:
The Step Potential / 9.4.1:
The Step Potential and Scattering / 9.4.2:
Tunneling / 9.4.3:
What's Wrong with This Picture? / 9.5:
Why Is the State Complex? / 9.6:
Complex Numbers / 10.1:
Polar Form / 10.1.1:
Argand Diagrams and the Role of the Phase / 10.1.3:
The Phase in Quantum Mechanics / 10.2:
Phases and the Description of States / 10.2.1:
Phase Changes and Probabilities / 10.2.2:
Unitary Operators Revisited / 10.2.3:
Unitary Operators, Phases, and Probabilities / 10.2.4:
Example: A Spin 1/2 System / 10.2.5:
Wavefunctions / 10.3:
Time Evolution / 10.4:
The Time-Dependent Schrodinger Equation / 11.1:
How Time Evolution Works / 11.2:
Time Evolving a Quantum State / 11.2.1:
Unitarity and Phases Revisited / 11.2.2:
Expectation Values / 11.3:
Time Derivatives / 11.3.1:
Constants of the Motion / 11.3.2:
Energy-Time Uncertainty Relations / 11.4:
Conceptual Basis / 11.4.1:
Spin 1/2: An Example / 11.4.2:
What is a Wavefunction? / 11.5:
Eigenstates and Coefficients / 12.1.1:
Representations and Operators / 12.1.2:
Changing Representations / 12.2:
Change of Basis Revisited / 12.2.1:
From x to p and Back Again / 12.2.2:
Gaussians and Beyond / 12.2.3:
Phases and Time Evolution / 12.3:
Free Particle Evolution / 12.3.1:
Wavepackets / 12.3.2:
Bra-ket Notation / 12.4:
Quantum States / 12.4.1:
Eigenstates and Transformations / 12.4.2:
Epilogue / 12.5:
Mathematical Concepts / 12.6:
Complex Numbers and Functions / A.1:
Differentiation / A.2:
Integration / A.3:
Differential Equations / A.4:
Quantum Measurement / B:
The Harmonic Oscillator / C:
Energy Eigenstates and Eigenvalues / C.1:
The Number Operator and its Cousins / C.2:
Photons as Oscillators / C.3:
Unitary Transformations / D:
Finite Transformations and Generators / D.1:
Continuous Symmetries / D.3:
Symmetry Transformations / D.3.1:
Symmetries of Physical Law / D.3.2:
System Symmetries / D.3.3:
Bibliography
Index
Preface
Introduction: Three Worlds / 1:
Worlds 1 and 2 / 1.1:
5.

図書

図書
Roger Penrose with Abner Shimony, Nancy Cartwright and Stephen Hawking ; edited by Malcolm Longair
出版情報: Cambridge : Cambridge University Press, 2000  xxii, 201 p. ; 22 cm
シリーズ名: Canto
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6.

図書

図書
edited by Jørgen Kalckar
出版情報: Amsterdam : Elsevier, 2008  2 v. ; 27 cm
シリーズ名: Collected works / Niels Bohr ; general editor, L. Rosenfeld ; v. 6-7
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7.

図書

図書
Franz Schwabl ; translated by Roginald Hilton and Angela Lahee
出版情報: Berlin ; New York : Springer, c1999  xv, 405 p. ; 25 cm
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目次情報:
Nonrelativistic multi-particle-systems
Relativistic wave equations
Relativistic fields
Nonrelativistic multi-particle-systems
Relativistic wave equations
Relativistic fields
8.

図書

図書
Thomas Thiemann
出版情報: Cambridge : Cambridge University Press, 2008  xxvi, 819 p. ; 25 cm
シリーズ名: Cambridge monographs on mathematical physics
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Preface
Notation and conventions
Introduction
Classical Foundations, Interpretation and the Canonical Quantisation Programme / Part I:
Classical Hamiltonian formulation of general relativity / 1:
The problem of time, locality and the interpretation of quantum mechanics / 2:
The programme of canonical quantisation / 3:
The new canonical variables of Ashtekar for general relativity / 4:
Foundations of Modern Canonical Quantum General Relativity / Part II:
Step I: the holonomy-flux algebra [P] / 5:
Step II: quantum-algebra / 7:
Step III: representation theory of [A] / 8:
Step IV / 9:
Implementation and solution of the kinematical constraints
Step V / 10:
Implementation and solution of the Hamiltonian constraint
Step VI: semiclassical analysis / 11:
Physical Applications / Part III:
Extension to standard matter / 12:
Kinematical geometrical operators / 13:
Spin foam models / 14:
Quantum black hole physics / 15:
Applications to particle physics and quantum cosmology / 16:
Loop quantum gravity phenomenology / 17:
Mathematical Tools and their Connection to Physics / Part IV:
Tools from general topology / 18:
Differential, Riemannian, symplectic and complex geometry / 19:
Semianalytical category / 20:
Elements of fibre bundle theory / 21:
Holonomies on non-trivial fibre bundles / 22:
Geometric quantisation / 23:
The Dirac algorithm for field theories with constraints / 24:
Tools from measure theory / 25:
Elementary introduction to Gel'fand theory for Abelean C* algebras / 26:
Bohr compactification of the real line / 27:
Operatir -algebras and spectral theorem / 28:
Refined algebraic quantisation (RAQ) and direct integral decomposition (DID) / 29:
Basics of harmonic analysis on compact Lie groups / 30:
Spin network functions for SU(2) / 31:
+ Functional analytical description of classical connection dynamics / 32:
Bibliography
Index
Preface
Notation and conventions
Introduction
9.

図書

図書
Ian G. Moss
出版情報: Chichester : John Wiley, c1996  xii, 162 p. ; 24 cm
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10.

図書

図書
edited by Alexander S. Shumovsky and Valery I. Rupasov
出版情報: Dordrecht : Kluwer Academic, c2003  xvi, 349 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II . Mathematics, physics, and chemistry ; v. 113
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Preface
Contributing Authors
Introduction
Schmidt-mode Analysis of Entanglement for Quantum Information Studies / J.H. Eberly ; K. W. Chan ; C. K. Law
The Schmidt Theorem / 1:
Finite Hilbert space / 3:
Quantum Entanglement in Very Large State Spaces / 4:
Beyond Spontaneous Emission / 5:
Summary / 6:
Quantum Metrology and Quantum Information Processing with Hyper-entangled Quantum States / A. V. Sergienko ; G. S. Jaeger ; G. Di Giuseppe ; Bahaa E. A. Saleh ; Malvin C. Teich
Hyperentangled State Engineering
Quantum Metrology and Quantum Information
Conclusion
Optimal Manipulations with Quantum Information: Universal Quantum Machines / Vladimir Buzek
Bell Telephone & FLASH
No-cloning Theorem
Universal Quantum Cloners
No-signaling & Linearity of Quantum Mechanics
Cloning, Signaling & POVM
Flipping Qubits: Universal NOT Gate / 7:
Experimental Realization of U-NOT Gate / 8:
Proof of Theorem I / 9:
An Introduction to Quantum Imaging / L.A. Lugiato ; A. Gatti ; E. Brambilla
The Optical Parametric Amplifier and Its Spatial Quantum Properties
Detection of Weak Amplitude or Phase Objects Beyond the Standard Quantum Limit
Quantum Imaging with Entangled Photon Pairs
Image Amplification by Parametric Down Conversion
Measurement of Small Displacements
Image Reconstruction
Lecture notes on quantum-nondemolition measurements in optics / Victor V. Kozlov
Back-action in repeated quantum measurements
QND measurements of photon number in a cavity
Formal QND requirements
QND measurements via Kerr interaction
QND measurements of solitons in optical fibers
Cavity Quantum Electrodynamics with Single Atoms / Herbert Walther
Review of the One-Atom Maser
Generation of Fock States in the One-Atom Maser
Cavity Quantum Electrodynamics with Trapped Ions
Multipole Radiation in Quantum Domain / Alexander S. Shumovsky ; M. Ali Can ; Oney Soykal
Quantization of Multipole Radiation
Angular Momentum of Multipole Photons
Quantum Phase of E1 Photons
Polarization of Multipole Photons
Theory of Atomic Hyperfine Structure / Anatoly V. Andreev
Equation for Spin 1/2 Particle Interacting with Electromagnetic Field
Interaction of Electron with Electric and Magnetic Fields
Discussion
Interaction of Mesoscopic Devices with non-classical Electromagnetic Fields / A. Vourdas
AC Aharonov-Bohm Phenomena
Interaction of Josephson Devices with non-classical Microwaves
Dual Phenomena with Vortex Condensates in Josephson Array Insulating Rings
References
Resonance Quantum Optics of Photonic Crystals / Valery I. Rupasov
Generalized Quantum Maxwell-Bloch Model
Quantum Version of McCall-Hahn Theory
One-particle Problem in Generalized QMB Model
Hidden Bethe Basis for Free Polariton Field
Exact Diagonalization of Generalized QMB Model
SIT Pulses in Dispersive Medium
Polarization Effects
Photonic Crystals For Communications / Thomas F. Krauss
Fabrication
Waveguide Propagation Losses
Y-Junctions
Dispersion
Spectral Dispersion
Discussion and Conclusion
Physics and Applications of Defect Structures in Photonic Crystals / Ekmel Ozbay ; Mehmet Bayindir
Localized Coupled-Cavity Modes in Photonic Crystals
Coupled-Cavities in 3D Photonic Crystals
Highly Confined Photonic Crystal Waveguides
Coherence and Superfluidity in Atomic Gases / M.P. Tosi
Bose-condensed Gases of Alkali Atoms Inside Harmonic Traps
Condensates in Optical Lattices
Confined Fermi Gases and Boson-fermion Mixtures
Concluding Remarks
Different Scattering Regimes in Two-dimensional Bose-Einstein Condensates / B. Tanatar
Theory
Results and Discussion
Summary and Concluding Remarks
An Information-theoretic Analysis of Grover's Algorithm / Erdal Arikan
A General Framework for Quantum Search
Grover's Algorithm
Index
Lecture Notes on Quantum-nondemolition Measurements in Optics / K.W. Chan ; C.K. Law ; A.V. Sergienko ; G.S. Jaeger ; G. di Giuseppe ; B.E.A. Saleh ; M.C. Teich ; V. Buzek ; V.V. Kozlov
Interaction of Mesoscopic Devices with Non-classical Electromagnetic Fields / H. Walther ; A.S. Schumovsky ; M.A. Can ; +. Soykal ; A.V. Andreev
Photonic Crystals for Communications / V.I. Rupasov ; T.F. Krauss
Coherence and Superfluidity of Atomic Gases / E. Ozbay ; M. Bayinder
An Information-theoretic Analysis of Grover's Algorithm / E. Arikan
Preface
Contributing Authors
Introduction
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