Muga, J. G. et al. ed.
Time in Quantum Mechanics Vol.1, 2nd ed.
Springer-Verlag 2008.
456 pp.(H)
ISBN 3-540-73472-4
12,000円
Contents
1. Introduction/ 2. Characteristic Times in One-Dimensional Scattering/ 3. The Time-Energy Uncertainty Relation Paul Busch/ 4. Jump Time and Passage Time: The Duration of a Quantum Transition/ 5. Bohm Trajectory Approach to Timing Electrons/ 6. Decoherent Histories for Space-Time Domains/ 7 Quantum Traversal Time, Path Integrals and ‘Superluminal’Tunnelling/ 8 Quantum Clocks and Stopwatches/ 9. The Local Larmor Clock, Partial Densities of States, and Mesoscopic Physics/ 10.‘Standard’ Quantum-Mechanical Approach to Times of Arrival/ 11. Experimental Issues in Quantum-Mechanical Time Measurement/ 12. Microwave Experiments on Tunneling Time/ 13. The Two-State Vector Formalism: An Updated Review/ References/ Index/ *
Strocchi, F. ed.
Symmetry Breaking 2nd ed.
Springer-Verlag 2008.
216 pp.(H)
ISBN 3-540-73592-5
7,500円
Contents
Part I: Symmetry Breaking in Classical Systems Introduction to Part I: 1. Symmetries of a Classical System/ 2. Spontaneous Symmetry Breaking/ 3. Symmetries in Classical Field Theory/ 4. General Properties of Solutions of Classical Field Equations/ 5. Stable Structures, Hilbert Sectors, Phases/ 6. Stability under Space Translations. Positive Energy/ 7. Noether Theorem and Symmetry Breaking/ 8. Examples/ 9. The Goldstone Theorem/ 10. Appendix/ A. Properties of the Free Wave Propagator/ B. The Cauchy Problem for Small Times/ C. The Global Cauchy Problem/ D. The Non-linear Wave Equation with Driving Term/ E. Time Independent Solutions Defining Physical Sectors/ Part II: Symmetry Breaking in Quantum Systems Introduction to Part II: 1. Quantum Mechanics. Algebraic Structure and States/ 2. Fock Representation/ 3. Non-Fock Representations/ 4. Mathematical Description of Infinitely Extended Quantum Systems/ 5. Physically Relevant Representations/ 6. Cluster Property and Pure Phases/ 7. Examples/ 8. Symmetry Breaking in Quantum Systems/ 9. Examples/ 10. Constructive Symmetry Breaking/ 11. Symmetry Breaking in the Ising Model/ 12. Thermal States/ 13. Fermi and Bose Gas at Non-zero Temperature/ 14. Quantum Fields at Non-zero Temperature/ 15. Breaking of Continuous Symmetries. Goldstone’s Theorem/ 16 .The Goldstone Theorem at Non-zero Temperature/ 17. The Goldstone Theorem for Relativistic Local Fields/ 18. An Extension of Goldstone Theorem to Non-symmetric Hamiltonians/ 19. Symmetry Breaking in Gauge Theories/ References/ Index/ *
Fujita, Takehisa
Symmetry and Its Breaking in Quantum Field Theory
Nova Science Pub. 2007.2
243 pp. (H)
ISBN 1-60021-241-7
14,500円
Contents
* この本は場の理論における対称性とその破れについて解説したものです.量子力学および場の理論の初歩的な物理はすべて収録されています.
1. Classical Field Theory of Fermions/ 2. Symmetry and Conservation Law/ 3. Quantization of Fields/ 4. Goldstone Theorem and Spontaneous Symmetry Breaking/ 5. Quantum Electrodynamics/ 6. Quantum Chromodynamics/ 7. Thirring Model/ 8. Lattice Field Theory/ 8a. Introduction to Field Theory/ 8b. Non-relativistic Quantum Mechanics/ 8c. Relativistic Quantum Mechanics of Bosons/ 8d. Relativistic Quantum Mechanics of Fermions/ 8e. Maxwell Equation and Gauge Transformation/ 8f. Regularizations and Renormalizations/ 8g. Path Integral Formulation/ 8h. New Concept of Quantization/ 8i. Renormalization in QED/ References/ Index/
* Field theory has special complexities which may not be common to other fields of research. Symmetry and its breaking are most exotic and sometimes almost mysterious to even those who can normally understand basic physics. In this textbook, there is a focus on presenting a simple and clear picture of the symmetry and its breaking in quantum field theory. *
Rovelli, C.
Quantum Gravity
Cambridge University Press 2007.12
484 pp.(P)
ISBN 0-521-71596-2
8,700円
Contents
Part I: Relativistic foundations: 1. General ideas and heuristic picture/ 2. General Relativity/ 3. Mechanics/ 4. Hamiltonian general relativity / 5. Quan tum mechanics/ Part II: Loop quantum gravity: 6. Quantum space/ 7. Dynamics and matter/ 8. Applications/ 9. Quantum spacetime: spinfoams/ 10. Conclusion/ Part III: Appendices: Appendix A: Groups and recoupling theory/ Appendix B: History/ Appendix C: On method and truth/ References/ Index/
* Quantum gravity poses the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. *
Orszag, M. ed.
Quantum Optics 2nd ed.
Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence
量子光学 第２版 ノイズ軽減、イオントラップ、量子トラジェクトリ、デコヒーレンスを含む
Springer-Verlag 2008.1
414 pp.(H)
ISBN 3-540-72706-X
12,200円
Contents
1.Einstein's Theory of Atom-Radiation Interaction/ 2.Atom-Field Interaction: Semiclassical Approach/ 3.States of the Electromagnetic Field II/ 4.Quantum Theory of Coherence/ 5.Phase Space Description/ 6.Atom-Field Interaction/ System-Reservoir Interactions/ 7.Resonance Fluorescence/ 8.Quantum Laser Theory. Master Equation Approach/ 9.Quantum Noise Reduction/ 10.1- Quantum Noise Reduction/ 11. 2- Quantum Phase/ Quantum Trajectories/ 12.Atom Optics/ 13.Measurements, Quantum Limits and all that/ 14.Trapped Ions/ 15.Decoherence/ Quantum Bits, Entanglement and Applications/ 16.Quantum Cloning and Processing/ A Operator Relations/ B The Method of Characteristics/ C Proof/ D Stochastic Processes in a Nutshell/ E Derivations of the Homodyne Stochastic Schrdinger Differential Equation/ F Fluctuations/ G The No-Cloning Theorem/ H The Universal Quantum Cloning Machine/ I Hints to Solve the Problems/ Index/ *
Bowman, G.
Essential Quantum Mechanics
Oxford U.P. 2008.1
224 pp.(P)
ISBN 0-19-922893-0
6,100円
Contents
1. Introduction: Three Worlds/ 2. The Quantum Postulates/3. What is a Quantum State?/ 4. The Structure of Quantum States/ 5. Operators/ 6. Matrix Mechanics/ 7. Commutators and Uncertainty Relations/ 8. Angular Momentum 9. The Time-independent Schrdinger Equation/ 10. Why is the State Complex?/ 11. Time Evolution/ 12. Wavefunctions/ Appendices/ Index/ *
Petz, D.
Quantum Information Theory and Quantum Statistics
Springer-Verlag 2008.
216 pp.(H)
ISBN 3-540-74634-X
9,800円
Contents
1.Introduction/ 2.Prerequisites from Quantum Mechanics/ 3.Information and Its Measures/ 4.Entanglement/ 5.More About Information Quantities/ 6.Quantum Compression/ 7.Channels and Their Capacity/ 8.Hypothesis Testing/ 9.Coarse-Grainings/ 10.State Estimation/ 11.Appendix: Auxiliary Linear and Convex Analysis/ Index/ Literature/
* Based on lectures given by the author, this book focuses on providing reliable introductory explanations of key concepts of quantum information theory and quantum statistics - rather than on results.
* The mathematically rigorous presentation is supported by numerous examples and exercises and by an appendix summarizing the relevant aspects of linear analysis. Assuming that the reader is familiar with the content of standard undergraduate courses in quantum mechanics, probability theory, linear algebra and functional analysis, the book addresses graduate students of mathematics and physics as well as theoretical and mathematical physicists.
* Conceived as a primer to bridge the gap between statistical physics and quantum information, a field to which the author has contributed significantly himself, it emphasizes concepts and thorough discussions of the fundamental notions to prepare the reader for deeper studies, not least through the selection of well chosen exercises. *
773-35 登録日 08.03.31
