Schwabl, F.
Quantum Mechanics 4th ed.
量子力学 第４版
Springer-Verlag 2007.
424 pp.(H)
ISBN 3-540-71932-6
9,400円
Contents
Part.1. Historical and Experimental Foundations/ Part.2. The Wave Function and the Schrodinger Equation/ Part.3. One-Dimensional Problems/ Part.4. The Uncertainty Relation/ Part.5. Angular Momentum/ Part.6. The Central Potential I/ Part.7. Motion in an Electromagnetic Field/ Part.8. Operators, Matrices, State Vectors/ Part.9. Spin/ Part.10. Addition of Angular Momenta/ Part.11. Approximation Methods for Stationary States/ Part.12. Relativistic Corrections/ Part.13. Several-Electron Atoms/ Part.14. The Zeeman Effect and the Stark Effect/ Part.15. Molecules/ Part.16. Time Dependent Phenomena/ Part.17. The Central Potential II/ Part.18. Scattering Theory/ Part.19. Supersymmetric Quantum Theory/ Part.20. State and Measurement in Quantum Mechanics/ Appendix/ A. Mathematical Tools for the Solution of Linear Differential Equations: A.1 The Fourier Transform/ A.2 The Delta Function and Distributions/ A.3 Green’s Functions/ B. Canonical and Kinetic Momentum/ C. Algebraic Determination of the Orbital Angular Momentum Eigenfunctions/ D. The Periodic Table and Important Physical Quantities/ Subject Index/
* This represents the introductory course which would precede and so complements the author's book on Advanced Quantum Mechanics. The new edition has been up-dated and thoroughly revised throughout and now includes many new or newly drawn figures which will facilitate an easier understanding of subtle topics. The book meets students' needs in providing detailed mathematical steps along the way, with worked examples and applications throughout the text, and many problems for the reader at the end of each chapter. *
Donald , M.
Quantum Plasmadynamics
Unmagnetized Plasmas
Springer-Verlag 2008.
466pp.(H)
ISBN 0-387-73902-5
12,000円
Contents
1.Preface/ 2.Response 4-Tensors/ 3.Covariant Theory of Wave Dispersion/ 4.Particle and Wave Subsystems/ 5.Dispersion in Relativistic Plasmas/ 6.Classical Plasmadynamics/ 7.Quantam Field Theory/ 8.QPD Processes/ 9.Responses of a Quantam Plasma/ 10.Isotropic Quantam Plasmas/ 11.Spin, MMR and Neutrino Plasma/ 12.Units and Physical Quantities/ index/
* In this book, plasma kinetic theory is developed in a covariant (4-tensor) notation, which facilitates generalizations to include all relativistic and electromagnetic effects. Relativistic quantum effects are included by using quantum electrodynamics (QED) to calculate the plasma response 4-tenors. The effects of the plasma are included in QED by replacing the photon propagator in vacuo by that in the medium, such that the poles of this propagator correspond to the natural wave modes of the medium. *
Radovanovic, V
Problem Book in Quantum Field Theory 2nd ed.
Springer, DEU 2008.2.3
243 pp.(P)
ISBN 3-540-77013-5
9,300円
Contents
1.Problems: Lorentz and Poincar Symmetries/ 2.The Klein-Gordon Equation/ 3.The gamma-matrices/ 4.The Dirac Equation/ 5.Classical Field Theory and Symmetries/ 6.Green Functions/ 7.Canonical Quantization of Scalar Field/ 8.Canonical Quantization of the Dirac Field/ 9.Canonical Quantization of the Electromagnetic Field/ 10.Processes in the Lowest Order of Perturbation Theory/ 11.Renormalization and Regularization/ 12.Solutions: Lorentz and Poincar Symmetries/ 13.The Klein-Gordon Equation/ 14.The gamma-matrices/ 15.The Dirac Equation/ 16. Classical Field Theory and Symmetries/ 17.Green Functions.- Canonical Quantization of Scalar Fields/ 18.Canonical Quantization of the Dirac Field/ 19.Canonical Quantization of the Electromagnetic Field.- Processes in the Lowest Order of Perturbation Theory/ 20.Renormalization and Regularization/ Index/
* The Problem Book in Quantum Field Theory contains about 200 problems with solutions or hintsﾊthat help students to improve their understanding and develop skills necessary for pursuing the subject. It deals with the Klein-Gordon and Dirac equations, classical field theory, canonical quantization of scalar, Dirac and electromagnetic fields, the processes in the lowest order of perturbation theory, renormalization and regularization. The solutions are presented in a systematic and complete manner.The material covered and the level of exposition make the bookﾊappropriate for graduate and undergraduate students in physics, as well as for teachers and researchers. The new edition is a corrected paperback edition for students. *
Haug, H. & Jauho, A. - P.
Quantum Kinetics in Transport and Optics of Semiconductors 2nd ed.
Springer-Verlag 2008.
362 pp.(H)
ISBN 3-540-73561-5
21,300円
Contents
Part I: Introduction to Kineticsand Many-Body Theory: 1. Boltzmann Equation/ 2. Numerical Solutions of the Boltzmann Equation/ 3. Equilibrium Green Function Theory/ Part II: Nonequilibrium Many-Body Theory: 4. Contour-Ordered Green Functions/ 5. Basic Quantum Kinetic Equations/ 6. Boltzmann Limit/ 7. Gauge Invariance/ 8. Quantum Distribution Functions/ Part III: Quantum Transport in Semiconductors: 9 Linear Transport/ 10. Field-Dependent Green Functions/ 11. Optical Absorption in Intense THz Fields/ 12. Transport in Mesoscopic Semiconductor Structures/ 13. Time-Dependent Phenomena/ Part IV: Theory of Ultrafast Kinetics in Laser-Excited Semiconductors: 14. Optical Free-Carrier Interband Kinetics in Semiconductors/ 15. Interband Quantum Kinetics with LO-Phonon Scattering/ 16. Two-Pulse Spectroscopy/ 17. Coulomb Quantum Kinetics in a Dense Electron Hole Plasma/ 18. The Buildup of Screening/ 19. Femtosecond Four-Wave Mixing with Dense Plasmas/ References/ Index/
* Nanoscale miniaturization and femtosecond laser-pulse spectroscopy require a quantum mechanical description of the carrier kinetics that goes beyond the conventional Boltzmann theory. On these extremely short length and time scales the electrons behave like partially coherent waves. This monograph deals with quantum kinetics for transport in low-dimensional microstructures and for ultra-short laser pulse spectroscopy. The nonequilibrium Green function theory is described and used for the derivation of the quantum kinetic equations. Numerical methods for the solution of the retarded quantum kinetic equations are discussed and results are presented for high-field transport and for mesoscopic transport phenomena. Quantum beats, polarization decay, and non-Markovian behaviour are treated for femtosecond spectroscopy on a microscopic basis. *
Oystaeyen, F. V.
Virtual Topology and Functor Geometry
CRC Press 2007.11
168 pp.(P)
ISBN 1-4200-6056-2
13,200円
Contents
Part.1:A Taste of Category Theory: 1.Basic Notions/ 2.Grothendieck Categories/ 3.Separable Functors/ Part.2:Noncommtative Spaces: 4.Small Categories, Posets, and Noncommutative Topologies/ 5.The Topology of Virtual Opens and Its Commutative Shadow/ 6.Points and the Point Spectrum: Points in a Pointless World/ 7.Presheaves and Sheaves over Noncommutative Topologies/ 8.Noncommutative Grothendieck Topologies/ 9.The Fundamental Examples I: Torsion Theories/ 10.The Fundamental Examples II: L(H)/ 11.Ore Sets in Schematic Algebras/ Part.3:Grothendieck Categorical Reoresentations: 12.Spectral Representations/ 13.Affine Elements/ 14.Quotient Representations/ 15.Noncommutative Projective Space/ part.4:Sheaves and Dynamical Topology: 16.Introducing Structure Sheaves/ 17.Dynamical Presheaves and Temporal Points/ 18.The Spaced-Time Model/ Bibliography/ Index/
* Intrinsically noncommutative spaces today are considered from the perspective of several branches of modern physics, including quantum gravity, string theory, and statistical physics. From this point of view, it is ideal to devise a concept of space and its geometry that is fundamentally noncommutative. Providing a clear introduction to noncommutative topology, Virtual Topology and Functor Geometry explores new aspects of these areas as well as more established facets of noncommutative algebra. *
Michele , C.
Topics and Methods in Condensed Matter Theory
From Basic Quantum Mechanics to the Frontiers of Research
Springer-Verlag 2007.
443 pp.(H)
ISBN 3-540-70726-3
13,000円
Contents
Part I. I-Introductory Many-Body Physics: 1. Basic Many-Body Quantum Mechanics/ 2. Adiabatic Switching and Time-Ordered series/ 3. Atomic Shells and Multiplets/ 4. Green’s Functions as Thought Experiments/ 5. Hopping Electron Models: an Appetizer/ 6. Many-body Effects in Electron Spectroscopies/ Problems/ Part II. Symmetry in Quantum Physics: 7. Group Representations for Physicists/ 8. Simpler Uses of Group Theorys/ 9. Product of Representations and Further Physical Applications/ Problems/ Part III. More on Green Function Techniques: 10. Equations of Motion and Further Developments/ 11. Feynman Diagrams for Condensed Matter Physics/ 12. Many-Body Effects and Further Theorys/ 13. Non-Equilibrium Theory/ Problems/ Part IV. Non-Perturbative Approaches and Applications: 14. Some Recursion Techniques with Applications/ 15. Aspects of Nonlinear Optics and Many-Photon Effects/ Problems/ Part V. Selected Exact Results in Many-Body Problems: 16. Quantum Phases/ 17. Pairing from repulsive interactions/ 18. Algebraic Methods/ Problems/ Part VI. Appendices: 19. Appendix 1: Zero-point Energy in a Pillbox/ 20. Appendix II-Character Tables/ 21. Proof of the Wigner-Eckart Theorem/ Solutions/ References/ Index/
* This book provides material for courses in theoretical physics for undergraduate and graduate students specializing in condensed matter, including experimentalists who want a thorough theoretical background; the advanced part should be of interest to research workers too. A good first course in quantum mechanics is assumed. Here a variety of many-body phenomena in condensed matter are discussed, with special attention paid to the understanding of strong correlation effects. *
Keller, A. et al. ed.
Monte Carlo and Quasi-Monte Carlo Methods 2006
Springer-Verlag 2008.
698 pp.(P)
ISBN 3-540-74495-9
18,600円
Contents
Part I: Invited Articles: 1.A Belgian View on Lattice Rules/ 2.MCQMC Algorithms for Solving some Classes of Equations/ 3.MCQMC Methods for Multivariate Statistical Distributions/ 4.Minimal Errors for Strong and Weak Approximation of Stochastic Differential Equations/ 5.Nets, (t, s)-Sequences, and Codes/ 6.Quadratic Optimal Functional Quantization of Stochastic Processes and Numerical Applications/ 7.Random Field Simulation and Applications/ 8.Monte Carlo and Quasi-Monte Carlo Methods for Computer Graphics/ Part II: Contributed Articles: 9.Random Walk Algorithm for Estimating the Derivatives of Solution to the Elliptic BVP/ 10.Free-Knot Spline Approximation of Fractional Brownian Motion/ 11.Simulation on Rank-1 Lattices/ 12.Image Synthesis by Rank-1 Lattices/ 13.Continuous Runge-Kutta Methods for Stratonovich Stochastic Differential Equations/ 14.Issues on Computer Search for Large Order Multiple Recursive Generators/ 15.Design and Implementation of Efficient and Portable Multiple Recursive Generators with Few Zero Coefficients/ 16.Approximation of Functions Using Digital Nets/ 17.Construction of Low-Discrepancy Point Sets of Small Size by Bracketing Covers and Dependent Randomized Rounding/ 18.A Coding Theoretic Approach to Building Nets with Well-Equidistributed Projections/ 19.Improvements on Low Discrepancy One-Dimensional Sequences and Two-Dimensional Point Sets/ 20.Improved Multilevel Monte Carlo Convergence using the Milstein Scheme/ 21.Generalized Tractability for Linear Functionals/ 22.An Improved Implementation of Stochastic Particle Methods and Applications to 23.Coagulation Equations/ (t, m, s)-Nets and Maximized Minimum Distance/ 24.Quasi-Monte Carlo Simulation of Discrete-Time Markov Chains on Multidimensional State Spaces/ 25.Computational Engine for a Virtual Tissue Simulator/ 26.Randomized Approximation of Sobolev Embeddings/ 27.Tractability of Linear Multivariate Problems in the Average Case Setting/ 28.Zinterhof Sequences in GRID-Based Numerical Integration/ 29.A Pragmatic View on Numerical Integration of Unbounded Functions/ 30.Assessment of Genetic Association using Haplotypes Inferred with Uncertainty via Markov Chain Monte Carlo/ 31.The Generalized Gibbs Sampler and the Neighborhood Sampler/ 32.The Weighted Dyadic Diaphony of Digital Sequences/ 33.A New Criterion for Finiteness of Weight Estimator Variance in Statistical Simulation/ 34.Optimal Pointwise Approximation of a Linear Stochastic Heat Equation with Additive Space-Time White Noise/ 35.Unbiased Global Illumination with Participating Media/ 36.SIMD-Oriented Fast Mersenne Twister: a 128-bit Pseudorandom Number Generator/ 37.A New Lower Bound on the t-Parameter of (t, s)-Sequences/ 38.Walk-on-Spheres Algorithm for Solving Boundary-Value Problems with Continuity Flux Conditions/ 39.Good Lattice Rules with a Composite Number of Points Based on the Product Weighted Star Discrepancy/ 40.Ergodic Simulations for Diffusion in Random Velocity Fields/ 41.Efficient Simultaneous Simulation of Markov Chains/ Part III: Appendix: 42.Conference Participants/ Author Index/
* This book represents the refereed proceedings of the Seventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, held in Ulm (Germany) in August 2006. The proceedings include carefully selected papers on many aspects of Monte Carlo and quasi-Monte Carlo methods and their applications, as well as providing information on current research in these very active areas. Besides covering theory, the book is an excellent resource work for practitioners as well. *
773-34 登録日 08.02.17
