《相对论量子力学》是2014年世界图书出版公司出版的图书，作者是斯诸哲。

• 书名 相对论量子力学
• 作者 斯诸哲 (Strange.P.)
• 出版社 世界图书出版公司
• 出版时间 2014年8月13日
• 页数 594 页

内容简介

　　《相对论量子力学》是一部介绍相对论量子理论的研究生教程，重在强调其在凝聚态物理中的重要应用。基本理论包括:狭义相对论，角动量和零自旋粒子;文章讨论了Dirac 方程，对称和算子以及自由粒子，黑洞和Klein矛盾也被提及，并且解决了一些模型问题;紧接着主要量子理论在凝聚态物质中的应用，单电子原子爆炸的相对理论，并将该理论发展来描述多粒子系统的量子力学，包括Hartree-Fock和密度函数法。散射理论，带结构，磁光效应和超导。书中配有不少练习题。

目录

　　Preface

　　1 The Theory of Special Relativity

　　1.1 The Lorentz Transformations

　　1.2 Relativistic Velocities

　　1.3 Mass, Momentum and Energy

　　1.4 Four-Vectors

　　1.5 Relativity and Electromagnetism

　　1.6 The Compton Effect

　　1.7 Problems

　　2 Aspects of Angular Momentum

　　2.1 Various Angular Momenta

　　2.2 Angular Momentum and Rotations

　　2.3 Operators and Eigenvectors for Spin 1/2

　　2.4 Operators for Higher Spins

　　2.5 Orbital Magnetic Moments

　　2.6 Spin Without Relativity

　　2.7 Thomas Precession

　　2.8 The Pauli Equation in a Central Potential

　　2.9 Dirac Notation

　　2.10 Clebsch-Gordan and Racah Coefficients

　　2.11 Relativistic Quantum Numbers and Spin-Angular Functions

　　2.12 Energy Levels of the One-Electron Atom

　　2.13 Plane Wave Expansions

　　2.14 Problems

　　3 Particles of Spin Zero

　　3.1 The Klein-Gordon Equation

　　3.2 Relativistic Wavefunctions, Probabilities and Currents

　　3.3 The Fine Structure Constant

　　3.4 The Two-Component Klein-Gordon Equation

　　3.5 Free Klein-Gordon Particles/Antiparticles

　　3.6 The Klein Paradox

　　3.7 The Radial Klein-Gordon Equation

　　3.8 The Spinless Electron Atom

　　3.9 Problems

　　4 The Dirac Equation

　　4.1 The Origin of the Dirac Equation

　　4.2 The Dirac Matrices

　　4.3 Lorentz Invariance of the Dirac Equation

　　4.4 The Non-Relativistic Limit of the Dirac Equation

　　4.5 An Alternative Formulation of the Dirac Equation

　　4.6 Probabilities and Currents

　　4.7 Gordon Decomposition

　　4.8 Forces and Fields

　　4.9 Gauge Invariance and the Dirac Equation

　　4.10 Problems

　　5 Free PaNicles/Antiparticles

　　5.1 Wavefunctions, Densities and Currents

　　5.2 Free-Particle Solutions

　　5.3 Free-Particle Spin

　　Rotations and Spinors

　　A Generalized Spin Operator

　　5.4 Negative Energy States, Antiparticles

　　5.5 Classical Negative Energy Particles?

　　5.6 The Klein Paradox Revisited

　　5.7 Lorentz Transformation of the Free-Particle Wavefunction

　　5.8 Problems

　　6 Symmetries and Operators

　　6.1 Non-Relativistic Spin Projection Operators

　　6.2 Relativistic Energy and Spin Projection Operators

　　6.3 Charge Conjugation

　　6.4 "lime-Reversal Invariance

　　6.5 Parity

　　6.6

　　6.7 Angular Momentum Again

　　6.8 Non-Relativistic Limits Again

　　6.9 Second Quantization

　　6.10 Field Operators

　　6.11 Second Quantization in Relativistic Quantum Mechanics

　　6.12 Problems

　　7 Separating Particles from Antiparticles

　　7.1 The Foldy-Wouthuysen Transformation for a Free Particle

　　7.2 Foldy-Wouthuysen Transformation of Operators

　　7.3 Zitterbewegung

　　7.4 Foldy-Wouthuysen Transformation of the Wavefunction

　　7.5 The F-W Transformation in an Electromagnetic Field

　　7.6 Problems

　　8 One-Electron Atoms

　　8.1 The Radial Dirac Equation

　　8.2 Free-Electron Solutions

　　8.3 One-Electron Atoms, Eigenvectors and Eigenvalues

　　8.4 Behaviour of the Radial Functions

　　8.5 The Zeeman Effect

　　8.6 Magnetic Dichroism

　　8.7 Problems

　　9 Potential Problems

　　9.1 A Particle in a One-Dimensional Well

　　9.2 The Dirac Oscillator

　　The Non-Relativistic Limit

　　Solution of the Dirac Oscillator

　　Expectation Values and the Uncertainty Principle

　　9.3 Bloch's Theorem

　　9.4 The Relativistic Kronig-Penney Model

　　A One-Dimensional Time-Independent Dirac Equation

　　A Potential Step

　　A One-Dimensional Solid

　　9.5 An Electron in Crossed Electric and Magnetic Fields

　　An Electron in a Constant Magnetic Field

　　An Electron in a Field for which

　　9.6 Non-Linear Dirac Equations, the Dirac Soliton

　　9.7 Problems

　　10 More Than One Electron

　　10.1 The Breit Interaction

　　10.2 Two Electrons

　　10.3 Many-Electron Wavefunctions

　　10.4 The Many-Electron Hamiltonian

　　10.5 Dirac-Hartree-Fock Integrals

　　Single-Particle Integrals

　　Two-Particle Integrals

　　The Direct Coulomb Integral

　　The Exchange Integral

　　10.6 The Dirac-Hartree-Fock Equations

　　The One-Electron Atom

　　The Many-Electron Atom

　　10.7 Koopmans' Theorem

　　10.8 Implementation of the Dirac-Hartree-Fock Method

　　10.9 Introduction to Density Functional Theory

　　10.10 Non-Relativistic Density Functional Theory

　　10.11 The Variational Principle and the Kohn-Sham Equation

　　10.12 Density Functional Theory and Magnetism

　　Density Functional Theory in a Weak Magnetic Field

　　Density Functional Theory in a Strong Magnetic Field

　　10.13 The Exchange-Correlation Energy

　　10.14 Relativistic Density Functional Theory (RDFT)

　　RDFT with an External Scalar Potential

　　RDFT with an External Vector Potential

　　The Dirac-Kohn-Sham Equation

　　10.15 An Approximate Relativistic Density Functional Theory

　　10.16 Further Development of RDFT

　　10.17 Relativistic Exchange-Correlation Functionals

　　10.18 Implementation of RDFT

　　11 Scattering Theory

　　11.1 Green's Functions

　　11.2 Time-Dependent Green's Functions

　　11.3 The T-Operator

　　11.4 The Relativistic Free-Particle Green's Function

　　11.5 The Scattered Particle Wavefunction

　　11.6 The Scattering Experiment

　　11.7 Single-Site Scattering in Zero Field

　　11.8 Radial Dirac Equation in a Magnetic Field

　　11.9 Single-Site Scattering in a Magnetic Field

　　11.10 The Single-Site Scattering Green's Function

　　11.11 Transforming Between Representations

　　11.12 The Scattering Path Operator

　　11.13 The Non-Relativistic Free Particle Green's Function

　　11.14 Multiple Scattering Theory

　　11.15 The Multiple Scattering Green's Function

　　11.16 The Average T-Matrix Approximation

　　11.17 The Calculation of Observables

　　The Band Structure

　　The Fermi Surface

　　The Density of States

　　The Charge Density

　　Magnetic Moments

　　Energetic Quantities

　　11.18 Magnetic Anisotropy

　　The Non-Relativistic Limit, the RKKY Interaction

　　The Orion of Anisotropy

　　12 Electrons and Photons

　　12.1 Photon Polarization and Angular Momentum

　　12.2 Quantizing the Electromagnetic Field

　　12.3 Time-Dependent Perturbation Theory

　　12.4 Photon Absorption and Emission in Condensed Matter

　　12.5 Magneto-Optical Effects

　　12.6 Photon Scattering Theory

　　12.7 Thomson Scattering

　　12.8 Rayleigh Scattering

　　12.9 Compton Scattering

　　12.10 Magnetic Scattering of X-Rays

　　12.11 Resonant Scattering of X-Rays

　　13 Superconductivity

　　13.1 Do Electrons Find Each Other Attractive?

　　13.2 Superconductivity, the Hamiltonian

　　13.3 The Dirac--Bogolubov-de Gennes Equation

　　13.4 Solution of the Dirac-Bogolubov-de Gennes Equations

　　13.5 Observable Properties of Superconductors

　　13.6 Elcctrodynamics of Superconductors

　　Appendix A The Uncertainty Principle

　　Appendix B The Confluent Hypergeometrie Function

　　B.1 Relations to Other Functions

　　Appendix C Spherical Harmonics

　　Appendix D Unit Systems

　　Appendix E Fundamental Constants

　　References

　　Index