高等量子力学

《高等量子力学(第4版)(英文影印版)》

part i. nonrelativistic many-particle systems

1. second quantization

1.1 identical particles, many-particle states, and permutationsymmetry

1.2 completely symmetric and antisymmetric states

1.3 bosons

1.4 fermions

1.5 field operators

1.6 momentum representation problems

2. spin-1/2 fermions

2.1 noninteracting fermions

2.2 ground state energy and elementary theory of the electrongas

2.3 hartree-fock equations for atoms problems

3. bosons

3.1 free bosons

3.2 weakly interacting, dilute bose gas

problems

4. correlation functions, scattering, and response

4.1 scattering and response

4.2 density matrix, correlation functions

.4.3 dynamicalsusceptibility

4.4 dispersion relations

4.5 spectral representation

4.6 fluctuation-dissipation theorem

4.7 examples of applications

4.8 symmetry properties

4.9 sum rules

problems

bibliography for part i

part ii. relativistic wave equations

5. relativistic wave equations and their derivation

5.1 introduction

5.2 the klein-gordon equation

5.3 dirac equation

problems

6. lorentz transformations and covariance of the diracequation

6.1 lorentz transformations

6.2 lorentz covariance of the dirac equation

6.3 solutions of the dirac equation for free particles

problems

7. orbital angular momentum and spin

7.1 passive and active transformations

7.2 rotations and angular momentum

problems

8. the coulomb potential

8.1 klein-gordon equation with electromagnetic field

8.2 dirac equation for the coulomb potential

problems

9. the foldy-wouthuysen transformation and relativisticcorrections

9.1 the foldy-wouthuysen transformation

9.2 relativistic corrections and the lamb shift

problems

10. physical interpretation of the solutions to the diracequation

10.1 wave packets and "zitterbewegung"

10.2 the hole theory

problems

11. symmetries and further properties of the dirac equation

11.1 active and passive transformations, transformations ofvectors

11.2 invariance and conservation laws

11.3 charge conjugation

11.4 time reversal (motion reversal)

11.5 helicity

11.6 zero-mass fermions (neutrinos)

problems

bibliography for part ii

part iii. relativistic fields

12. quantization of relativistic fields

12.1 coupled oscillators, the linear chain, latticevibrations

12.2 classical field theory

12.3 canonical quantization

12.4 symmetries and conservation laws, noether's theorem

problems

13. free fields

13.1 the real klein-gordon field

13.2 the complex klein-gordon field

13.3 quantization of the dirac field

13.4 the spin statistics theorem

problems

14. quantization of the radiation field

14.1 classical electrodynamics

14.2 the coulomb gauge

14.3 the lagrangian density for the electromagnetic field

14.4 the free electromagnatic field and its quantization

14.5 calculation of the photon propagator

problems

15. interacting fields, quantum electrodynamics

15.1 lagrangians, interacting fields

15.2 the interaction representation, perturbation theory

15.3 the s matrix

15.4 wick's theorem

15.5 simple scattering processes, feynman diagrams

15.6 radiative corrections

problems

bibliography for part iii

appendix

a alternative derivation of the dirac. equation

b dirac matrices

c projection operators for the spin

d the path-integral representation of quantum mechanics

e covariant quantization of the electromagnetic field, thegupta-bleuler method

f coupling of charged scalar mesons to the electromagneticfield

index

　　《高等量子力学(第4版)》讨论了非相对论多粒子系统、相对论波方程和相对论量子场论。它的最大特点是数学知识背景讨论曲面、大量的应用案例和练习，帮助读者全面了解这个科目。《高等量子力学(第4版)》的内容为更深层次学习固态物理学、核物理和基本粒子物理学奠定了基础。《高等量子力学(第4版)》扩展和弥补了作者的《量子力学入门》，那本《量子力学入门》包括了非相对论量子力学，简短介绍了非相对论放射场量子化。在这第四版中增加了不少新的材料并在内容上做了不少更新，在图表的陈列上也达到了格式统一，使得在理解上更加容易。目次：（第一部分）非相对论多粒子系统：二次量子化；1/2旋转费米子；波色子；相关函数，散射和响应；（第二部分）相对论波方程：相对论波方程及其衍生；lorentz变换和dirac方程协方差；轨道角动量和旋转；colomb势能；foldy-wouthuysen变换和相对论修正；dirac方程解的物理解释；dirac方程的对称和更多性质；（第三部分）相对场：相对场的量子化；自由场；放射场的量子化；相互场，量子电动力学。　　读者对象：物理专业的高年级研究生和更高层的科研人员。