高等量子力學

《高等量子力學(第4版)》討論了非相對論多粒子系統、相對論波方程和相對論量子場論。它的*特點是數學知識背景討論曲面、大量的應用案例和練習，幫助讀者全面瞭解這個科目。《高等量子力學(第4版)》的內容為更深層次學習固態物理學、核物理和基本粒子物理學奠定了基礎。《高等量子力學(第4版)》擴展和彌補了作者的《量子力學入門》，那本《量子力學入門》包括了非相對論量子力學，簡短介紹了非相對論放射場量子化。在這第四版中增加了不少新的材料並在內容上做了不少更新，在圖表的陳列上也達到了格式統一，使得在理解上更加容易。目次：（部分）非相對論多粒子系統：二次量子化；1/2旋轉費米子；波色子；相關函數，散射和響應；（第二部分）相對論波方程：相對論波方程及其衍生；lorentz變換和dirac方程協方差；軌道角動量和旋轉；colomb勢能；foldy-wouthuysen變換和相對論修正；dirac方程解的物理解釋；dirac方程的對稱和更多性質；（第三部分）相對場：相對場的量子化；自由場；放射場的量子化；相互場，量子電動力學。

讀者對象：物理專業的高年級研究生和更高層的科研人員。

《高等量子力學(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