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《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 permutation
symmetry
1.2 completely symmetric and antisymmetric states
1.3 bosons
1.4 fermions
1.5 field operators
1.6 momentum representation problems
2. spin-12 fermions
2.1 noninteracting fermions
2.2 ground state energy and elementary theory of the electron
gas
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 dynamical
susceptibility
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 dirac
equation
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 relativistic
corrections
9.1 the foldy-wouthuysen transformation
9.2 relativistic corrections and the lamb shift
problems
10. physical interpretation of the solutions to the dirac
equation
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 of
vectors
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, lattice
vibrations
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, the
gupta-bleuler method
f coupling of charged scalar mesons to the electromagnetic
field
index
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