高等量子力學

《高等量子力學》是一本介紹高等量子力學和量子電動力學的經典之作。全書脈絡清晰，講解清楚，數學推導過程詳細。作者強調的是量子理論本身，對物理概念的剖析深刻且直觀，同時，非常注重介紹該領域的實驗結果，加深讀者對理論的理解。《高等量子力學》對協變微擾理論和費曼圖技巧給出了詳細的解釋。此外，作者能夠充分利用對稱性分析來討論狄拉克波函數和量子化的狄拉克場的變換特性。 ^[1] 

Chapter 1 Classical Fields

1-1 Particles and fields

1-2 Discrete and continuous mechanical systems

1-3 Classical scalar fields

1-4 Classical Maxwell fields

1-5 Vector potentials in quantum mechanics

Chapter 2 The Quantum Theory of Radiation

2-1 Classical radiation field

2-2 Creation, annihilation, and number operators

2-3 Quantized radiation field

2-4 Emission and absorption of photons by atoms

2-5 Rayleigh scattering, Thomson scattering, and the Raman effect .

2-6 Radiation damping and resonance fluorescence

2-7 Dispersion relations and causality

2-8 The self-energy of a bound electron; the Lamb shift

Chapter 3 Relativistic Quantum Mechanics of Spin-~ Particles

3-1 Probability conservation in relativistic quantum mechanics

3-2 The Dirac equation

3-3 Simple solutions; nonrelativistic approximations; plane waves

3-4 Relativistic covariance

3-5 Bilinear covariants

3-6 Dirac operators in the Heisenberg representation

3-7 Zitterbewegung and negative-energy solutions

3-8 Central force problems; the hydrogen atom

3-9 Hole theory and charge conjugation

3-10 Quantization of the Dirac field

3-11 Weak interactions and parity noncon~elvation; the two-component neutrino

Chapter 4 Covariant Perturbation Theory

4-1 Natural units and dimensions

4-2 S-matrix expansion in the interaction representation

4-3 First-order processes; Mott scattering and hyperon decay CONTENTS

4-4 Two-photon annihilation and Compton scattering; the electron propagator

4-5 Feynmans space-time approach to the electron propagator

4-6 M011er scattering and the photon propagator; one-meson exchange interactions

4-7 Mass and charge renormalization; radiative corrections

Appendix A Electrodynamics in the radiation (Coulomb) gauge

Appendix B Gamma matrices

Appendix C Paulis fundamental theorem

Appendix D Formulas and rules in covariant perturbation theory

Appendix E Feynman integrals; the computations of the self-energy and the anomalous magnetic moment of the electron

Bibliography

Index ^[1]