量子物理的非常规方法

  • 作者:卡扎科夫
  • 责编:张永芹
  • ISBN:978-7-5603-5765-2
  • 出版日期:2016-1-1
  • 所属丛书:
  • 定价:118.00
  • 开本:16
  • 页数:204
  • 图书分类:Q.数学类
  • 中图分类:O数理科学和化学
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【目  录】

1 Ideas and principles //1

Quantum world //1

Probability waves //3

Physica1 operators //6

Noncommutative physics //10

Moment of momentum //14

Perturbation theory //19

Factorization //21

Oscillator //23

Quantum numbers //27

2 Physics of the electron //31

Hydrogen atom //31

Bohr's formula //33

Matrix elements //37

Dirac's equation //38

Relativistic invariance //43

Spin one-half //46

Pauli's theory //52

Elementary consequences //57

Useful definitions //61

Positrons //63

Fine structure //64

Solution according to factorization //68

Magnetic interaction //71

Landau levels //74

Anharmonicity //76

3 Theory of anharmonicity //79

Model Hamiltonian //79

Perturbation method //82

Inclusion of degenerate levels //86

Polynomial formalism //89

Ensemble of anharmonic oscillators //94

General equations //97

Physical interpretation //99

Rules for polynomials //101

Quantum functions //104

Other anharmonic models //106

Morse potential //107

Generalized Morse problem //110

4 Quantum fields //115

Creation and destruction operators //115

Free scalar field //120

Quantization of electromagnetic field //126

Fermi's ideology //128

Electron- positron Dirac field //133

Interaction picture //138

Solution according to perturbation theory //144

Normal product //147

Ultraviolet divergences //152

Regularization of interaction energy //152

5 Radiative corrections //159

Renormalization of mass //159

Anomalous magnetic moment of the electron //165

On the history of radiative corrections //172

Bethe's formula //173

Electromagnetic shift of atomic levels //177

Vacuum polarization //185

Renormalization of charge //192

Dirac's ideas and quantum field theory //193

Bibliography //197