《QUANTUM MECHANICS OF ONE-AND TWO-ELECTRON ATOMS WITH 41 FIGURES》求取 ⇩

Introduction．Units．2

Ⅰ．THE HYDROGEN ATOM WITHOUT EXTERNAL FIELDS4

a)Nonrelativistic theory4

1．Separation of SCHRODINGER＇S equation in spherical polar coordinates．Angularly dependent eigenfunctions and the angular momentum matrix4

2．Derivation of BALMER＇S formula8

3．The radial eigenfunctions of the discrete spectrum12

4．The eigenfunctions of the continuous spectrum21

5．Motion of the nucleus25

6．Separation of SCHRODINGER＇S equation in parabolic coordinates27

7．Methods for the continuous spectrum for a general central potential32

8．Wave functions in momentum space．Discrete spectrum36

9．Wave functions in momentum space．Continuous spectrum40

b)DIRAc theory47

10．General properties of the DIRAC theory47

11．Angular momentum51

12．PAULI theory of the spin-electron54

13．PAULI theory for a central potential54

14．The exact solution of the DIRAC equation63

15．DIRAC equation．Continuous spectrum71

16．The DIRAC equation in momentum space78

17．The fine structure formula83

c)Radiative and other corrections89

18．Radiative corrections．S-matrix theory89

19．Radiative corrections．Bound states94

20．Corrections for nuclear motion and structure100

21．Fine structure and the LAMB shift103

22．Hyperfine structure splitting107

23．The fine structure of positronium114

Ⅱ．THE HELIUM ATOM WITHOUT EXTERNAL FIELDS118

a)Nonrelativistic theory118

24．The SCHRODINGER equation for helium(symmetry)118

25．Discussion of variation and perturbation methods121

26．Level scheme of helium124

27．Survey of approximations to be used127

28．First order HEISENBERG＇S method(excited states)131

29．Polarization for excited states137

30．FOCK＇S method(excited S-states)140

31．HARTREE＇S method143

32．RITZ variation method(helium ground state)146

33．Ground state of helium-like ions with arbitrary Z151

34．The negative hydrogen ion154

35．Variation method for excited states157

36．Miscellaneous calculations160

37．Motion of the nucleus166

b)Relativistic theory170

38．Discussion of the BREIT equation170

39．The PAULI approximation(low Z)178

40．Fine structure splitting of helium183

41．Relativistic corrections for the ground state189

42．BREIT equation without external field192

43．Treatment for large Z196

44．Hyperfine structure201

Ⅲ．ATOMS IN EXTERNAL FIELDS205

a)ZEEMAN effect205

45．ZEEMAN effect for a single-electron atom205

46．Dependence on magnetic field strength208

47．Some corrections to the ZEEMAN effect213

48．Extension to many-electron atoms218

49．Comparison with precision experiments222

50．The diamagnetism of helium227

b)STARK effect in hydrogen228

51．Linear STARK effect228

52．The quadratic STARK effect232

53．STARK effect for strong fields234

54．Ionization by the electric field．Quenching of the lines in the STARK effect235

55．STARK effect of the fine structure of hydrogen238

c)STARK effect in helium241

56．The STARK effect for weak fields241

57．Dependence on field strength244

58．The dielectric constant of helium246

Ⅳ．INTERACTION WITH RADIATION248

a)Discrete spectrum248

59．General formelas248

60．Selection rules for orbital and magnetic quantum numbers252

61．Sum rules255

62．Proof of the sum rules259

63．The transition Probabilities for hydrogen in polar coordinates262

64．Intensity of fine structure lines269

65．Intensities in parabolic coordinates(STARK effect)276

66．Higher multipole radiation278

67．Lifetimes of excited states in hydrogen284

68．Alkali and X-ray spectra292

b)The photoeffect295

69．General survey295

70．The BORK approximation299

71．The absorption coefficient without retardation303

72．Angular distribution and retardation308

73．Relativistic effects311

74．The optical region315

75．Recombination320

c)Bremsstrahlung323

76．General survey323

77．Nonrelativistic BORN approximation326

78．Calculations for low energies331

79．Relativistic effects336

Appendix on spherical harmonics344

Bibliography350

Addenda and errata351

Author index360

Subject index365

Index of Tables369