Quantum mechanics : non-relativistic theory / by L. D. Landau and E. M. Lifshitz ; translated from the Russian by J. B. Sykes and J. S. Bell.

Format:

Book

Author/Creator:

Landau, L. D. (Lev Davidovich), 1908-1968.

Lifshit︠s︡, E. M. (Evgeniĭ Mikhaĭlovich), author.

Series:

Landau, L. D. (Lev Davidovich), 1908-1968. English ; Teoreticheskai︠a︡ fizika (Izd. 3-e). v. 3.

Their Course of theoretical physics ; v. 3

Standardized Title:

Kvantovai͡a mekhanika. English

Language:

English

Russian

Subjects (All):

Quantum theory.

Physical Description:

xiv, 673 pages : illustrations ; 25 cm.

Edition:

Third edition, revised and enlarged.

Place of Publication:

Oxford ; New York : Pergamon Press, 1977.

Summary:

The complete Course of Theoretical Physics by Landau & Lifshitz, recognised as two of the world's outstanding physicists, is published in full by Butterworth-Heinemann. It comprises ten volumes, covering all branches of the subject

Contents:

1. The uncertainty principle 1

2. The principle of superposition 6

3. Operators 8

4. Addition and multiplication of operators 13

5. The continuous spectrum 15

6. The passage to the limiting case of classical mechanics 19

7. The wave function and measurements 21

II. Energy and Momentum

8. The Hamiltonian operator 25

9. The differentiation of operators with respect to time 26

10. Stationary states 27

11. Matrices 30

12. Transformation of matrices 35

13. The Heisenberg representation of operators 37

14. The density matrix 38

15. Momentum 41

16. Uncertainty relations 45

III. Schrodinger's Equation

18. The fundamental properties of Schrodinger's equation 53

19. The current density 55

20. The variational principle 58

21. General properties of motion in one dimension 60

22. The potential well 63

23. The linear oscillator 67

24. Motion in a homogeneous field 74

25. The transmission coefficient 76

IV. Angular Momentum

27. Eigenvalues of the angular momentum 86

28. Eigenfunctions of the angular momentum 89

29. Matrix elements of vectors 92

30. Parity of a state 96

31. Addition of angular momenta 99

V. Motion in a Centrally Symmetric Field

32. Motion in a centrally symmetric field 102

33. Spherical waves 105

34. Resolution of a plane wave 112

35. Fall of a particle to the centre 114

36. Motion in a Coulomb field (spherical polar coordinates) 117

37. Motion in a Coulomb field (parabolic coordinates) 129

VI. Perturbation Theory

38. Perturbations independent of time 133

39. The secular equation 138

40. Perturbations depending on time 142

41. Transitions under a perturbation acting for a finite time 146

42. Transitions under the action of a periodic perturbation 151

43. Transitions in the continuous spectrum 154

44. The uncertainty relation for energy 157

45. Potential energy as a perturbation 159

VII. The Quasi-Classical Case

46. The wave function in the quasi-classical case 164

47. Boundary conditions in the quasi-classical case 167

48. Bohr and Sommerfeld's quantization rule 170

49. Quasi-classical motion in a centrally symmetric field 175

50. Penetration through a potential barrier 179

51. Calculation of the quasi-classical matrix elements 185

52. The transition probability in the quasi-classical case 191

53. Transitions under the action of adiabatic perturbations 195

VIII. Spin

55. The spin operator 203

56. Spinors 206

57. The wave functions of particles with arbitrary spin 210

58. The operator of finite rotations 215

59. Partial polarization of particles 221

60. Time reversal and Kramers' theorem 223

IX. Identity of Particles

61. The principle of indistinguishability of similar particles 227

62. Exchange interaction 230

63. Symmetry with respect to interchange 234

64. Second quantization. The case of Bose statistics 241

65. Second quantization. The case of Fermi statistics 247

X. The Atom

66. Atomic energy levels 251

67. Electron states in the atom 252

68. Hydrogen-like energy levels 256

69. The self-consistent field 257

70. The Thomas-Fermi equation 261

71. Wave functions of the outer electrons near the nucleus 266

72. Fine structure of atomic levels 267

73. The Mendeleev periodic system 271

74. X-ray terms 279

75. Multipole moments 281

76. An atom in an electric field 284

77. A hydrogen atom in an electric field 289

XI. The Diatomic Molecule

78. Electron terms in the diatomic molecule 300

79. The intersection of electron terms 302

80. The relation between molecular and atomic terms 305

81. Valency 309

82. Vibrational and rotational structures of singlet terms in the diatomic molecule 316

83. Multiplet terms. Case a 321

84. Multiplet terms. Case b 325

85. Multiplet terms. Cases c and d 329

86. Symmetry of molecular terms 331

87. Matrix elements for the diatomic molecule 334

88. A-doubling 338

89. The interaction of atoms at large distances 341

90. Pre-dissociation 344

XII. The Theory of Symmetry

91. Symmetry transformations 356

92. Transformation groups 359

93. Point groups 362

94. Representations of groups 370

95. Irreducible representations of point groups 378

96. Irreducible representations and the classification of terms 382

97. Selection rules for matrix elements 385

98. Continuous groups 389

99. Two-valued representations of finite point groups 393

XIII. Polyatomic Molecules

100. The classification of molecular vibrations 398

101. Vibrational energy levels 405

102. Stability of symmetrical configurations of the molecule 407

103. Quantization of the rotation of a top 412

104. The interaction between the vibrations and the rotation of the molecule 421

105. The classification of molecular terms 425

XIV. Addition of Angular Momenta

106. 3j-symbols 433

107. Matrix elements of tensors 441

108. 6j-symbols 444

109. Matrix elements for addition of angular momenta 450

110. Matrix elements for axially symmetric systems 452

XV. Motion in a Magnetic Field

111. Schrodinger's equation in a magnetic field 455

112. Motion in a uniform magnetic field 458

113. An atom in a magnetic field 463

114. Spin in a variable magnetic field 470

115. The current density in a magnetic field 472

XVI. Nuclear Structure

116. Isotopic invariance 474

117. Nuclear forces 478

118. The shell model 482

119. Non-spherical nuclei 491

120. Isotopic shift 496

121. Hyperfine structure of atomic levels 498

122. Hyperfine structure of molecular levels 501

XVII. Elastic Collisions

123. The general theory of scattering 504

124. An investigation of the general formula 508

125. The unitarity condition for scattering 511

126. Born's formula 515

127. The quasi-classical case 521

128. Analytical properties of the scattering amplitude 526

129. The dispersion relation 532

130. The scattering amplitude in the momentum representation 535

131. Scattering at high energies 538

132. The scattering of slow particles 545

133. Resonance scattering at low energies 552

134. Resonance at a quasi-discrete level 559

135. Rutherford's formula 564

136. The system of wave functions of the continuous spectrum 567

137. Collisions of like particles 571

138. Resonance scattering of charged particles 574

139. Elastic collisions between fast electrons and atoms 579

140. Scattering with spin-orbit interaction 583

141. Regge poles 589

XVIII. Inelastic Collisions

142. Elastic scattering in the presence of inelastic processes 595

143. Inelastic scattering of slow particles 601

144. The scattering matrix in the presence of reactions 603

145. Breit and Wigner's formulae 607

146. Interaction in the final state in reactions 615

147. Behaviour of cross-sections near the reaction threshold 618

148. Inelastic collisions between fast electrons and atoms 624

149. The effective retardation 633

150. Inelastic collisions between heavy particles and atoms 637

151. Scattering of neutrons 640

152. Inelastic scattering at high energies 644

Mathematical Appendices

a. Hermite polynomials 651

b. The Airy function 654

c. Legendre polynomials 656

d. The confluent hypergeometric function 659

e. The hypergeometric function 663

f. The calculation of integrals containing confluent hypergeometric functions 666.

Notes:

Translation of Kvantovai͡a mekhanika.

Includes bibliographical references and index.

ISBN:

0080209408

0080291406

OCLC:

2284121