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*力学 第3版--理论物理学教程 第1卷（英文影印版） |
| from the preface to the first english edition . preface to the second english edition preface to the third russian edition editor's preface to the fourth russian edition notation i. the basic concepts of quantum mechanics 1. the uncertainty principle 2. the principle of superposition 3. operators 4. addition and multiplication of operators 5. the continuous spectrum 6. the passage to the limiting case of classical mechanics 7. the wave function and measurements ii. energy and momentum 8. the hamiltonian operator 9. the differentiation of operators with respect to time 10. stationary states 11. matrices 12. transformation of matrices 13. the heisenberg representation of operators .14. the density matrix 15. momentum 16. uncertainty relations iii. schrodinger's equation 17. schrodinger's equation 18. the fundamental properties of schrodinger's equation 19. the current density 20. the variational principle 21. general properties of motion in one dimension 22. the potential well 23. the linear oscillator 24. motion in a homogeneous field 25. the transmission coefficient iv. angular momentum 26. angular momentum 27. eigenvalues of the angular momentum 28. eigenfunctions of the angular momentum 29. matrix elements of vectors 30. parity of a state 31. addition of angular momenta v. motion in a centrally symmetric field 32. motion in a centrally symmetric field 33. spherical waves 34. resolution of a plane wave 35. fall of a particle to the centre 36. motion in a coulomb field (spherical polar coordinates) 37. motion in a coulomb field (parabolic coordinates) vi. perturbation theory 38. perturbations independent of time 39. the secular equation 40. perturbations depending on time 41. transitions under a perturbation acting for a finite time 42. transitions under the action of a periodic perturbation 43. transitions in the continuous spectrum 44. the uncertainty relation for energy 45. potential energy ss a perturbation vii. the quasi-classical case 46. the wave function in the quasi:classical case 47. boundary conditions in the quasi-classical case 48. bohr and sommerfeld's quantization rule 49. quasi-classical motion in a centrally symmetric field 50. penetration through a potential barrier 51. calculation of the quasi-classical matrix elements 52. the transition probability in the quasi-dsssical case 53. transitions under the action of adiabatic perturbations viii. spin 54. spin 55. the spin operator 56. spinors 57. the wave functions of particles with arbitrary spin 58. the operator of finite rotations 59. partial polarization of particles 60. time reversal and kramers' theorem ix. identity of particles 61. the principle of indistinguishability of similar particles 62. exchange interaction 63. symmetry with respect to interchange 64. second quantization. the case of bose statistics 65. second quantization. the case of fermi statistics x. the atom 66. atomic energy levels 67. electron states in the atom 68. hydrogen-like energy levels 69. the self-consistent field 70. the thomas-fermi equation 71. wave functions of the outer electrons near the nucleus 72. fine structure of atomic levels 73. the mendeleev periodic system 74. x-ray terms 75. multipole moments 76. an atom in an electric field 77. a hydrogen atom in an electric field xi. the diatomic molecule 78. electron terms in the diatomic molecule 79. the intersection of electron terms 80. the relation between molecular and atomic terms .. 81. valency 82. vibrational and rotational structures of singlet terms in the diatomic molecule 83. multiplet terms. case a 84. multiplet terms. case b 85. muhiplet terms. cases c and d 86. symmetry of molecular terms 87. matrix elements for the diatomic molecule 88. a-doubling 89. the interaction of atoms at large distances 90. pre-dissociation xii. the theory of symmetry 91. symmetry transformations 92. transformation groups 93. point groups 94. representations of groups 95. irreducible representations on point groups 96. irreducible representations and the classification of terms 97. selection rules for matrix elements 98. continuous groups 99. two-valued representations of finite point groups xiii. polyatomic molecules 100. the classification of molecular vibrations 101. vibrational energy levels 102. stability of symmetrical configurations of the molecule 103. quantization of the rotation of a top 104. the interaction between the vibrations and the rotation of the molecule 105. the classification of molecular terms xiv. addition of angular momenta 106. 3j-symbols 107. matrix elements of tensors 108. 6j-symbols 109. matrix elements for addition of angular momenta 110. matrix elements for axially symmetric systems xv. motion in a magnetic field 111. schr6dinger's equation in a magnetic field 112. motion in a uniform magnetic field 113. an atom in a magnetic field 114. spin in a variable magnetic field 115. the current density in a magnetic field xvi. nuclear structure 116. isotopic invariance 117. nuclear forces 118. the shell model 119. non-spherical nuclei 120. isotopic shift 121. hyperfine structure of atomic levels 122. hyperfine structure of molecular levels xvii. elastic collisions 123. the general theory of scattering 124. an investigation of the general formula 125. the unitarity condition for scattering 126. born's formula 127. the quasi-classical case 128. analytical properties of the scattering amplitude 129. the dispersion relation 130. the scattering amplitude in the momentum representation 131. scattering at high energies 132. the scattering of slow particles 133. resonance scattering at low energies 134. resonance at a quasi-discrete level 135. rutherford's formula 136. the system of wave functions of the continuous spectrum 137. collisions of like particles 138. resonance scattering of charged particles 139. elastic collisions between fast electrons and atoms 140. scattering with spin-orbit interaction 141. regge poles xviii. inelastic collisions 142. elastic scattering in the presence of inelastic processes 143. inelastic scattering of slow particles 144. the scattering matrix in the presence of reactions 145. breit and wigner's formulae 146. interaction in the final state in reactions 147. behaviour of cross-sections near the reaction threshold 148. inelastic collisions between fast electrons and atoms 149. the effective retardation 150. inelastic collisions between heavy particles and atoms 151. scattering of neutrons 152. inelastic scattering at high energies mathematical appendices a. hermite polynomials b. the airy function c. legendre polynomials d. the confluent hypergeometric function e. the hypergeometric function f. the calculation of integrals containing confluent hypergeometric functions index ... |
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