非相对论量子力学

更新时间:2023-06-26 21:14

《非相对论量子力学》是1999年5月1日世界图书出版公司出版的图书。本书通过严谨的语言向人们介绍了非相对论量子力学理论的知识。

内容简介

THEpreviouseditionofthisvolumewasthelastbookonwhichIworkedtogetherwithmyteacherL.D.Landau.Therevisionandexpansionthatwethencarriedoutwasveryconsiderable,andaffectedeverychapter.Forthethirdedition,naturally,muchlessrevisionwasneeded.Nevertheless,afairamountofnewmaterialhasbeenadded,includingsomemoreproblems,andrelatingbothtorecentresearchandtoearlierresultsthathavenowbecomeofgreatersignificance. 此书为英文版。

目录

From the Preface to the first English edition

Preface to the second English edition

Preface to the third Russian edition

Editor's Pretace to the Iburth Russian edition

Notation

Ⅰ. THE BASIC CONCEPTS OF QUANTUM MECHANICS

1. The uncertainty principlc

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 mechanica

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 momcntum

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 indcpendent 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 as 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 barricr

51. Calculation of the quasi-classical matrix elements

52. The transition probability in the quasi-classical 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 QF PARTICLES

61. The principle of indistinguishability of similar particles

62. Exchangc interaction

……

Ⅹ THE ATOM

Ⅺ THE DIATOMIC MOLECULE

XII THE THEORY OF SYMMETRY

XIII POLYATOMIC MOLECULES

XV MOTION IN A MAGNETIC FIELD

XVI NUCLEAR STRUCTURE

XVII. ELASTIC COLLISIONS

XVIII INELASTIC COLLISIONS

MATHEMATICAL APPENDICES

Index

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