內容簡介

THE previous edition of this volume was the last book on which I worked together with my teacher L. D. Landau. The revision and expansion that we then carried out was very considerable, and affected every chapter.
For the third edition, naturally, much less revision was needed. Nevertheless, a fair amount of new material has been added, including some more problems, and relating both to recent research and to earlier results that have now become of greater significance.
 

目錄

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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