非相對論量子力學(xué)

內(nèi)容概要

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.

書籍目錄

From the Preface to the first English editionPreface to the second English editionPreface to the third Russian editionEditor's Pretace to the Iburth Russian editionNotationⅠ. 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 measurementsⅡ. 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 relationsⅢ. 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 coefficientⅣ. 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 momentaⅤ. 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 perturbationⅦ. 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 perturbationsⅧ 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' theoremⅨ. IDENTITY QF PARTICLES　61. The principle of indistinguishability of similar particles　62. Exchangc interaction　　……Ⅹ THE ATOMⅪ THE DIATOMIC MOLECULEXII THE THEORY OF SYMMETRYXIII POLYATOMIC MOLECULESXV MOTION IN A MAGNETIC FIELDXVI NUCLEAR STRUCTUREXVII. ELASTIC COLLISIONSXVIII INELASTIC COLLISIONSMATHEMATICAL APPENDICESIndex

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