1.

Record Nr.

UNINA9910809079903321

Autore

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

Titolo

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

Pubbl/distr/stampa

Oxford ; ; New York : , : Pergamon Press, , 1977

ISBN

1-4831-4912-9

Edizione

[3rd ed.]

Descrizione fisica

1 online resource (1718 p.)

Collana

Their Course of theoretical physics ; ; volume 3

Disciplina

530.1/2

Soggetti

Nonrelativistic quantum mechanics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Translation of Kvantovai͡a mekhanika.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Cover image; Title page; Table of Contents; Other Titles in the Course of Theoretical Physics; Copyright; FROM THE PREFACE TO THE FIRST ENGLISH EDITION; PREFACE TO THE SECOND ENGLISH EDITION; PREFACE TO THE THIRD RUSSIAN EDITION; NOTATION; Chapter 1: THE BASIC CONCEPTS OF QUANTUM MECHANICS; Publisher Summary; 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; Chapter 2: ENERGY AND MOMENTUM

Publisher Summary8. 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; Chapter 3: SCHRÖDINGER'S EQUATION; Publisher Summary; 17. Schrödinger's equation; 18. The fundamental properties of Schrödinger'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 field25. The transmission coefficient; Chapter 4: ANGULAR MOMENTUM; Publisher Summary; 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; Chapter



5: MOTION IN A CENTRALLY SYMMETRIC FIELD; Publisher Summary; 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)Chapter 6: PERTURBATION THEORY; Publisher Summary; 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 as a perturbation; Chapter 7: THE QUASI-CLASSICAL CASE; Publisher Summary; 46. The wave function in the quasi-classical case

47. Boundary conditions in the quasi-classical case48. 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-classical case; 53. Transitions under the action of adiabatic perturbations; Chapter 8: SPIN; Publisher Summary; 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

Sommario/riassunto

Quantum Mechanics