Quantum Mechanics : Non-Relativistic Theory

• Record Nr.: UNINA9911006512703321
• Autore: Landau L D
• Pubbl/distr/stampa: Burlington, : Elsevier Science, 1981
• ISBN: 1-299-40297-6; 0-08-050348-9
• Edizione: [3rd ed.]
• Descrizione fisica: 1 online resource (694 p.)
• Altri autori (Persone): LifshitzE.M
• Disciplina: 530.1/2; 530.12; 551.312
• Soggetti: Nonrelativistic quantum mechanics; Physics; Physical Sciences & Mathematics; Atomic Physics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di contenuto: Front Cover; Quantum Mechanics: Non-Relativistic Theory; Copyright Page; Table of Contents; 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; CHAPTER 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; CHAPTER II. ENERGY AND MOMENTUM8. 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 III. SCHRODINGER'S EQUATION; 17. Schrodinger'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 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; CHAPTER 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)CHAPTER 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 as a perturbation; CHAPTER 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 rule49. 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 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; CHAPTER IX. IDENTITY OF PARTICLES
• Sommario/riassunto: This edition has been completely revised to include some 20% of new material. Important recent developments such as the theory of Regge poles are now included. Many problems with solutions have been added to those already contained in the book.