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Viser: Quantum Mechanics

Quantum Mechanics

Quantum Mechanics

H. A. Kramers og D. ter Haar
(2018)
Sprog: Engelsk
Dover Publications, Incorporated
296,00 kr.
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Detaljer om varen

  • Paperback: 512 sider
  • Udgiver: Dover Publications, Incorporated (Juni 2018)
  • Forfattere: H. A. Kramers og D. ter Haar
  • ISBN: 9780486824734
"Rates with Dirac's book as one of the best expositions of quantum theory available in the English language." -- American Scientist
"A fine translation of a remarkable book, which is recommended to every serious student of theoretical physics." -- F. J. Belinfante, Science
"Full and leisurely development ... detailed without being tedious ... This is a book that all who study quantum theory will want to read." -- J. Polkinghorne, Physics Today
"Throughout one is conscious of being under the guidance of someone who has thought very deeply and carefully about all the various aspects of quantum theory, and who is able to express his ideas in a most stimulating and lucid way." -- K. W. H. Stevens, Proceedings of the Physical Society
A masterful treatment of quantum theory, this classic work develops the subject's most important concepts from experimental evidence and from theory related to the wave nature of free particles. The first half shows how the classical mechanics of point particles can be generalized into a consistent quantum mechanics; the second part deals with extensions of quantum theory needed for problems of atomic and molecular structure. Suitable for advanced undergraduates and graduate students in physics as well as historians of modern science, this universally praised translation will be a valuable addition to any physical science library.
Preface Translator''s Preface Contents Glossary of Symbols
PART ONE: THE FOUNDATIONS OF QUANTUM THEORY Introduction I. Quantom theory of free particles
1. Mass points in classical physics
2. The de Broglie quantum postulate for free mass particles
3. Superposition of de Brogle waves
4. Properties of special wave-packets
5. The Heisenberg relations
6. The approximate validity of Newton''s first law
7. The quantitative formulation of probability laws
8. The Schrödinger wave equation
9. The quantum theory of free particles and the laws of conservation of momentum and energy II. Non-relativistic quantum theory of bound particles.
10. Bound particles in classical physics
11. The Schrödinger equation and its connexion with Hamilton equation
12. The motion of wave groups under the influence of external forces
13. The physical meaning of the wave function
14. Probability density and probability current density
15. The momentum probability distribution
16. The uncertainty relations; the uncertainty in energy
17. Energy eigenvalues and eigenfunctions
18. Stationary states
19. The superposition principle in quantum mechanics
20. The representation of an arbitrary physical situation as the superposition of stationary states
21. Degenerate stationary states; degree of degeneracy
22. Unnormalisable eigenfunctions of free particle
23. Improper stationary states in an external field of force
24. General discussion of eigenvalues and eigen functions
25. Charged particles in and electromagnetic field III. The non-relativistic treatment of the many-body problem
26. The two-body problem
27. The Schrödinger equation of many interacting particles
28. The interpretation of the wave function
29. Operators
30. The generalised Ehrenfest theorem
31. The conservation of momentum
32. Stationary states
33. The law of conservation of energy; casuality in quantum mechanics IV. Transformation Theory A. General theory
34. Coordinate transformations
35. The definability of mechanical quantities
36. Eigenvalues and eigenfunctions corresponding to and observable
37. Eigenvalues and eigenfunctions of finite Hermitean matrices
38. The eigenfunctions of commuting Hermitean operators
39. The distribution function of an observabâ?¤ probability amplitudes
40. Transformation of functions
41. Transformation of operators; matrix representation of an observable
42. The transformed Schrödinger equation
43. The time dependence of observables B. Examples
44. The probability distribution of coordinates and momenta; the probability current density
45. The eigenvalues and eigenfunctions of the angular momentum
46. A particle in a central field of force; the hydrogen atom V. Perturbation theory
47. Introduction
48. The perturbation of a non-degenerate discrete stationary state
49. The perturbation of a degenerate discrete stationary state
50. Perturbation theory and infinitesimal transformations
51. Method of approximate solutions; the variational principle
52. Expectation values and time averages
53. The method of the variation of constants
54. Variable fields of force; adiabatic theorem
55. Time proportional transition probabilities
PART TWO: QUANTUM THEORY OF THE ELECTRON AND OF RADIATION VI. The spinning electron A. Non-relativistic spin theory
56. Uhlenbeck and Goudsmit''s hypothesis of the rotating magnetic electron
57. The classical description of the motion of a spinning electron
58. The non-relativistic quantum mechanical treatment of spin
59. The spinning electron in a central field of force
60. Many electron systems
61. Spinors and rotations in space
62. Gauge transformations B. Relativistic spin theory
63. Relativistic spinor calculus
64. Derivation of the Dirac equations
65. Discussion of the Dirac equations
66. The electron in a central field of force according to the Dirac theory VII. The exclusion principle
67. The Pauli principle of electrons
68. Exclusion principles for other equivalent particles
69. Permutations
70. Stationary states of several independent electrons in a common field of force; the shell structure of the atom
71. Quantum theory of N-electron systems
72. Formulation of the many particle problem independent of the number of particles
73. Systems with two electrons without spin forces
74. Systems with two electrons with spin forces
75. Analysis of multiplet situations in the N-electron problem
76. Rotations and angular momentum operators
77. Multiplet situations (continued)
78. Stationary states of N-electron systems without spin forces
79. N-electron systems with spin forces; Russell-Saunders coupling
80. Coupling of many electron systems; homopolar chemical bonds VIII. Electromagnetic radiation
81. Quantum theory of radiation and quantum electrodynamics
82. The unquantised radiation field; absorption of radiation
83. The insufficiency of an unquantised radiation theory; classical theory of the emission of radiation
84. "The "semi-classical" theory of spontaneous transitions"
85. Emission of radiation and correspondence principle
86. The radiation field in vacuo as a canonical system
87. Quantisation of the radiation field; light quanta
88. Field theory
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