Quantum Mechanics, Fachbücher von D.I. Blokhintsev, M.J. Kearsley, S. Sykes

I. Foundations of Quantum Theory. - 1. Energy and momentum of light quanta. - 2. Experimental test of the laws of conservation of energy and momentum for light quanta. - 3. Atomism. - 4. Bohr’s theory. - 5. The elementary quantum theory of radiation. - 6. Black-body radiation. - 7. De Broglie waves. The group velocity. - 8. Diffraction of microparticles. - II. Foundations of Quantum Mechanics. - 9. Statistical interpretation of de Broglie waves. - 10. The position probability of a microparticle. - 11. The principle of superposition of states. - 12. Momentum probability distribution of a microparticle. - 13. Mean values of functions of co-ordinates and functions of momenta. - 14. Statistical ensembles in quantum mechanics. - 15. The uncertainty relation. - 16. Illustrations of the uncertainty relation. - 17. The significance of the measuring apparatus. - III. Representation of Mechanical Quantities by Operators. - 18. Linear self-adjoint operators. - 19. The general formula for the mean value of a quantity and the mean square deviation. - 20. Eigenvalues and eigenfunctions of operators and their physical significance. ‘Quantisation’. - 21. Fundamental properties of eigenfunctions. - 22. General method of calculating the probabilities of the results of measurement. - 23. Conditions for a simultaneous measurement of different mechanical quantities to be possible. - 24. Co-ordinate and momentum operators of a microparticle. - 25. The angular momentum operator of a microparticle. - 26. The energy operator and the Hamilton’s function operator. - 27. The Hamiltonian. - IV. Change of State with Time. - 28. Schrödinger’s equation. - 29. Conservation of number of particles. - 30. Stationary states. - V. Change of Mechanical Quantities with Time. - 31. Time derivatives of operators. - 32. Equations of motion in quantum mechanics. Ehrenfest’s theorems. - 33. Integrals of the motion. - VI. The Relation Between Quantum Mechanics, Classical Mechanics and Optics. - 34. The transition from the quantum equations to Newton’s equations. - 35. The transition from Schrödinger’s time-dependent equation to the classical Hamilton-Jacobi equation. - 36. Quantum mechanics and optics. - 37. The quasiclassical approximation (the Wentzel-Kramers-Brillouin method). - VII. Basic Theory of Representations. - 38. Different representations of the state of quantum systems. - 39. Different representations of operators of mechanical quantities. Matrices. - 40. Matrices and operations on them. - 41. Determination of the mean value and spectrum of a quantity represented by an operator in matrix form. - 42. Schrödinger’s equation and the time dependence of operators in matrix form. - 43. Unitary transformations. - 44. The unitary transformation from one instant to another. - 45. The density matrix. - VIII. Theory of the Motion of Microparticles in a Field of Potential Forces. - 46. Introductory remarks. - 47. A harmonic oscillator. - 48. An oscillator in the energy representation. - 49. Motion in the field of a central force. - 50. Motion in a Coulomb field. - 51. The spectrum and wave functions of the hydrogen atom. - 52. Motion of an electron in univalent atoms. - 53. Currents in atoms. The magneton. - 54. Quantum levels of the diatomic molecule. - 55. Motion of an electron in a periodic field. - IX. Motion of a charged Microparticle in an Electromagnetic Field. - 56. An arbitrary electromagnetic field. - 57. Motion of a free charged particle in a uniform magnetic field. - X. Intrinsic Angular Momentum and Magnetic Moment of the Electron. Spin. - 58. Experimental proofs of the existence of electron spin. - 59. The electron spin operator. - 60. Spin functions. - 61. Pauli’s equation. - 62. Splitting of spectral lines in a magnetic field. - 63. Motion of the spin in a variable magnetic field. - 64. Properties of the total angular momentum. - 65. Labelling of atomic terms having regard to the electron spin. Multiplet structure of spectra. - XI. Per.