Synopses & Reviews
Peerless resource that can be used alone or as part of the complete set. Contents include wave functions of force-free particles, description of a particle in a box and in free space, particle in a field of force, more than one particle, eigenvalue problems, collision processes, matrices and operators, more.
Synopsis
In the 1950s, the distinguished theoretical physicist Wolfgang Pauli delivered a landmark series of lectures at the Swiss Federal Institute of Technology in Zurich. His comprehensive coverage of the fundamentals of classical and modern physics was painstakingly recorded not only by his students, but also by a number of collaborators whose carefully edited transcriptions resulted in a remarkable six-volume work.
This volume, the fifth in the series, focuses on topics chosen by Pauli for their conceptual and historical interest: the probabilistic nature of quantum theory, the concept of spin, the problem of identical particles, and the relation of the statistics of rotational states of diatomic molecules to nuclear spin. Chapter headings include Wave Functions of Force-Free Particles, Description of a Particle in a Box and in Free Space, Particle in a Field of Force, More than One Particle, Eigenvalue Problems, Collision Processes, Angular Momentum and Spin, Identical Particles with Spin, and more.
Originally published in 1973, the text remains an important resource thanks to Pauli's manner of presentation. As Victor F. Weisskopf notes in the Foreword to the series, Pauli's style is "commensurate to the greatness of its subject in its clarity and impact .... Pauli's lectures show how physical ideas can be presented clearly and in good mathematical form, without being hidden in formalistic expertise." Alone or as part of the complete set, this volume represents a mathematically rigorous treatment that will be invaluable to individuals, as well as to libraries and other institutions.
Synopsis
Peerless resource that can be used alone or as part of the complete set. Contents include wave functions of force-free particles, description of a particle in a box and in free space, particle in a field of force, more than one particle, eigenvalue problems, collision processes, matrices and operators, more.
Synopsis
Focuses on wave functions of force-free particles, description of a particle in a box and in free space, particle in a field of force, multiple particles, eigenvalue problems, more.
Description
Includes bibliographical references (p. 191-192) and index.
Table of Contents
Foreward by Victor F. Weisskopf
Preface by the Editor
Preface by the Students
Introduction
1. Wave Functions of Force-Free Particles
1. Association of waves with particles
2. The wave function and wave equation
3. The uncertainty principle
4. Wave packets and the mechanics of point particles. Probability density
5. Measuring arrangements. Discussion of examples
6. Classical statistics and quantum statistics
2. Description of a Particle in a Box and in Free Space
7. One particle in a box. The equation of continuity
8. Normalization in the continuum. The Dirac d-function
9. The completeness relation. Expansion theorem
10. Initial-value problem and the fundamental solution
3. Particle in a Field of Force
11. The Hamiltonian operator
12. Hermitian operators
13. Expectation values and the classical equation of motion. Commutation relations (commutators)
4. More than One Particle
14. More than one particle
5. Eigenvalue Problems. Functions of Mathematical Physics
15. The linear harmonic oscillator. Hermite polynomials
16. Matrix calculus illustrated with the linear harmonic oscillator
17. The harmonic oscillator in a plane. Degeneracy
18. The hydrogen atom
6. Collision Processes
19. Asymptotic solution of the scattering problem
20. The scattering cross section. The Rutherford scattering formula
21. Solution of the force-free wave equation
22. Expansion of a plane wave in Legendre polynomials
23. Solution of the Schrödinger equation with an arbitrary central potential
24. The Born approximation
25. Scattering of low-energy particles
7. Approximate Methods for Solving the Wave Equation
26. Eigenvalue problem of a particle in a uniform field
27. The WKB method
8. Matrices and Operators. Perturbation Theory
28. General relationship between matrices and operators. Transformation theory
29. General formalism of perturbation theory in the matrix representation
30. Time-dependent perturbation
9. Angular Momentum and Spin
31. General commutation relations
32. Matrix elements of the angular momentum
33. Spin
34. Spinors and space rotations
10. Identical Particles with Spin
35. Symmetry classes
36. The exclusion principle
37. The helium atom
38. Collision of two identical particles: Mott's theory
39. The statistics of nuclear spins
Exercises
40. Fundamental solution for interval
41. Bound states and tunnel effect
42. Kronig-Penney potential
43. Spherical harmonics
44. Fundamental solution for harmonic oscillator
45. Angular momentum
46 Partial waves
47. The symmetrical top
Bibliography
"Appendix, Comments by the Editor"
Index