Synopses & Reviews
This superb text by David Bohm, formerly Princeton University and Emeritus Professor of Theoretical Physics at Birkbeck College, University of London, provides a formulation of the quantum theory in terms of qualitative and imaginative concepts that have evolved outside and beyond classical theory. Although it presents the main ideas of quantum theory essentially in nonmathematical terms, it follows these with a broad range of specific applications that are worked out in considerable mathematical detail.
Addressed primarily to advanced undergraduate students, the text begins with a study of the physical formulation of the quantum theory, from its origin and early development through an analysis of wave vs. particle properties of matter. In Part II, Professor Bohm addresses the mathematical formulation of the quantum theory, examining wave functions, operators, Schrödinger's equation, fluctuations, correlations, and eigenfunctions.
Part III takes up applications to simple systems and further extensions of quantum theory formulation, including matrix formulation and spin and angular momentum. Parts IV and V explore the methods of approximate solution of Schrödinger's equation and the theory of scattering. In Part VI, the process of measurement is examined along with the relationship between quantum and classical concepts.
Throughout the text, Professor Bohm places strong emphasis on showing how the quantum theory can be developed in a natural way, starting from the previously existing classical theory and going step by step through the experimental facts and theoretical lines of reasoning which led to replacement of the classical theory by the quantum theory.
Synopsis
This advanced undergraduate-level text provides a formulation of the quantum theory in terms of qualitative and imaginative concepts outside classical theory. A broad range of specific applications follows, worked out in considerable mathematical detail. Also included: an examination of the relationship between quantum and classical concepts. Preface. Index.
Synopsis
This advanced undergraduate-level text presents the quantum theory in terms of qualitative and imaginative concepts, followed by specific applications worked out in mathematical detail.
Table of Contents
Part I Physical formulation of the quantum theory
1. The origin of the quantum theory
2. Further developments of the early quantum theory
3. Wave packets and De Broglie waves
4. The definition of probabilities
5. The uncertainty principle
6. Wave vs. particle properties of matter
7. Summary of quantum concepts introduced
8. An attempt to build a physical picture of the quantum nature of matter
Part II Mathematical formulation of the quantum theory
9. Wave functions, operators, and Schrödinger's equation
10. Fluctuations, correlations, and eigenfunctions
Part III Applications to simple systems. Further extension of quantum theory formulation
11. Solutions of wave equations for square potentials
12. The classical limit of quantum theory. The WKB approximation
13. The harmonic oscillator
14. Angular momentum and the three-dimensional wave equation
15. Solution of radial equation, the hydrogen atom, the effect of a magnetic field
16. Matrix formulation of quantum theory
17. Spin and angular momentum
Part IV Methods of approximate solution of Schrödinger's equation
18. Perturbation theory, time-dependent and time-independent
19. Degenerate perturbations
20. Sudden and adiabatic approximations
Part V Theory of scattering
21. Theory of scattering
Part VI Quantum theory of the process of measurement
22. Quantum theory of the process of measurement
23. Relationship between quantum and classical concepts
Index