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.
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.
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 Schrodinger'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 Schrodinger'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
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