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.

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 relation

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