Quantum Theory

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.

Physical formulation of the quantum theory
The origin of the quantum theory
Further developments of the early quantum theory
Wave packets and De Broglie waves
The definition of probabilities
The uncertainty principle
Wave vs. particle properties of matter
Summary of quantum concepts introduced
An attempt to build a physical picture of the quantum nature of matter
Mathematical formulation of the quantum theory
Wave functions, operators, and Schrodinger's equation
Fluctuations, correlations, and eigenfunctions
Applications to simple systems
Further extension of quantum theory formulation
Solutions of wave equations for square potentials
The classical limit of quantum theory
The WKB approximation
The harmonic oscillator
Angular momentum and the three-dimensional wave equation
Solution of radial equation, the hydrogen atom, the effect of a magnetic field
Matrix formulation of quantum theory
Spin and angular momentum
Methods of approximate solution of Schrodinger's equation
Perturbation theory, time-dependent and time-independent
Degenerate perturbations
Sudden and adiabatic approximations
Theory of scattering
Theory of scattering
Quantum theory of the process of measurement
Quantum theory of the process of measurement
Relationship between quantum and classical concepts
Index
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Summary

Table of Contents

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