An Introduction to Quantum Theory [Hardcover]

This book provides an introduction to quantum theory, primarily for mathematics students. It assumes a knowledge of basic algebra and elementary group theory, with little or no familiarity with more advanced topics. Although it takes a traditional approach, the book exploits ideas of linear algebra and points out some of the mathematical subtleties of the theory. It also covers such topics as Bell's inequalities and coherent and squeezed states, and introduces group representation theory, algebraic quantum theory, and quantum statistical mechanics. Later chapters discuss relativistic wave equations and elementary particle symmetries from a group-theoretical standpoint.

Preface
Introduction
Wave mechanics
Quadratic and linear potentials
The hydrogen atom
Scattering and tunnelling
The mathematical structure of quantum theory
The commutation relations
Angular momentum
Symmetry in quantum theory
Measurements and paradoxes
Alternative formulations of quantum theory
Stationary perturbation theory
Iterative perturbation theory
Variational methods
The semi-classical approximation
Systems of several particles
Relativistic wave equation
Dirac particles in electromagnetic fields
Symmetries of elementary particles
A review of linear algebra and groups
Open systems

Although this is an introductory text, some quite sophisticated concepts are discussed....In summary, this text gives undergraduate mathematics majors an excellent opportunity to see how their linear and abstract algebra and differential equations courses can be applied to modern physics. --Mathematical Reviews