An Introduction to Quantum Theory
Series: Oxford Graduate Texts in Mathematics; 1;
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Product details:
- Publisher OUP Oxford
- Date of Publication 20 March 1997
- Number of Volumes laminated boards
- ISBN 9780198537946
- Binding Hardback
- No. of pages394 pages
- Size 241x160x26 mm
- Weight 698 g
- Language English
- Illustrations line figures 0
Categories
Short description:
This book provides an introduction to quantum theory primarily for mathematics students, and is based on the sort of material usually covered in the first two years of undergraduate algebra. It includes more mathematical detail than is common in introductory books at this level and covers some more advanced topics.
MoreLong description:
This book provides an introduction to quantum theory primarily for students of mathematics. Although the approach is mainly traditional the discussion exploits ideas of linear algebra, and points out some of the mathematical subtleties of the theory. Amongst the less traditional topics are Bell's inequalities, coherent and squeezed states, and introductions to group representation theory. Later chapters discuss relativistic wave equations and elementary particle symmetries from a group theoretical standpoint rather than the customary Lie algebraic approach. This book is intended for the later years of an undergraduate course or for graduates. It assumes a knowledge of basic linear algebra and elementary group theory, though for convenience these are also summarized in an appendix.
Students who master the contents of this book as undergraduates would have considerable advantages over many of their contemporaries.
Table of Contents:
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
