Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics

by Palle E.T. Jorgensen

Overview

This survey of operators in Hilbert space offers extensive background material and covers domains of representation, operators in the enveloping algebra, spectral theory, covariant representation, and infinite-dimensional Lie algebras. 1988 edition.

Product Details

ISBN-13:	9780486466651
Publisher:	Dover Publications
Publication date:	05/19/2008
Series:	Dover Books on Physics Series
Pages:	352
Product dimensions:	6.30(w) x 9.20(h) x 0.80(d)

Table of Contents

Foreword
Preface to the Dover Edition
Preface
Acknowledgments
Part I. Background Material
1. Introduction and Overview
2. Definitions and Terminology
3. Operators in Hilbert Space
4. The Imprimitivity Theorem
Part II. Algebras of Operators on Hilbert Space
5. Domains of Representations
6. Operators in the Enveloping Algebra
7. Spectral Theory
Part III. Covariant Representations and Connections
8. Infinite-Dimensional Lie Algebras
Appendix. Integrability of Lie Algebras
Bibliography
Index