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

Jorgensen, Palle E. T.

Brossura

ISBN 10: 0486466655 ISBN 13: 9780486466651

Casa editrice: Dover Pubns, 2008

Riassunto

Algebras of operators arise frequently in the study of representations of Lie groups, both finite-dimensional and infinite-dimensional. This book begins with extensive background material that covers definitions and terminology, operators in Hilbert space, and the imprimitivity theorem.
Advancing to considerations of the algebras of operators in Hilbert space, the heart of the text examines domains of representations, operators in the enveloping algebra, and spectral theory. The final section explores covariant representations and connections, with a particular focus on infinite-dimensional Lie algebras. A helpful Appendix on the integrability of Lie algebras concludes the text.

Su questo libro

Contenuti

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

Product Description

The algebras of operators arise frequently in the study of representations of Lie groups, both finite-dimensional and infinite-dimensional. This survey begins with extensive background material and advances to considerations of the algebras of operators in Hilbert space and covariant representations and connections. 1988 edition.

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0486466655
• ISBN 13: 9780486466651
• Rilegatura: Copertina flessibile
• Numero di pagine: 337
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia