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

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

by Palle E. T. Jorgensen
 

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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,

Overview

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.

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)

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