Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics (Dover Books on Physics)
Jorgensen, Palle E.T.; Physics
Language: English
Published by Dover Publications, 2008
- Softcover
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- Title
- Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics (Dover Books on Physics)
- Author
- Jorgensen, Palle E.T.; Physics
- Publisher
- Dover Publications
- Publication year
- 2008
- Condition
- Very Good
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0486466655
- ISBN 13
- 9780486466651
- Edition
- 2nd Edition
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
Suitable for advanced undergraduates and graduate students in mathematics and physics, this three-part treatment of operators and representation theory begins with background material on definitions and terminology as well as on operators in Hilbert space. The introductory section concludes with a look at the imprimitivity theorem, which grounds in more mathematical language the work of Wigner on representations of the Poincaré and Galilei groups.
The second part of the monograph addresses the algebras of operators in Hilbert space, broadening the mathematics used in earlier versions of quantum theory. There are many examples in which the Hamiltonian, the operator that translates a quantum system in time, can be written as a polynomial in elements of an underlying Lie algebra. This section deals with properties of such operators. Part 3 explores covariant representation and connections, with a particular focus on infinite-dimensional Lie algebras. Connections to mathematical physics are stressed throughout the text, which concludes with three helpful appendixes, including a Guide to the Literature.
Dover (2017) revised and updated publication of the edition originally published by North-Holland Publishing Company, Amsterdam and New York, 1988.
www.doverpublications.com
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