Operators and Representation Theory

Canonical Models for Algebras of Operators Arising in Quantum Mechanics

Nonfiction, Science & Nature, Science, Physics, Quantum Theory
Cover of the book Operators and Representation Theory by Palle E.T. Jorgensen, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Palle E.T. Jorgensen ISBN: 9780486822570
Publisher: Dover Publications Publication: May 22, 2017
Imprint: Dover Publications Language: English
Author: Palle E.T. Jorgensen
ISBN: 9780486822570
Publisher: Dover Publications
Publication: May 22, 2017
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book A History of Japanese Mathematics by Palle E.T. Jorgensen
Cover of the book Miniature Crocheting and Knitting for Dollhouses by Palle E.T. Jorgensen
Cover of the book The Compleat Strategyst by Palle E.T. Jorgensen
Cover of the book Dynamical Systems by Palle E.T. Jorgensen
Cover of the book Game Theory and Politics by Palle E.T. Jorgensen
Cover of the book Quantum Mechanics by Palle E.T. Jorgensen
Cover of the book Life in a Bucket of Soil by Palle E.T. Jorgensen
Cover of the book The Book of the Crossbow by Palle E.T. Jorgensen
Cover of the book Five Children and It by Palle E.T. Jorgensen
Cover of the book Mechanical Vibration Analysis and Computation by Palle E.T. Jorgensen
Cover of the book Line by Palle E.T. Jorgensen
Cover of the book Hydrodynamic and Hydromagnetic Stability by Palle E.T. Jorgensen
Cover of the book Fruit Key and Twig Key to Trees and Shrubs by Palle E.T. Jorgensen
Cover of the book Wulf the Saxon by Palle E.T. Jorgensen
Cover of the book The Log of a Cowboy by Palle E.T. Jorgensen
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy