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

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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 t...