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46G12 Functional analysis -- Measures, integration, derivative, holomorphy -- Measures and integration on abstract linear spaces

81R30 Quantum theory -- Groups and algebras in quantum theory -- Coherent states; squeezed states

81Q05 Quantum theory -- General mathematical topics and methods in quantum theory -- Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics En-ligne: Springerlink | Zentralblatt | MathSciNet

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This volume of lecture notes introduces various algebraic computational machineries connected with Bose Fock spaces, the algebra of creation and annihilation operators and their exponentials to wider audiences with no background in mathematical physics. Apart from standard introductory account, topics which are touched in this lecture note include coherent states, squeezed states, and (Segal-Bargmann) complex wave representation, the (Schrödinger) real wave representation and their connection.

Gaussian measures on infinite dimensional spaces and their connection with the above formalism are explained somewhat in detail. (Zentralblatt)

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