Bose algebras: the complex and real wave representations / Torben T. Nielsen

Auteur: Nielsen, Torben T. - AuteurType de document: Livre numériqueCollection: Lecture notes in mathematics, (Online) ; 1472Langue: anglaisÉditeur: Berlin : SpringerVerlag, 1991 ISBN: 3540540415 Note: 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) Sujets MSC: 47N50 Operator theory -- Miscellaneous applications of operator theory -- Applications in the physical sciences
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
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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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