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• W2107678753 abstract "Relation between Bopp-Kubo formulation and Weyl-Wigner-Moyal symbol calculus, and non-commutative geometry interpretation of the phase space representation of quantum mechanics are studied. Harmonic oscillator in phase space via creation and annihilation operators, both the usual and q-deformed, is investigated. We found that the Bopp-Kubo formulation is just non-commuting coordinates representation of the symbol calculus. The Wigner operator for the q-deformed harmonic oscillator is shown to be proportional to the 3-axis spherical angular momentum operator of the algebra suq(2). The relation of the Fock space for the harmonic oscillator and double Hilbert space of the Gelfand-Naimark-Segal construction is established. The quantum extension of the classical ergodiicity condition is proposed." @default.
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• W2107678753 date "1995-01-01" @default.
• W2107678753 modified "2023-09-27" @default.
• W2107678753 title "q-DEFORMED HARMONIC OSCILLATOR IN PHASE SPACE" @default.
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• W2107678753 hasPublicationYear "1995" @default.
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