On coherent-state representations of quantum mechanics: Wave mechanics in phase space

Klaus Braagaard Møller, Thomas Godsk Jørgensen, Gabino Torres-Vega

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Abstract

In this article we argue that the state-vector phase-space representation recently proposed by Torres-Vega and co-workers [introduced in J. Chem. Phys. 98, 3103 (1993)] coincides with the totality of coherent-state representations for the Heisenberg-Weyl group. This fact leads to ambiguities when one wants to solve the stationary Schrodinger equation in phase space and we devise two schemes for the removal of these ambiguities. The physical interpretation of the phase-space wave functions is discussed and a procedure for computing expectation values as integrals over phase space is presented. Our formal points are illustrated by two examples. (C) 1997 American Institute of Physics.
Original languageEnglish
JournalJournal of Chemical Physics
Volume106
Issue number17
Pages (from-to)7228-7240
ISSN0021-9606
DOIs
Publication statusPublished - 1997

Bibliographical note

Copyright (1997) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

Keywords

  • WIGNER
  • CORRESPONDENCE PRINCIPLE
  • PROPAGATION
  • FLUX

Cite this

Møller, Klaus Braagaard ; Jørgensen, Thomas Godsk ; Torres-Vega, Gabino. / On coherent-state representations of quantum mechanics: Wave mechanics in phase space. In: Journal of Chemical Physics. 1997 ; Vol. 106, No. 17. pp. 7228-7240.
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On coherent-state representations of quantum mechanics: Wave mechanics in phase space. / Møller, Klaus Braagaard; Jørgensen, Thomas Godsk; Torres-Vega, Gabino.

In: Journal of Chemical Physics, Vol. 106, No. 17, 1997, p. 7228-7240.

Research output: Contribution to journalJournal articleResearchpeer-review

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N1 - Copyright (1997) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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