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Wavefunctions on phase space

Smith, T.B. (2006). Wavefunctions on phase space. Journal of Physics A: Mathematical and General, 39(6) pp. 1469–1484.

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DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1088/0305-4470/39/6/019
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Abstract

Theories of Torres-Vega and Fredrick (1993 J. Chem. Phys. 98 3103), Harriman (1994 J. Chem. Phys. 100 3651) and Ban (1998 J.Math. Phys. 39 1744), in which phase space points (p,q) are used as configurational variables to formulate quantum mechanics are considered from the standpoint of a class of quantization schemes associating phase space functions with operators. The connection between these schemes and the theories given by others is made by means of augmented wavefunctions psi(lambda;p,q), where lambda = 0 corresponds to the ordering of Wigner and Weyl. For that case we use these functions to define a family of positive operator-valued measures for the phase angle of an harmonic oscillator.

Item Type: Journal Article
ISSN: 0305-4470
Keywords: phase operator; quantization; phase space; Wigner function
Academic Unit/Department: Other Departments > Other Departments
Item ID: 5858
Depositing User: Tom Smith
Date Deposited: 14 Nov 2006
Last Modified: 06 Dec 2010 17:53
URI: http://oro.open.ac.uk/id/eprint/5858
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