An extended Weyl-Wigner transformation for special finite spaces

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1988-03-01

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Galetti, D. [UNESP]
de Toledo Piza, A. F R

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We extend the Weyl-Wigner transformation to those particular degrees of freedom described by a finite number of states using a technique of constructing operator bases developed by Schwinger. Discrete transformation kernels are presented instead of continuous coordinate-momentum pair system and systems such as the one-dimensional canonical continuous coordinate-momentum pair system and the two-dimensional rotation system are described by special limits. Expressions are explicitly given for the spin one-half case. © 1988.

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Physica A: Statistical Mechanics and its Applications, v. 149, n. 1-2, p. 267-282, 1988.