An extended Weyl-Wigner transformation for special finite spaces

D. Galetti and A.F.R. de Toledo Piza

Physica A: Statistical Mechanics and its Applications, 1988, vol. 149, issue 1, 267-282

Abstract: 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.

Date: 1988
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:149:y:1988:i:1:p:267-282

DOI: 10.1016/0378-4371(88)90219-1

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