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An extended Weyl-Wigner transformation for special finite spaces

Author

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  • Galetti, D.
  • de Toledo Piza, A.F.R.

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.

Suggested Citation

  • Galetti, D. & de Toledo Piza, A.F.R., 1988. "An extended Weyl-Wigner transformation for special finite spaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(1), pages 267-282.
    • Handle: RePEc:eee:phsmap:v:149:y:1988:i:1:p:267-282
    DOI: 10.1016/0378-4371(88)90219-1
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    Cited by:

    1. Galetti, D. & Toledo Piza, A.F.R., 1992. "Discrete quantum phase spaces and the mod N invariance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 186(3), pages 513-523.
    2. Marchiolli, Marcelo A., 2003. "Nonclassical statistical properties of finite-coherent states in the framework of the Jaynes–Cummings model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 331-354.

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