Quasi-probability distributions for the simplest dynamical groups
JOSA A, Vol. 17, Issue 12, pp. 2315-2318 (2000)
http://dx.doi.org/10.1364/JOSAA.17.002315
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Abstract
We prove that the Wigner–Stratonovich–Agarwal operator that defines the quasi-probability distribution on the sphere [for the SU(2) dynamical group] can be written as an integral of the SU(2) (irreducible unitary) representation element with respect to a single variable that labels the orbits in the coadjoint representation. This allows us to consider contractions of the SU(2) quasi-probability distribution to the cases of the Heisenberg–Weyl group and the two-dimensional Euclidean group.
© 2000 Optical Society of America
[Optical Society of America ]
OCIS Codes
(000.1600) General : Classical and quantum physics
Citation
A. B. Klimov and S. M. Chumakov, "Quasi-probability distributions for the simplest dynamical groups," J. Opt. Soc. Am. A 17, 2315-2318 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-12-2315
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