Q and P representatives for spherical tensors

Gilmore, R.
(1976) Journal of Physics A: Mathematical and General — Vol. 9, n° 7, p. L65-L66 (1976)

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  • Gilmore, R.
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Abstract
The /b Q/ and /b P/-representatives for the irreducible spherical tensor operators Y /sub M//sup L/(/b J/) are proportional to the corresponding spherical harmonics /b Y//sub M //sup L/( thetas , phi ). In the coherent state basis associated with the (2/b j/+1)-dimensional unitary irreducible representation of SU(2), the proportionality factors are (2/b j/)!/(2 /b j/-/b L/)!2/sup L/ and (2/b j/+1+/b L/)!/(2/b j/+1)!2/sup L/, respectively.
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Gilmore, R. (1976). Q and P representatives for spherical tensors. Journal of Physics A: Mathematical and General, 9(7), L65-L66. https://doi.org/10.1088/0305-4470/9/7/001 (Original work published 1976)