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J. Math. Phys. 27, 24 (1986); http://dx.doi.org/10.1063/1.527370 (5 pages)
A class of unitary representations of the Lie group Sp(3, R), its coherent states, and its map to a symplectic realization on sp∗(3, R)
(Received 28 December 1984; accepted 17 June 1985)
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Add to FacebookUnitary representations from the positive discrete series of Sp(3, R) with lowest weight w={w0w0w0} are considered. By use of new relations on the enveloping algebra, the generators are constructed as differential operators acting on functions of six real variables. Coherent states for these representations are constructed with the help of the Iwasawa decomposition and used to map the representation space to a symplectic realization on the dual sp∗(3, R).
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M. Moshinsky, J. Math. Phys. 25, 1555 (1984JMAPAQ000025000005001555000001).
J. Deenen and C. Quesne, J. Math. Phys. 25, 2354 (1984JMAPAQ000025000008002354000001).
E. Onofri, J. Math. Phys. 16, 1087 (1985JMAPAQ000016000005001087000001).
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