Extension of the Barut-Girardello Coherent State and Path Integral II

Details Extension of the Barut-Girardello Coherent State and Path Integral II Extension of the Barut-Girardello Coherent State and Path Integral II

1997-08-25

arxiv.org/abs/quant-ph/9708041v1

J.Math.Phys. 38 (1997) 4422-4434

Physics

Quantum Physics

latex, no figure, 14 pages

Scientific paper

10.1063/1.532134

We have constructed the coherent state of $U(N,1)$, which is an extension of the Barut-Girardello (BG) coherent state of $SU(1,1)$, in our previous paper. However there is a restriction that the eigenvalue of the Casimir operator is natural number. In this paper we construct the coherent state in the analytic representation to overcome this restriction. Next we show that the measure of the BG coherent state is not the symplectic induced measure.

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