ua nt - p h / 97 08 04 1 v 1 2 5 A ug 1 99 7 Extension of the Barut - Girardello Coherent State and Path Integral II
نویسندگان
چکیده
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. e-mail address : [email protected] e-mail address : [email protected]
منابع مشابه
Extension of the Barut-Girardello Coherent State and Path Integral
We extend the Barut-Girardello coherent state for the representation of SU(1, 1) to the coherent state for a representation of U(N, 1) and construct the measure. We also construct a path integral formula for some Hamiltonian.
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تاریخ انتشار 1997