Extension of the Barut–Girardello coherent state and path integral
Extension of the Barut–Girardello coherent state and path integral
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 …