WIENER AND POISSON-PROCESS REGULARIZATION FOR COHERENT-STATE PATH-INTEGRALS

By introducing a suitable continuous-time regularization into a formal phase-space path integral it follows that the propagator is given by the limit of well-defined functional integrals involving standard stoc hastic processes and their associated probability measures. Such regul arizations require pinning of both coordinate and momenta variables, a nd automatically lead to coherent-state representations. It is found t hat each standard independent increment process, involving a superposi tion of a Wiener and a Poisson process, is associated with a specific, generally non-Gaussian, fiducial vector with which the coherent state s are defined.