Functional approach to nonlinear stochastic processes. Application to a single-mode laser

Abstract
We introduce a generalized version of the Volterra-Wiener functional expansion and show its fruitfulness in the treatment of nonlinear stochastic processes. As an application we derive in a simple way the statistical properties of the single-mode laser radiation both in the steady state and in the transient regime. Besides deriving already known results with good accuracy, we give for the first time the transient correlation function for the photon number.