Solution of an oscillator multiplicative stochastic equation as an ordering problem
K. Wódkiewicz · Journal of Physics A Mathematical and General · 1983
An exact solution, compact in form, for the evolution operator of a harmonic oscillator driven by an external chaotic electric field is obtained. It is shown that using the harmonic description of the Ornstein-Uhlenbeck stochastic process, the evolution operator can be calculated explicitly from a normal ordering problem of certain Bose creation and annihilation operators.