Exactly solvable models of quantum mechanics including fluctuations in   the framework of representation of the wave function by random process
  The problem of quantum harmonic oscillator with "regular+random" square frequency, subjected to "regular+random external force, is considered in framework of representation of the wave function by complex-valued random process. Average transition probabilities are calculated. Stochastic density matrix method is developed, which is used for investigation of thermodinamical characteristics of the system, such as entropy and average energy. 
A.S.Gevorkyan and A.A.Udalov