Exactly solvable models of quantum mechanics including fluctuations in the framework of representation of the wave function by random process

2000/07/28 by A. S. Gevorkyan, Gevorkyan, A. S., A. A. Udalov +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0007108

29 pages, Latex

arxiv created 2000/07/28 · arxiv updated 2009/12/01

Abstract

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.

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