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PubMed · 9961202

Quantum dynamics as a stochastic process.

S John·J W Wilson
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Abstract

The quantum Liouville equation is solved in the Wigner representation using generalized Monte Carlo techniques. For small increments of time, the solution is represented as a sequential classical evolution in phase space followed by a quantum "jump" distribution in momentum space, with the latter simulated via a stochastic method. Extending the work initiated by John and Remler [Ann Phys. (N.Y.) 180, 152 (1987)] the technique is developed and validated for higher dimensions. Also, an alternative algorithm is developed and applied to study motion of a quantum system in an anharmonic quartic potential well, with significantly improved results.

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AlgorithmsMathematicsModels, TheoreticalMonte Carlo MethodNuclear PhysicsQuantum TheoryStochastic ProcessesNASA Discipline Number 45-10NASA Discipline Radiation HealthJournal ArticleResearch Support, U.S. Gov't, Non-P.H.S.Research Support, U.S. Gov't, P.H.S.

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S John, J W Wilson. 1994. Quantum dynamics as a stochastic process.. https://doi.org/10.1103/physreve.49.145

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