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dc.contributorVirginia Techen_US
dc.contributor.authorBesieris, Ioannis M.en_US
dc.contributor.authorStasiak, W. B.en_US
dc.contributor.authorTappert, F. D.en_US
dc.date.accessioned2014-04-09T18:12:21Z
dc.date.available2014-04-09T18:12:21Z
dc.date.issued1978-02-01
dc.identifier.citationBesieris, I. M.; Stasiak, W. B.; Tappert, F. D., "A kinetic formulation of 3-dimensional quantum mechanical harmonic-oscillator under a random perturbation," J. Math. Phys. 19, 359 (1978); http://dx.doi.org/10.1063/1.523679
dc.identifier.issn0022-2488
dc.identifier.urihttp://hdl.handle.net/10919/47054
dc.description.abstractThe behavior of a three_dimensional, nonrelativistic, quantum mechanical harmonic oscillator is investigated under the influence of three distinct types of randomly fluctuating potential fields. Specifically, kinetic (or transport) equations are derived for the corresponding stochastic Wigner equation (the exact equation of evolution of the phase_space Wigner distribution density function) and the stochastic Liouville equation (correspondence limit approximation) using two closely related statistical techniques, the first_order smoothing and the long_time Markovian approximations. Several physically important averaged observables are calculated in special cases. In the absence of a deterministic inhomogeneous potential field (randomly perturbed, freely propagating particle), the results reduce to those reported previously by Besieris and Tappert.
dc.description.sponsorshipOffice of Naval Research N00014-75-C-0921
dc.description.sponsorshipAir Force Office of Scientific Research, AFOSR-74-2651C
dc.language.isoen_US
dc.publisherAIP Publishing
dc.subjectMechanical oscillatorsen_US
dc.subjectOscillatorsen_US
dc.subjectQuantum fluctuationsen_US
dc.titleA Kinetic Formulation Of 3-Dimensional Quantum Mechanical Harmonic-Oscillator Under A Random Perturbationen_US
dc.typeArticleen_US
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/19/2/10.1063/1.523679
dc.date.accessed2014-03-20
dc.title.serialJournal of Mathematical Physics
dc.identifier.doihttps://doi.org/10.1063/1.523679
dc.type.dcmitypeTexten_US


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