A Kinetic Formulation Of 3-Dimensional Quantum Mechanical Harmonic-Oscillator Under A Random Perturbation

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dc.contributorVirginia Techen
dc.contributor.authorBesieris, Ioannis M.en
dc.contributor.authorStasiak, W. B.en
dc.contributor.authorTappert, F. D.en
dc.contributor.departmentElectrical and Computer Engineeringen
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:21Zen
dc.date.available2014-04-09T18:12:21Zen
dc.date.issued1978-02-01en
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.en
dc.description.sponsorshipOffice of Naval Research N00014-75-C-0921en
dc.description.sponsorshipAir Force Office of Scientific Research, AFOSR-74-2651Cen
dc.format.mimetypeapplication/pdfen
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/10.1063/1.523679en
dc.identifier.doihttps://doi.org/10.1063/1.523679en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47054en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/19/2/10.1063/1.523679en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectMechanical oscillatorsen
dc.subjectOscillatorsen
dc.subjectQuantum fluctuationsen
dc.titleA Kinetic Formulation Of 3-Dimensional Quantum Mechanical Harmonic-Oscillator Under A Random Perturbationen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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