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Independent oscillator model of a heat bath: Exact diagonalization of the Hamiltonian
dc.contributor.authorO'Connell, R. F.en_US
dc.contributor.authorLewis, J. T.en_US
dc.contributor.authorFord, G. W.en_US
dc.date.accessioned2006-09-11T15:43:59Z
dc.date.available2006-09-11T15:43:59Z
dc.date.issued1988-10en_US
dc.identifier.citationFord, G. W.; Lewis, J. T.; O'Connell, R. F.; (1988). "Independent oscillator model of a heat bath: Exact diagonalization of the Hamiltonian." Journal of Statistical Physics 53 (1-2): 439-455. <http://hdl.handle.net/2027.42/45154>en_US
dc.identifier.issn0022-4715en_US
dc.identifier.issn1572-9613en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/45154
dc.description.abstractThe problem of a quantum oscillator coupled to an independent-oscillator model of a heat bath is discussed. The transformation to normal coordinates is explicitly constructed using the method of Ullersma. With this transformation an alternative derivation of an exact formula for the oscillator free energy is constructed. The various contributions to the oscillator energy are calculated, with the aim of further understanding this formula. Finally, the limitations of linear coupling models, such as that used by Ullersma, are discussed in the form of some critical remarks.en_US
dc.format.extent652716 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Mediaen_US
dc.subject.otherStatistical Physicsen_US
dc.subject.otherQuantum Dissipationen_US
dc.subject.otherPhysicsen_US
dc.subject.otherPhysical Chemistryen_US
dc.subject.otherQuantum Physicsen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherCoupled Oscillatorsen_US
dc.subject.otherHeat Bathen_US
dc.subject.otherFree Energyen_US
dc.titleIndependent oscillator model of a heat bath: Exact diagonalization of the Hamiltonianen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Physics, University of Michigan, 48109-1120, Ann Arbor, Michiganen_US
dc.contributor.affiliationotherSchool of Theoretical Physics, Dublin Institute for Advanced Studies, Dublin 4, Irelanden_US
dc.contributor.affiliationotherDepartment of Physics and Astronomy, Louisiana State University, 70803-4001, Baton Rouge, Louisianaen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/45154/1/10955_2005_Article_BF01011565.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01011565en_US
dc.identifier.sourceJournal of Statistical Physicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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