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dc.contributor.authorPetrov, Nikola P.en_US
dc.date.accessioned2006-12-19T18:54:28Z
dc.date.available2006-12-19T18:54:28Z
dc.date.issued2005-03-01en_US
dc.identifier.citationPetrov, Nikola P (2005). "The dynamical Casimir effect in a periodically changing domain: a dynamical systems approach." Journal of Optics B: Quantum and Semiclassical Optics. 7(3): S89-S99. <http://hdl.handle.net/2027.42/48859>en_US
dc.identifier.issn1464-4266en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/48859
dc.description.abstractWe study the problem of the behaviour of a quantum massless scalar field in the space between two parallel infinite perfectly conducting plates, one of them stationary, the other moving periodically. We reformulate the physical problem into a problem about the asymptotic behaviour of the iterates of a map of the circle, and then apply results from the theory of dynamical systems to study the properties of the map. Many of the general mathematical properties of maps of the circle translate into properties of the field in the cavity. For example, we give a complete classification of the possible resonances in the system, and show that small enough perturbations do not destroy the resonances. We use some mathematical identities to give a transparent physical interpretation of the processes of creation and amplification of the quantum field due to the motion of the boundary and to elucidate the similarities of and the differences between the classical and quantum fields in domains with moving boundaries.en_US
dc.format.extent3118 bytes
dc.format.extent265300 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherIOP Publishing Ltden_US
dc.titleThe dynamical Casimir effect in a periodically changing domain: a dynamical systems approachen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics and Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, MI 48109-1109, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/48859/2/job5_3_013.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1088/1464-4266/7/3/013en_US
dc.identifier.sourceJournal of Optics B: Quantum and Semiclassical Optics.en_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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