The dynamical Casimir effect in a periodically changing domain: a dynamical systems approach
dc.contributor.author | Petrov, Nikola P. | en_US |
dc.date.accessioned | 2006-12-19T18:54:28Z | |
dc.date.available | 2006-12-19T18:54:28Z | |
dc.date.issued | 2005-03-01 | en_US |
dc.identifier.citation | Petrov, 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.issn | 1464-4266 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/48859 | |
dc.description.abstract | We 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.extent | 3118 bytes | |
dc.format.extent | 265300 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.publisher | IOP Publishing Ltd | en_US |
dc.title | The dynamical Casimir effect in a periodically changing domain: a dynamical systems approach | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics and Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, MI 48109-1109, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/48859/2/job5_3_013.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1088/1464-4266/7/3/013 | en_US |
dc.identifier.source | Journal of Optics B: Quantum and Semiclassical Optics. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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