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Unitary transformations depending on a small parameter
dc.contributor.author | Casas, Fernando | |
dc.contributor.author | Oteo, J. A. | |
dc.contributor.author | Ros, J. | |
dc.date.accessioned | 2013-07-03T14:36:43Z | |
dc.date.available | 2013-07-03T14:36:43Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 1364-5021 | |
dc.identifier.issn | 1471-2946 | |
dc.identifier.uri | http://hdl.handle.net/10234/69303 | |
dc.description.abstract | We formulate a unitary perturbation theory for quantum mechanics inspired by the LieDeprit formulation of canonical transformations. The original Hamiltonian is converted into a solvable one by a transformation obtained through a Magnus expansion. This ensures unitarity at every order in a small parameter. A comparison with the standard perturbation theory is provided. We work out the scheme up to order ten with some simple examples. | ca_CA |
dc.format.extent | 16 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Royal Society, The | ca_CA |
dc.relation.isPartOf | Proc. R. Soc. A March 8, 2012 468 2139 | ca_CA |
dc.rights | This journal is © 2011 The Royal Society | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | perturbation theory | ca_CA |
dc.subject | quantum mechanics | ca_CA |
dc.subject | unitary transformation | ca_CA |
dc.subject | Magnus expansion | ca_CA |
dc.title | Unitary transformations depending on a small parameter | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1098/rspa.2011.0388 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.gicas.uji.es/Fernando/MyPapers/PRSA2011.pdf | ca_CA |
dc.type.version | info:eu-repo/semantics/acceptedVersion |
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