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Unitary transformations depending on a small parameter

dc.contributor.authorCasas, Fernando
dc.contributor.authorOteo, J. A.
dc.contributor.authorRos, J.
dc.date.accessioned2013-07-03T14:36:43Z
dc.date.available2013-07-03T14:36:43Z
dc.date.issued2012
dc.identifier.issn1364-5021
dc.identifier.issn1471-2946
dc.identifier.urihttp://hdl.handle.net/10234/69303
dc.description.abstractWe 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.extent16 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherRoyal Society, Theca_CA
dc.relation.isPartOfProc. R. Soc. A March 8, 2012 468 2139ca_CA
dc.rightsThis journal is © 2011 The Royal Societyca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectperturbation theoryca_CA
dc.subjectquantum mechanicsca_CA
dc.subjectunitary transformationca_CA
dc.subjectMagnus expansionca_CA
dc.titleUnitary transformations depending on a small parameterca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1098/rspa.2011.0388
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://www.gicas.uji.es/Fernando/MyPapers/PRSA2011.pdfca_CA
dc.type.versioninfo:eu-repo/semantics/acceptedVersion


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