Pure point spectrum for the time evolution of a periodically rank-N kicked Hamiltonian

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dc.creatorMcCaw, J. M.
dc.creatorMcKellar, B. H. J.
dc.date2004-04-02
dc.date2005-02-17
dc.date.accessioned2026-07-07T04:31:04Z
dc.date.available2026-07-07T04:31:04Z
dc.descriptionWe find the conditions under which the spectrum of the unitary time evolution operator for a periodically rank-N kicked system remains pure point. This stability result allows one to analyse the onset of, or lack of chaos in this class of quantum mechanical systems, extending the results for rank-1 systems produced by Combescure and others. This work includes a number of unitary theorems equivalent to those well known and used in the self-adjoint theory.
dc.descriptionImproved discussion in Section I.2 and a few small typos fixed. 37 pages, 1 figure, published in Journal of Mathematical Physics
dc.identifierhttps://arxiv.org/abs/math-ph/0404006
dc.identifierhttp://arxiv.org/abs/math-ph/0404006
dc.identifierJournal of Mathematical Physics 46, 032108 (2005)
dc.identifierdoi:10.1063/1.1841482
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57690
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subjectChaotic Dynamics
dc.subjectQuantum Physics
dc.titlePure point spectrum for the time evolution of a periodically rank-N kicked Hamiltonian
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