Progressive diagonalization and applications

dc.creatorDuclos, P.
dc.creatorLev, O.
dc.creatorStovicek, P.
dc.creatorVittot, M.
dc.date2004-05-06
dc.date.accessioned2026-07-07T04:31:10Z
dc.date.available2026-07-07T04:31:10Z
dc.descriptionWe give a partial review of what is known so far on stability of periodically driven quantum systems versus regularity of the bounded driven force. In particular we emphasize the fact that unbounded degeneracies of the unperturbed Hamiltonian are allowed. Then we give a detailed description of an extension to some unbounded driven forces. This is done by representing the Schroedinger equation in the instantaneous basis of the time dependent Hamiltonian with a method that we call progressive diagonalization.
dc.description16 pages, Latex2e
dc.identifierhttps://arxiv.org/abs/math-ph/0405014
dc.identifierhttp://arxiv.org/abs/math-ph/0405014
dc.identifierProceedings of the Conference "Operator Algebras & Mathematical Physics", Constanta (Roumanie, 2001), R. Purice Ed., Theta Foundation, Bucarest (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57721
dc.subjectMathematical Physics
dc.titleProgressive diagonalization and applications
dc.typetext

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