Progressive diagonalization and applications

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We 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.
16 pages, Latex2e

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Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/57721

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0405014
 http://arxiv.org/abs/math-ph/0405014
 Proceedings of the Conference "Operator Algebras & Mathematical Physics", Constanta (Roumanie, 2001), R. Purice Ed., Theta Foundation, Bucarest (2003)

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arXiv