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Eigenfunction expansions for time dependent hamiltonians

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Chaos — The Interplay Between Stochastic and Deterministic Behaviour

Part of the book series: Lecture Notes in Physics ((LNP,volume 457))

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Abstract

We describe a generalization of Floquet theory for non periodic time dependent Hamiltonians. It allows to express the time evolution in terms of an expansion in eigenfunctions of a generalized quasienergy operator. We discuss a conjecture on the extension of the adiabatic theorem to this type of systems, which gives a procedure for the physical preparation of Floquet states. *** DIRECT SUPPORT *** A3418380 00004

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Piotr Garbaczewski Marek Wolf Aleksander Weron

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© 1995 Springer-Verlag

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Jauslin, H.R., Guerin, S., Deroussiaux, A. (1995). Eigenfunction expansions for time dependent hamiltonians. In: Garbaczewski, P., Wolf, M., Weron, A. (eds) Chaos — The Interplay Between Stochastic and Deterministic Behaviour. Lecture Notes in Physics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60188-0_53

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  • DOI: https://doi.org/10.1007/3-540-60188-0_53

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60188-3

  • Online ISBN: 978-3-540-44722-1

  • eBook Packages: Springer Book Archive

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