6533b85afe1ef96bd12b9f1d

RESEARCH PRODUCT

Eigenfunction expansions for time dependent hamiltonians

Hans-rudolf JauslinStéphane GuérinA. Deroussiaux

subject

Floquet theoryPhysicsAdiabatic theoremConjectureGeneralizationOperator (physics)Time evolutionMathematics::Spectral TheoryEigenfunctionType (model theory)Mathematical physics

description

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

yearjournalcountryeditionlanguage
2008-04-06
https://doi.org/10.1007/3-540-60188-0_53