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RESEARCH PRODUCT

KAM Techniques for Time Dependent Quantum Systems

H. R. Jauslin

subject

Nonlinear Sciences::Chaotic DynamicsOperator (physics)Quantum mechanicsQuasiperiodic functionSpectrum (functional analysis)Perturbation theoryConstant (mathematics)QuantumMathematicsMagnetic fieldSpin-½

description

We consider a spin 1/2 in constant magnetic field perturbed by a quasiperiodic time dependent magnetic field. We discuss its stability properties in terms of the spectrum of the corresponding quasienergy operator. Since the spectrum of the unperturbed problem is dense, there appear small denominators in the perturbation theory, corresponding to resonances. They are treated with a technique developped by L.H. Eliasson, based on a KAM iteration.

yearjournalcountryeditionlanguage
1995-01-01
https://doi.org/10.1007/978-94-011-0169-1_11