0000000000422391

AUTHOR

H. R. Jauslin

showing 2 related works from this author

KAM Techniques for Time Dependent Quantum Systems

1995

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.

Nonlinear Sciences::Chaotic DynamicsOperator (physics)Quantum mechanicsQuasiperiodic functionSpectrum (functional analysis)Perturbation theoryConstant (mathematics)QuantumMathematicsMagnetic fieldSpin-½
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NUMERICAL IMPLEMENTATION OF A K.A.M. ALGORITHM

1993

We discuss a numerical implementation of a K.A.M. algorithm to determine invariant tori, for systems that are quadratic in the action variables. The method has the advantage that the iteration procedure does not produce higher order terms in the actions, allowing thus a systematic control of the convergence.

Quadratic equationComputational Theory and MathematicsGeneral Physics and AstronomyStatistical and Nonlinear PhysicsTorusInvariant (physics)AlgorithmMathematical PhysicsComputer Science ApplicationsMathematicsInternational Journal of Modern Physics C
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