Dynamical Stability of Quantum "Chaotic" Motion in a Hydrogen Atom
Giulio CasatiInstitute of Nuclear Physics, 630090 Novosibirsk, Union of Soviet Socialist RepublicsB. V. ChirikovInstitute of Nuclear Physics, 630090 Novosibirsk, Union of Soviet Socialist RepublicsItalo GuarneriInstitute of Nuclear Physics, 630090 Novosibirsk, Union of Soviet Socialist RepublicsDima L. ShepelyanskyInstitute of Nuclear Physics, 630090 Novosibirsk, Union of Soviet Socialist Republics
ABI
Abstract
A simple numerical reversibility test which proves useful in exposing the chaotic nature of classical dynamical systems is applied to the quantum model of a hydrogen atom in a microwave field. The remarkable result is that, in spite of some apparent chaotic features, the quantum motion proves to be perfectly stable in contrast to the high instability of the classical chaotic motion.
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