The overlapping of nonlinear resonances and problem of quantum chaos
Chaotic Dynamics
2009-11-10 v1
Abstract
The motion of a nonlinearly oscilating partical under the influence of a periodic sequence of short impulses is investigated. We analyze the Schrodinger equation for the universal Hamiltonian. The idea about the emerging of quantum chaos due to the adiabatic motion along the curves of Mathieu characteristics at multiple passages through the points of branching is advanced
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Cite
@article{arxiv.nlin/0406015,
title = {The overlapping of nonlinear resonances and problem of quantum chaos},
author = {A. Ugulava and L. Chotorlishvili and K. Nickoladze},
journal= {arXiv preprint arXiv:nlin/0406015},
year = {2009}
}
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11 figures