The overlapping of nonlinear resonances and problem of quantum chaos

Details The overlapping of nonlinear resonances and problem of quantum chaos The overlapping of nonlinear resonances and problem of quantum chaos

2004-06-09

arxiv.org/abs/nlin/0406015v1

Phys.Rev.E 68, 026216 (2003)

Nonlinear Sciences

Chaotic Dynamics

11 figures

Scientific paper

10.1103/PhysRevE.68.026216

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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