Quantum Chaos, Degeneracies and Exceptional Points

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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RevTeX with 4 figs. available from the authors; to appear in Phys.Rev.A

Scientific paper

10.1103/PhysRevE.52.4762

It is argued that, if a regular Hamiltonian is perturbed by a term that
produces chaos, the onset of chaos is shifted towards larger values of the
perturbation parameter if the unperturbed spectrum is degenerate and the
lifting of the degeneracy is of second order in this parameter. The argument is
based on the behaviour of the exceptional points of the full problem.

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