The quantum discrete self-trapping equation with three degrees of freedom is investigated. Numerically evaluated eigenvalues are shown to exhibit the avoided-crossing phenomenon. The nearest-neighbour level spacing distributions for symmetric states corresponding to three particular choices of parameter values are shown to be consistent with a semiclassical conjecture by Berry and Robnik (1984).

Avoided crossing and nearest-neighbour level spacings for the quantum DST equation

DE FILIPPO, Sergio;FUSCO GIRARD, Mario;SALERNO, Mario
1989-01-01

Abstract

The quantum discrete self-trapping equation with three degrees of freedom is investigated. Numerically evaluated eigenvalues are shown to exhibit the avoided-crossing phenomenon. The nearest-neighbour level spacing distributions for symmetric states corresponding to three particular choices of parameter values are shown to be consistent with a semiclassical conjecture by Berry and Robnik (1984).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/3018910
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