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Fractal Eigenfunctions in (Classically) Nonintegrable Hamiltonian Systems

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Published under licence by IOP Publishing Ltd
, , Citation R. Ramaswamy and S. Swaminathan 1987 EPL 4 127 DOI 10.1209/0295-5075/4/2/001

0295-5075/4/2/127

Abstract

Bound-state eigenfunctions for a (classically) nonintegrable two degrees of freedom Hamiltonian system are studied. Between the de Broglie wavelength and a localization length, the probability density has a statistically fractal structure in some eigenstates. This novel characterization of eigenstates is intrinsically basis-set and coordinate independent and might therefore provide an objective approach to the question of quantum-chaotic behaviour.

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10.1209/0295-5075/4/2/001