Bound-State Problem in a One-Dimensional Cantor-like Potential

Physics – Quantum Physics

Scientific paper

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2 pages, 1 PS figure, LaTeX2e, to appear in the Proc. of VI Hadrons Physics, Florianopolis, Brazil, 1998, World Scientific

Type

Scientific paper

Abstract

One of the best systems for the study of quantum chaos is the atomic nucleus.
A confined particle with general boundary conditions can present chaos and the
eigenvalue problem can exhibit this fact. We study a toy model in which the
potential has a Cantor-like form. The eigenvalue spectrum presents a Devil's
staircase ordering in the semi-classical limit.

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