Bound-State Problem in a One-Dimensional Cantor-like Potential
L. D. Almeida, F. Kokubun, D. Hadjimichef
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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