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

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

1998-06-18

arxiv.org/abs/quant-ph/9806064v1

Physics

Quantum Physics

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

Scientific paper

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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