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

Quantum Physics 2009-09-25 v1

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.

Keywords

Cite

@article{arxiv.quant-ph/9806064,
  title  = {Bound-State Problem in a One-Dimensional Cantor-like Potential},
  author = {L. D. Almeida and F. Kokubun and D. Hadjimichef},
  journal= {arXiv preprint arXiv:quant-ph/9806064},
  year   = {2009}
}

Comments

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