Exact bound states in volcano potentials
Quantum Physics
2008-11-26 v2 High Energy Physics - Theory
Abstract
Quantum mechanics in a one--parameter family of volcano potentials is investigated. After a discussion on their construction and classical mechanics, we obtain exact, normalisable bound states for specific values of the energy. The nature of the wave functions and probability densities, as well as some curious features of the solutions are highlighted.
Cite
@article{arxiv.quant-ph/0611068,
title = {Exact bound states in volcano potentials},
author = {Ratna Koley and Sayan Kar},
journal= {arXiv preprint arXiv:quant-ph/0611068},
year = {2008}
}
Comments
10 pages, 6 figures, to appear in Phys. Lett. A