Exact bound states in volcano potentials

Details Exact bound states in volcano potentials Exact bound states in volcano potentials

2006-11-07

arxiv.org/abs/quant-ph/0611068v2

Phys.Lett.A363:369-373,2007

Physics

Quantum Physics

10 pages, 6 figures, to appear in Phys. Lett. A

Scientific paper

10.1016/j.physleta.2006.11.031

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.

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