Exact bound states in volcano potentials
arXiv:quant-ph/0611068 · doi:10.1016/j.physleta.2006.11.031
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.
10 pages, 6 figures, to appear in Phys. Lett. A
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Cited by in corpus (6)
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- Self-Adjoint Extensions of the Hamiltonian Operator with Symmetric Potentials which are Unbounded from Below
- Splitting of degenerate states in one-dimensional quantum mechanics
- Quantum dynamics from fixed points and their stability