Bound states in bottomless potentials

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3 Scopus citations


The classical and quantum dynamics on potentials that are asymptotically unbounded were discussed. It was found that quantum bound states existed in certain bottomless potentials. It was found that only a set of zero measure of classical trajectories can escape to infinity. Dissipative effects can bring a particle into its ground state.

Original languageEnglish (US)
Article number014104
Pages (from-to)141041-141042
Number of pages2
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number1
StatePublished - Jul 2002
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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