Abstract
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 language | English (US) |
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Article number | 014104 |
Pages (from-to) | 141041-141042 |
Number of pages | 2 |
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 66 |
Issue number | 1 |
State | Published - Jul 2002 |
Externally published | Yes |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics