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.
|Number of pages
|Physical Review A - Atomic, Molecular, and Optical Physics
|Published - Jul 2002
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics