Bound states for square well potentials extending to infinity in \(D\geq2\). (English) Zbl 0795.47044
The author gives an example of potential for which a classical particle could move freely to infinity, while the quantum one has at least one bound state.
This interesting quantum effect is an illustration of the “anti- tunneling” phenomenon: classically allowed regions are forbidden for the quantum particles in the ground state.
This interesting quantum effect is an illustration of the “anti- tunneling” phenomenon: classically allowed regions are forbidden for the quantum particles in the ground state.
Reviewer: V.Zagrebnov (Marseille)
MSC:
| 47N50 | Applications of operator theory in the physical sciences |
| 81Q10 | Selfadjoint operator theory in quantum theory, including spectral analysis |
Keywords:
quantum particle; anti-tunneling; potential; classical particle; bound state; quantum effect; classically allowed regions are forbidden for the quantum particles in the ground stateReferences:
| [1] | DOI: 10.1016/0003-4916(76)90038-5 · Zbl 0325.35029 · doi:10.1016/0003-4916(76)90038-5 |
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