Exact, zero-energy, square-integrable solutions of a model related to the Maxwell's fish-eye problem
Journal Article
·
· Annals of Physics (New York)
A model, which admits normalizable wave functions of the Schroedinger equation at the energy of E = 0, is exactly solved and the solutions are compared to the corresponding classical trajectories. The wave functions are proved to be square-integrable for discrete (quantized) values of the coupling constant of the used potential. We also show that our model is a specific version of the well-known Maxwell's fish-eye. This is performed with the help of a suitably chosen conformal mapping.
- OSTI ID:
- 21336069
- Journal Information:
- Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 12 Vol. 324; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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