Construction of reflectionless potentials with infinite discrete spectrum
Abstract
We investigate the one-dimensional Schrödinger operator. The condition that the potential be self-similar under Darboux transformation leads to transparent potentials with infinitely many eigenvalues.
- Publication:
-
Theoretical and Mathematical Physics
- Pub Date:
- August 1994
- DOI:
- 10.1007/BF01016760
- Bibcode:
- 1994TMP...100..970D