Factorization method and new potentials with the oscillator spectrum
- 1 December 1984
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 25 (12), 3387-3389
- https://doi.org/10.1063/1.526108
Abstract
A one-parameter family of potentials in one dimension is constructed with the energy spectrum coinciding with that of the harmonic oscillator. This is a new derivation of a class of potentials previously obtained by Abraham and Moses with the help of the Gelfand–Levitan formalism.Keywords
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