Higher Order Supersymmetric Truncated Oscillators
arXiv:1705.06297 · doi:10.1016/j.aop.2017.10.019
Abstract
We study the supersymmetric partners of the harmonic oscillator with an infinite potential barrier at the origin and obtain the conditions under which it is possible to add levels to the energy spectrum of these systems. It is found that instead of the usual rule for non-singular potentials, where the order of the transformation corresponds to the maximum number of levels which can be added, now it is the integer part of half the order of the transformation which gives the maximum number of levels to be created.
This article is a natural continuation of arXiv:1603.05173 and arXiv:1310.5628
References in corpus (2)
Cited by in corpus (4)
- Trends in supersymmetric quantum mechanics
- Coherent states for the supersymmetric partners of the truncated oscillator
- Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator
- Coherent states of the two-dimensional non-separable supersymmetric Morse potential