Factorization method and new potentials with the oscillator spectrum

Bogdan Mielnik

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.

DOI: https://doi.org/10.1063/1.526108