Factorization method and new potentials with the oscillator spectrum

1984337 citationsJournal Article

Authors

Bogdan Mielnik · Centro de Investigación en Materiales Avanzados

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.

Topics & Keywords

Quantum Mechanics and Non-Hermitian Physics Quantum chaos and dynamical systems Nonlinear Photonic Systems

UN Sustainable Development Goals

Affordable and clean energy

Publication Details

Published in: Journal of Mathematical Physics

Volume 25, Issue 12, pp. 3387-3389

DOI: 10.1063/1.526108

Field-Weighted Citation Impact: 2.67