Two-parameter double-oscillator model of Mathews-Lakshmanan type: Series solutions and supersymmetric partners

摘要

We obtain series solutions, the discrete spectrum, and supersymmetric partners for a quantum double-oscillator system. Its potential features a superposition of the one-parameter Mathews-Lakshmanan interaction and a one-parameter harmonic or inverse harmonic oscillator contribution. Furthermore, our results are transferred to a generalized Poschl-Teller model that is isospectral to the double-oscillator system. (C) 2015 AIP Publishing LLC.