Eur. Phys. J. Plus (2015) 130: 134
https://doi.org/10.1140/epjp/i2015-15134-1

Regular Article

Closed-form solutions and supersymmetric partners of the inverted Mathews-Lakshmanan oscillator

Department of Mathematics and Actuarial Science and Department of Physics, Indiana University Northwest, 3400 Broadway, 46408, Gary, IN, USA

^* e-mail: axgeschu@iun.edu

Received: 13 April 2015
Revised: 16 May 2015
Accepted: 20 May 2015
Published online: 20 July 2015

Abstract

We study an inverted version of the quantum Mathews-Lakshmanan oscillator. The system is shown to admit a discrete spectrum and an associated set of solutions, located in a weighted Hilbert space. We compare properties of the solutions with their counterparts for the conventional Mathews-Lakshmanan model. Furthermore, several supersymmetric partners of our system are constructed.