Eur. Phys. J. Plus (2018) 133: 102
https://doi.org/10.1140/epjp/i2018-11927-x

Regular Article

Higher-order supersymmetric partners of generalized quantum nonlinear oscillators

¹ Department of Mathematics and Actuarial Science and Department of Physics, Indiana University Northwest, 3400 Broadway, 46408, Gary, IN, USA
² Physics and Applied Mathematics Unit, Indian Statistical Institute, 700108, Kolkata, India

^* e-mail: axgeschu@iun.edu

Received: 29 October 2017
Accepted: 9 February 2018
Published online: 13 March 2018

Abstract

We apply an extended version of the quantum-mechanical supersymmetry (SUSY) formalism to a generalized quantum nonlinear oscillator model. Considering both the standard and the inverted version of quantum nonlinear oscillator, we use SUSY transformations of various orders to generate partner systems, focusing on regular potentials and spectral modifications.