Generalized quantum nonlinear oscillators: Exact solutions and rational extensions

Authors

Axel Schulze-Halberg, Indiana University Northwest
Barnana Roy, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Journal of Mathematical Physics

Abstract

We construct exact solutions and rational extensions to quantum systems of generalized nonlinear oscillators. Our method is based on a connection between nonlinear oscillator systems and Schr�dinger models for certain hyperbolic potentials. The rationally extended models admit discrete spectrums and corresponding closed form solutions are expressed through Jacobi type Xm exceptional orthogonal polynomials.

DOI

10.1063/1.4965226

Publication Date

10-1-2016

Recommended Citation

Schulze-Halberg, Axel and Roy, Barnana, "Generalized quantum nonlinear oscillators: Exact solutions and rational extensions" (2016). Journal Articles. 4224.
https://digitalcommons.isical.ac.in/journal-articles/4224