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Title: Rational extension and Jacobi-type X{sub m} solutions of a quantum nonlinear oscillator

We construct a rational extension of a recently studied nonlinear quantum oscillator model. Our extended model is shown to retain exact solvability, admitting a discrete spectrum and corresponding closed-form solutions that are expressed through Jacobi-type X{sub m} exceptional orthogonal polynomials.
Authors:
 [1] ;  [2]
  1. Department of Mathematics and Actuarial Science and Department of Physics, Indiana University Northwest, 3400 Broadway, Gary, Indiana 46408 (United States)
  2. Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108 (India)
Publication Date:
OSTI Identifier:
22217734
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; OSCILLATORS; POLYNOMIALS; SCHROEDINGER EQUATION