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Rational extension and Jacobi-type {\boldmath{$X_m$}} solutions of a quantum nonlinear oscillator (1311.5333v1)
Published 21 Nov 2013 in math-ph, math.MP, and quant-ph
Abstract: 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 $X_m$ exceptional orthogonal polynomials.
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