Rational extension and Jacobi-type {boldmath{X_m}} solutions of a quantum nonlinear oscillator
classification
🧮 math-ph
math.MPquant-ph
keywords
extensionjacobi-typemodelnonlinearoscillatorquantumrationalsolutions
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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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