On two direct limits relating pseudo-Jacobi polynomials to  Hermite polynomials and the pseudo-Jacobi oscillator in a homogeneous gravitational field

We show that a recently proposed oscillator-shaped quantum well model associated with a position-dependent mass can be solved by applying a point canonical transformation to the constant-mass Schrödinger equation for the Scarf I potential. On using the known rational extension of the latter connected with X 1 -Jacobi exceptional orthogonal polynomials, we build a rationally-extended position-dependent mass model with the same spectrum as the starting one. Some more involved position-dependent mass models associated with X 2 -Jacobi exceptional orthogonal polynomials are also considered.

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On two direct limits relating pseudo-Jacobi polynomials to Hermite polynomials and the pseudo-Jacobi oscillator in a homogeneous gravitational field

Cited by 5 publications

References 26 publications

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