output
20112024
most citedSIESTA: recent developments and applications

544 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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math-ph2015★ 20 cited

Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials

Yves Grandati, Christiane Quesne

We construct rational extensions of the Darboux-Pöschl-Teller and isotonic potentials via two-step confluent Darboux transformations. The former are strictly isospectral to the ini…

math-ph2014★ 1 cited

Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials

B. Bagchi, Y. Grandati, C. Quesne

The possibility for the Jacobi equation to admit in some cases general solutions that are polynomials has been recently highlighted by Calogero and Yi, who termed them para-Jacobi…

math-ph2013★ 6 cited

Exceptional orthogonal polynomials and generalized Schur polynomials

Yves Grandati

We show that the exceptional orthogonal polynomials can be viewed as confluent limits of the generalized Schur polynomials introduced by Sergeev and Veselov.

math-ph2013★ 178 cited

Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials

David Gomez-Ullate, Yves Grandati, Robert Milson

We prove that every rational extension of the quantum harmonic oscillator that is exactly solvable by polynomials is monodromy free, and therefore can be obtained by applying a fin…

math-ph2012★ 39 cited

New rational extensions of solvable potentials with finite bound state spectrum

Yves Grandati

Using the disconjugacy properties of the Schrödinger equation, it is possible to develop a new type of generalized SUSY QM partnership which allows to generate new solvable rationa…