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math-ph2002★ 1 cited
Strictly nilpotent elements and bispectral operators in the Weyl algebra
Emil Horozov
In this paper we give another characterization of the strictly nilpotent elements in the Weyl algebra, which (apart from the polynomials) turn out to be all bispectral operators wi…
math-ph1998
Darboux Transformations of Bispectral Quantum Integrable Systems
Emil Horozov, Alex Kasman
We present an approach to higher dimensional Darboux transformations suitable for application to quantum integrable systems and based on the bispectral property of partial differen…