4 papers
Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation
Farrokh Atai, Edwin Langmann
We use generalized kernel functions to construct explicit solutions by integrals of the non-stationary Schrödinger equation for the Hamiltonian of the elliptic Calogero-Sutherland…
Source identities and kernel functions for the deformed Koornwinder-van Diejen models
F. Atai
We consider generalizations of the -type relativistic Calogero-Moser-Sutherland models, comprising of the rational, trigonometric, hyperbolic, and elliptic cases, due to Koornw…
Orthogonality of super-Jack polynomials and a Hilbert space interpretation of deformed Calogero-Moser-Sutherland operators
Farrokh Atai, Martin Hallnäs, Edwin Langmann
We prove orthogonality and compute explicitly the (quadratic) norms for super-Jack polynomials with respect to a natural positive semi-d…
Integral representation of solution to the non-stationary Lamé equation
Farrokh Atai
We consider methods for constructing explicit solutions of the non-stationary Lamé equation, which is a generalization of the classical Lamé equation, that has appeared in works on…