31 citations · 44 across the 3 of their papers we have counts for
3 papers · 1 filter
Bethe Ansatz in Quantum Mechanics. 2. Construction of Multi-Parameter Spectral Equations
Dieter Mayer, Alexander Ushveridze, Zbigniew Walczak
In this paper we propose a simple method for building exactly solvable multi-parameter spectral equations which in turn can be used for constructing completely integrable and exact…
Bender-Dunne Orthogonal Polynomials and Quasi-Exact Solvability
A. Krajewska, A. Ushveridze, Z. Walczak
The paper is devoted to the further study of the remarkable classes of orthogonal polynomials recently discovered by Bender and Dunne. We show that these polynomials can be generat…
On the Duality of Quasi-Exactly Solvable Problems
A. Krajewska, A. Ushveridze, Z. Walczak
It is demonstrated that quasi-exactly solvable models of quantum mechanics admit an interesting duality transformation which changes the form of their potentials and inverts the si…