Add to ORKGWe show that symmetric polynomials previously introduced by the author satisfy a certain differential equation. After a change of variables, it can be written as a non-stationary Schrödinger equation with elliptic potential, which is closely related to the Knizhnik-Zamolodchikov-Bernard equation and to the canonical quantization of the Painlevé VI equation. In a subsequent paper, this will be used to construct a four-dimensional lattice of tau functions for Painlevé VI
The six Painlevé equations (PI–PVI) were first discovered about a hundred years ago by Painlevéand h...
The Lie symmetry analysis for the study of a 1+n fourth-order Schrödinger equation inspired by the m...
Several ways to embed q-deformed versions of the Heisenberg algebra into the classical algebra itsel...
We show that symmetric polynomials previously introduced by the author satisfy a certain differentia...
We introduce and study symmetric polynomials, which as very special cases include polynomials relate...
We prove that certain polynomials previously introduced by the author can be identified with tau fun...
We prove that certain polynomials previously introduced by the author can be identified with tau fun...
We study certain symmetric polynomials, which as very special cases include polynomials related to t...
For applications to quasi-exactly solvable Schrödinger equations in quantum mechanics, we consider t...
We construct two new exactly solvable potentials giving rise to bound-state solutions to the Schrödi...
We study the ground state eigenvalues of Baxter's Q-operator for the eight-vertex model in a special...
In these lecture notes we shall study first the supersymmetric quantum mechanics (SUSY QM), speciall...
Rational solutions and rational-oscillatory solutions of the defocusing nonlinear Schrödinger equati...
In this letter we establish a connection of Picard-type elliptic solutions of Painleve VI equation w...
The six Painleve equations (nonlinear ordinary differential equations of the second order with nonmo...
The six Painlevé equations (PI–PVI) were first discovered about a hundred years ago by Painlevéand h...
The Lie symmetry analysis for the study of a 1+n fourth-order Schrödinger equation inspired by the m...
Several ways to embed q-deformed versions of the Heisenberg algebra into the classical algebra itsel...
We show that symmetric polynomials previously introduced by the author satisfy a certain differentia...
We introduce and study symmetric polynomials, which as very special cases include polynomials relate...
We prove that certain polynomials previously introduced by the author can be identified with tau fun...
We prove that certain polynomials previously introduced by the author can be identified with tau fun...
We study certain symmetric polynomials, which as very special cases include polynomials related to t...
For applications to quasi-exactly solvable Schrödinger equations in quantum mechanics, we consider t...
We construct two new exactly solvable potentials giving rise to bound-state solutions to the Schrödi...
We study the ground state eigenvalues of Baxter's Q-operator for the eight-vertex model in a special...
In these lecture notes we shall study first the supersymmetric quantum mechanics (SUSY QM), speciall...
Rational solutions and rational-oscillatory solutions of the defocusing nonlinear Schrödinger equati...
In this letter we establish a connection of Picard-type elliptic solutions of Painleve VI equation w...
The six Painleve equations (nonlinear ordinary differential equations of the second order with nonmo...
The six Painlevé equations (PI–PVI) were first discovered about a hundred years ago by Painlevéand h...
The Lie symmetry analysis for the study of a 1+n fourth-order Schrödinger equation inspired by the m...
Several ways to embed q-deformed versions of the Heisenberg algebra into the classical algebra itsel...