Wronskian-type formula for inhomogeneous TQ-equations
Rafael I. Nepomechie
TL;DR
This paper derives a discrete Wronskian-type formula linking solutions of inhomogeneous TQ-equations for the eigenvalues of the open Heisenberg spin chain with non-diagonal boundary fields, advancing the analytical understanding of such models.
Contribution
It introduces a novel Wronskian-type relation connecting solutions of dual inhomogeneous TQ-equations in integrable quantum spin chains.
Findings
Provides a new analytical tool for solving inhomogeneous TQ-equations.
Enhances understanding of eigenvalue problems in open quantum spin chains.
Facilitates future analytical and numerical studies of boundary effects.
Abstract
The transfer-matrix eigenvalues of the isotropic open Heisenberg quantum spin-1/2 chain with non-diagonal boundary magnetic fields are known to satisfy a TQ-equation with an inhomogeneous term. We derive here a discrete Wronskian-type formula relating a solution of this inhomogeneous TQ-equation to the corresponding solution of a dual inhomogeneous TQ-equation.
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