Wronskian-type formula for inhomogeneous TQ equations

Rafael I. Nepomechie

doi:10.1134/S004057792009007X

Wronskian-type formula for inhomogeneous TQ equations

Rafael I. Nepomechie

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

Abstract: It is known that the transfer-matrix eigenvalues of the isotropic open Heisenberg quantum spin-1/2 chain with nondiagonal boundary magnetic fields satisfy a TQ equation with an inhomogeneous term. We derive a discrete Wronskian-type formula relating a solution of this inhomogeneous TQ equation to the corresponding solution of a dual inhomogeneous TQ equation.

Original language	English (US)
Pages (from-to)	1195-1200
Number of pages	6
Journal	Theoretical and Mathematical Physics(Russian Federation)
Volume	204
Issue number	3
DOIs	https://doi.org/10.1134/S004057792009007X
State	Published - Sep 1 2020

Keywords

$TQ$ equation
Bethe ansatz
boundary integrability
discrete Wronskian

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1134/S004057792009007X

Cite this

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abstract = "Abstract: It is known that the transfer-matrix eigenvalues of the isotropic open Heisenberg quantum spin-1/2 chain with nondiagonal boundary magnetic fields satisfy a TQ equation with an inhomogeneous term. We derive 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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N2 - Abstract: It is known that the transfer-matrix eigenvalues of the isotropic open Heisenberg quantum spin-1/2 chain with nondiagonal boundary magnetic fields satisfy a TQ equation with an inhomogeneous term. We derive a discrete Wronskian-type formula relating a solution of this inhomogeneous TQ equation to the corresponding solution of a dual inhomogeneous TQ equation.

AB - Abstract: It is known that the transfer-matrix eigenvalues of the isotropic open Heisenberg quantum spin-1/2 chain with nondiagonal boundary magnetic fields satisfy a TQ equation with an inhomogeneous term. We derive 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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KW - Bethe ansatz

KW - boundary integrability

KW - discrete Wronskian

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JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

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IS - 3

ER -

Wronskian-type formula for inhomogeneous TQ equations

Abstract

Keywords

ASJC Scopus subject areas

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