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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title = "Wronskian-type formula for inhomogeneous TQ equations",

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.",

keywords = "$TQ$ equation, Bethe ansatz, boundary integrability, discrete Wronskian",

author = "Nepomechie, {Rafael I.}",

note = "Funding Information: This research was supported in part by a Cooper fellowship. ",

year = "2020",

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doi = "10.1134/S004057792009007X",

language = "English (US)",

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T1 - Wronskian-type formula for inhomogeneous TQ equations

AU - Nepomechie, Rafael I.

N1 - Funding Information: This research was supported in part by a Cooper fellowship.

PY - 2020/9/1

Y1 - 2020/9/1

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.

KW - $TQ$ equation

KW - Bethe ansatz

KW - boundary integrability

KW - discrete Wronskian

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DO - 10.1134/S004057792009007X

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EP - 1200

JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

SN - 0040-5779

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ER -