Non-linear Integral Equations and Determinant Formulae of the Open XXZ Spin Chain

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

Authors

  • Alexander Seel
  • Tobias Wirth

Research Organisations

View graph of relations

Details

Original languageEnglish
Article number115202
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number11
Publication statusPublished - 18 Feb 2009

Abstract

We derive a non-linear integral equation for the Bethe-ansatz solvable open XXZ spin chain of arbitrary length describing the lowest lying state with zero magnetization. For this case we show how to combine the integral representation with the known determinant formula of norms and scalar products.

Keywords

    math-ph, math.MP

Cite this

Non-linear Integral Equations and Determinant Formulae of the Open XXZ Spin Chain. / Seel, Alexander; Wirth, Tobias.
In: Journal of Physics A: Mathematical and Theoretical, Vol. 42, No. 11, 115202, 18.02.2009.

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

Seel, A & Wirth, T 2009, 'Non-linear Integral Equations and Determinant Formulae of the Open XXZ Spin Chain', Journal of Physics A: Mathematical and Theoretical, vol. 42, no. 11, 115202. https://doi.org/10.1088/1751-8113/42/11/115202
Seel, A., & Wirth, T. (2009). Non-linear Integral Equations and Determinant Formulae of the Open XXZ Spin Chain. Journal of Physics A: Mathematical and Theoretical, 42(11), Article 115202. https://doi.org/10.1088/1751-8113/42/11/115202
Seel A, Wirth T. Non-linear Integral Equations and Determinant Formulae of the Open XXZ Spin Chain. Journal of Physics A: Mathematical and Theoretical. 2009 Feb 18;42(11):115202. doi: 10.1088/1751-8113/42/11/115202
Seel, Alexander ; Wirth, Tobias. / Non-linear Integral Equations and Determinant Formulae of the Open XXZ Spin Chain. In: Journal of Physics A: Mathematical and Theoretical. 2009 ; Vol. 42, No. 11.
Download
@article{3bd6745238884201b30d1395cc0c4e18,
title = "Non-linear Integral Equations and Determinant Formulae of the Open XXZ Spin Chain",
abstract = " We derive a non-linear integral equation for the Bethe-ansatz solvable open XXZ spin chain of arbitrary length describing the lowest lying state with zero magnetization. For this case we show how to combine the integral representation with the known determinant formula of norms and scalar products. ",
keywords = "math-ph, math.MP",
author = "Alexander Seel and Tobias Wirth",
year = "2009",
month = feb,
day = "18",
doi = "10.1088/1751-8113/42/11/115202",
language = "English",
volume = "42",
number = "11",

}

Download

TY - JOUR

T1 - Non-linear Integral Equations and Determinant Formulae of the Open XXZ Spin Chain

AU - Seel, Alexander

AU - Wirth, Tobias

PY - 2009/2/18

Y1 - 2009/2/18

N2 - We derive a non-linear integral equation for the Bethe-ansatz solvable open XXZ spin chain of arbitrary length describing the lowest lying state with zero magnetization. For this case we show how to combine the integral representation with the known determinant formula of norms and scalar products.

AB - We derive a non-linear integral equation for the Bethe-ansatz solvable open XXZ spin chain of arbitrary length describing the lowest lying state with zero magnetization. For this case we show how to combine the integral representation with the known determinant formula of norms and scalar products.

KW - math-ph

KW - math.MP

U2 - 10.1088/1751-8113/42/11/115202

DO - 10.1088/1751-8113/42/11/115202

M3 - Article

VL - 42

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 11

M1 - 115202

ER -