Q-systems with boundary parameters

Rafael I. Nepomechie

doi:10.1088/1751-8121/ab9386

Q-systems with boundary parameters

Rafael I. Nepomechie

Physics

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

2 Scopus citations

Abstract

Q-systems provide an efficient way of solving Bethe equations. We formulate here Q-systems for both the isotropic and anisotropic open Heisenberg quantum spin-1/2 chains with diagonal boundary magnetic fields. We check these Q-systems using novel discrete Wronskian-type formulas (relating the fundamental Q-function and its dual) that involve the boundary parameters.

Original language	English (US)
Article number	294001
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	53
Issue number	29
DOIs	https://doi.org/10.1088/1751-8121/ab9386
State	Published - Jul 24 2020

Keywords

Bethe ansatz
Wronskian
boundary integrability
duality

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
Physics and Astronomy(all)

Access to Document

10.1088/1751-8121/ab9386

Fingerprint Dive into the research topics of 'Q-systems with boundary parameters'. Together they form a unique fingerprint.

Cite this

@article{4f8e4fe3e70c466fa5960cbbedf35360,

title = "Q-systems with boundary parameters",

abstract = "Q-systems provide an efficient way of solving Bethe equations. We formulate here Q-systems for both the isotropic and anisotropic open Heisenberg quantum spin-1/2 chains with diagonal boundary magnetic fields. We check these Q-systems using novel discrete Wronskian-type formulas (relating the fundamental Q-function and its dual) that involve the boundary parameters. ",

keywords = "Bethe ansatz, Wronskian, boundary integrability, duality",

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

year = "2020",

month = jul,

day = "24",

doi = "10.1088/1751-8121/ab9386",

language = "English (US)",

volume = "53",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "29",

}

TY - JOUR

T1 - Q-systems with boundary parameters

AU - Nepomechie, Rafael I.

PY - 2020/7/24

Y1 - 2020/7/24

N2 - Q-systems provide an efficient way of solving Bethe equations. We formulate here Q-systems for both the isotropic and anisotropic open Heisenberg quantum spin-1/2 chains with diagonal boundary magnetic fields. We check these Q-systems using novel discrete Wronskian-type formulas (relating the fundamental Q-function and its dual) that involve the boundary parameters.

AB - Q-systems provide an efficient way of solving Bethe equations. We formulate here Q-systems for both the isotropic and anisotropic open Heisenberg quantum spin-1/2 chains with diagonal boundary magnetic fields. We check these Q-systems using novel discrete Wronskian-type formulas (relating the fundamental Q-function and its dual) that involve the boundary parameters.

KW - Bethe ansatz

KW - Wronskian

KW - boundary integrability

KW - duality

UR - http://www.scopus.com/inward/record.url?scp=85088574185&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85088574185&partnerID=8YFLogxK

U2 - 10.1088/1751-8121/ab9386

DO - 10.1088/1751-8121/ab9386

M3 - Article

AN - SCOPUS:85088574185

VL - 53

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 29

M1 - 294001

ER -