Twisting singular solutions of Bethe's equations

Rafael I. Nepomechie; Chunguang Wang

doi:10.1088/1751-8113/47/50/505004

Twisting singular solutions of Bethe's equations

Rafael I. Nepomechie, Chunguang Wang

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

24 Scopus citations

Abstract

The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-de fined. We use a twist regularization to derive conditions for such singular solutions to be physical, in which case they correspond to genuine eigenvalues and eigenvectors of the Hamiltonian.

Original language	English (US)
Article number	505004
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	47
Issue number	50
DOIs	https://doi.org/10.1088/1751-8113/47/50/505004
State	Published - Dec 19 2014
Externally published	Yes

Keywords

Bethe ansatz
Quantum spin chain
Singular solutions

ASJC Scopus subject areas

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

Access to Document

10.1088/1751-8113/47/50/505004

Cite this

@article{c5e3eb891ee240afb007ea645308efce,

title = "Twisting singular solutions of Bethe's equations",

abstract = "The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-de fined. We use a twist regularization to derive conditions for such singular solutions to be physical, in which case they correspond to genuine eigenvalues and eigenvectors of the Hamiltonian.",

keywords = "Bethe ansatz, Quantum spin chain, Singular solutions",

author = "Nepomechie, {Rafael I.} and Chunguang Wang",

note = "Publisher Copyright: {\textcopyright} 2014 IOP Publishing Ltd.",

year = "2014",

month = dec,

day = "19",

doi = "10.1088/1751-8113/47/50/505004",

language = "English (US)",

volume = "47",

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

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "50",

}

TY - JOUR

T1 - Twisting singular solutions of Bethe's equations

AU - Nepomechie, Rafael I.

AU - Wang, Chunguang

PY - 2014/12/19

Y1 - 2014/12/19

N2 - The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-de fined. We use a twist regularization to derive conditions for such singular solutions to be physical, in which case they correspond to genuine eigenvalues and eigenvectors of the Hamiltonian.

AB - The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-de fined. We use a twist regularization to derive conditions for such singular solutions to be physical, in which case they correspond to genuine eigenvalues and eigenvectors of the Hamiltonian.

KW - Bethe ansatz

KW - Quantum spin chain

KW - Singular solutions

UR - http://www.scopus.com/inward/record.url?scp=84913572934&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84913572934&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/47/50/505004

DO - 10.1088/1751-8113/47/50/505004

M3 - Article

AN - SCOPUS:84913572934

VL - 47

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 50

M1 - 505004

ER -

Twisting singular solutions of Bethe's equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this