Journal of Nonlinear Mathematical Physics

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Volume 12, Issue Supplement 1, January 2005, Pages 395 - 403

The Eigenvectors of the Heisenberg Hamiltonian with Elliptic Form of the Exchange Spin Interaction

Authors
V.I. Inozemtsev
Corresponding Author
V.I. Inozemtsev
Available Online 1 January 2005.
DOI
10.2991/jnmp.2005.12.s1.32How to use a DOI?
Abstract

The eigenvectors of the Hamiltonian HN of N-site quantum spin chains with elliptic exchange are connected with the double Bloch meromorphic solutions of the quantum continuous elliptic Calogero-Moser problem. This fact allows one to find the eigenvetors via the solutions to the system of highly transcendental equations of Bethe-ansatz type which is presented in explicit form.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - Supplement 1
Pages
395 - 403
Publication Date
2005/01/01
ISBN
91-974824-3-9
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.s1.32How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - V.I. Inozemtsev
PY  - 2005
DA  - 2005/01/01
TI  - The Eigenvectors of the Heisenberg Hamiltonian with Elliptic Form of the Exchange Spin Interaction
JO  - Journal of Nonlinear Mathematical Physics
SP  - 395
EP  - 403
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.32
DO  - 10.2991/jnmp.2005.12.s1.32
ID  - Inozemtsev2005
ER  -