Result: Invariants of linear combinations of transpositions
Title:
Invariants of linear combinations of transpositions
Authors:
Source:
Letters in Mathematical Physics. 36:55-63
Publisher Information:
Springer Science and Business Media LLC, 1996.
Publication Year:
1996
Subject Terms:
completely integrable systems, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Elliptic functions and integrals, quantum mechanics, 0103 physical sciences, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Quantum equilibrium statistical mechanics (general), elliptic functions, 01 natural sciences
Document Type:
Academic journal
Article
File Description:
application/xml
Language:
English
ISSN:
1573-0530
0377-9017
0377-9017
DOI:
10.1007/bf00403251
Access URL:
Rights:
Springer TDM
Accession Number:
edsair.doi.dedup.....7e0246a542ce47a00c5f7c0ec6f7b9f9
Database:
OpenAIRE
Further Information
The paper is concerned with problems in model quantum field theories, here with the construction of operators which commute with the Hamiltonian, given by a linear combination of the operators of elementary transpositions. Further, the operators are represented with the help of Weierstraß elliptic functions. Those procedures can be applied to find invariants in the case of general elliptic interaction, they also give a direct proof of the integrability of the spin model (e.g., in the Heisenberg ferromagnet model) proposed by the author some years ago [J. Stat. Phys. 59, No. 5/6, 1143-1155 (1990; Zbl 0712.58034)].