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Towards the proof of complete integrability of quantum elliptic many-body systems with spin degrees of freedom

SYSNO ASEP	0323242
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Towards the proof of complete integrability of quantum elliptic many-body systems with spin degrees of freedom
Title	K důkazu úplné integrability kvantového elliptického mnohočásticového systému se spinovými stupni volnosti
Author(s)	Dittrich, Jaroslav (UJF-V)_{RID, ORCID, SAI} Inozemtsev, V. I. (RU)
Number of authors	2
Source Title	Regular & Chaotic Dynamics - ISSN 1560-3547 Roč. 14, č. 2 (2009), s. 218-222
Number of pages	5 s.
Language	eng - English
Country	RU - Russian Federation
Keywords	quantum elliptic spin system ; transposition ; integrability
Subject RIV	BE - Theoretical Physics
R&D Projects	LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
	LA08002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
CEZ	AV0Z10480505 - UJF-V (2005-2011)
UT WOS	000265045900002
DOI	10.1134/S1560354709020026
Annotation	We consider the problem of finding integrals of motion for quantum elliptic Calogero-Moser systems with arbitrary number of particles extended by introducing spin-exchange interaction. By direct calculation, after making certain ansatz, we found first two integrals - quite probably, lowest nontrivial members of the whole commutative ring. This result might be considered as the first step in the constructing this ring of the operators which commute with the Hamiltonian of the model.
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2009

Number of the records: 1