THE HUNGRY-VOLTERRA MODEL - THE CLASSICAL AND QUANTUM INTEGRABLE STRUCTURES

Authors
INOUE R HIKAMI K
Citation
R. Inoue et K. Hikami, THE HUNGRY-VOLTERRA MODEL - THE CLASSICAL AND QUANTUM INTEGRABLE STRUCTURES, Journal of the Physical Society of Japan, 67(1), 1998, pp. 87-92
Citations number
23
Categorie Soggetti
Physics
Journal title
Journal of the Physical Society of Japan → ACNP
ISSN journal
00319015
Volume
67
Issue
1
Year of publication
1998
Pages
87 - 92
Database
ISI
SICI code
0031-9015(1998)67:1<87:THM-TC>2.0.ZU;2-F
Abstract
An extension of the Lotka-Volterra model, which we call the hungry-Vol terra model or the Bogoyavlensky lattice, is studied. We show that the model is integrable in both classical and quantum levels by use of th e local Lax matrix. The relationship between the Lotka-Volterra model and some integrable systems is briefly discussed.