The Hamiltonian structure of the Bogoyavlensky lattice

Kazuhiro Hikami, Rei Inoue

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We study the Hamiltonian structure of the Bogoyavlensky lattice, which is an integrable differential-difference equation and is a generalization of the Volterra model. We construct the lattice W algebras by use of the dynamical variables of the Bogoyavlensky lattice, and also show the bi-Hamiltonian structure thereof. The quantization of the lattice W algebras is briefly discussed.

Original languageEnglish
Pages (from-to)776-783
Number of pages8
JournalJournal of the Physical Society of Japan
Volume68
Issue number3
DOIs
Publication statusPublished - Jan 1 1999
Externally publishedYes

Fingerprint

algebra
difference equations

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

The Hamiltonian structure of the Bogoyavlensky lattice. / Hikami, Kazuhiro; Inoue, Rei.

In: Journal of the Physical Society of Japan, Vol. 68, No. 3, 01.01.1999, p. 776-783.

Research output: Contribution to journalArticle

@article{2e06bfe414af4d67a066db9eeaccae90,
title = "The Hamiltonian structure of the Bogoyavlensky lattice",
abstract = "We study the Hamiltonian structure of the Bogoyavlensky lattice, which is an integrable differential-difference equation and is a generalization of the Volterra model. We construct the lattice W algebras by use of the dynamical variables of the Bogoyavlensky lattice, and also show the bi-Hamiltonian structure thereof. The quantization of the lattice W algebras is briefly discussed.",
author = "Kazuhiro Hikami and Rei Inoue",
year = "1999",
month = "1",
day = "1",
doi = "10.1143/JPSJ.68.776",
language = "English",
volume = "68",
pages = "776--783",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "3",

}

TY - JOUR

T1 - The Hamiltonian structure of the Bogoyavlensky lattice

AU - Hikami, Kazuhiro

AU - Inoue, Rei

PY - 1999/1/1

Y1 - 1999/1/1

N2 - We study the Hamiltonian structure of the Bogoyavlensky lattice, which is an integrable differential-difference equation and is a generalization of the Volterra model. We construct the lattice W algebras by use of the dynamical variables of the Bogoyavlensky lattice, and also show the bi-Hamiltonian structure thereof. The quantization of the lattice W algebras is briefly discussed.

AB - We study the Hamiltonian structure of the Bogoyavlensky lattice, which is an integrable differential-difference equation and is a generalization of the Volterra model. We construct the lattice W algebras by use of the dynamical variables of the Bogoyavlensky lattice, and also show the bi-Hamiltonian structure thereof. The quantization of the lattice W algebras is briefly discussed.

UR - http://www.scopus.com/inward/record.url?scp=0033456547&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033456547&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.68.776

DO - 10.1143/JPSJ.68.776

M3 - Article

AN - SCOPUS:0033456547

VL - 68

SP - 776

EP - 783

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 3

ER -