Construction of the Quantum Integrable Equations on Space-Time Lattice Based on the Lattice W Algebra

Rei Inoue; Kazuhiro Hikami

doi:10.1143/JPSJ.67.1163

Construction of the Quantum Integrable Equations on Space-Time Lattice Based on the Lattice W Algebra

Rei Inoue, Kazuhiro Hikami

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We study the dynamical system on the space-time lattice based on solutions of the Yang-Baxter equation. We construct the quantum integrable difference-difference equations associated with the lattice W_N algebra. The classical lattice system and its time continuous limit are also discussed.

Original language	English
Pages (from-to)	1163-1174
Number of pages	12
Journal	Journal of the Physical Society of Japan
Volume	67
Issue number	4
DOIs	https://doi.org/10.1143/JPSJ.67.1163
Publication status	Published - 1998
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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title = "Construction of the Quantum Integrable Equations on Space-Time Lattice Based on the Lattice W Algebra",

abstract = "We study the dynamical system on the space-time lattice based on solutions of the Yang-Baxter equation. We construct the quantum integrable difference-difference equations associated with the lattice WN algebra. The classical lattice system and its time continuous limit are also discussed.",

author = "Rei Inoue and Kazuhiro Hikami",

year = "1998",

doi = "10.1143/JPSJ.67.1163",

language = "English",

volume = "67",

pages = "1163--1174",

journal = "Journal of the Physical Society of Japan",

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publisher = "Physical Society of Japan",

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AU - Inoue, Rei

AU - Hikami, Kazuhiro

PY - 1998

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N2 - We study the dynamical system on the space-time lattice based on solutions of the Yang-Baxter equation. We construct the quantum integrable difference-difference equations associated with the lattice WN algebra. The classical lattice system and its time continuous limit are also discussed.

AB - We study the dynamical system on the space-time lattice based on solutions of the Yang-Baxter equation. We construct the quantum integrable difference-difference equations associated with the lattice WN algebra. The classical lattice system and its time continuous limit are also discussed.

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U2 - 10.1143/JPSJ.67.1163

DO - 10.1143/JPSJ.67.1163

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JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 4

ER -

Construction of the Quantum Integrable Equations on Space-Time Lattice Based on the Lattice W Algebra

Abstract

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