The Quantum Calogero-Moser Model

Algebraic Structures

Hideaki Ujino, Miki Wadati, Kazuhiro Hikami

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

For the quantum Calogero-Moser model, we construct a set of conserved operators and another set of operators, named boost operators, from its Lax operator. We prove that each conserved operator satisfies both the Lax equation and a remarkable relation named additional relation. From these knowledge, we show that the conserved operators are involutive. Moreover, the conserved operators and the boost operators constitute the U(l)-current algebra. All the proofs are simplified a great deal due to the Lax equations and additional relations.

Original languageEnglish
Pages (from-to)3035-3043
Number of pages9
Journaljournal of the physical society of japan
Volume62
Issue number9
DOIs
Publication statusPublished - Jan 1 1993

Fingerprint

operators
acceleration (physics)
current algebra

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

The Quantum Calogero-Moser Model : Algebraic Structures. / Ujino, Hideaki; Wadati, Miki; Hikami, Kazuhiro.

In: journal of the physical society of japan, Vol. 62, No. 9, 01.01.1993, p. 3035-3043.

Research output: Contribution to journalArticle

Ujino, Hideaki ; Wadati, Miki ; Hikami, Kazuhiro. / The Quantum Calogero-Moser Model : Algebraic Structures. In: journal of the physical society of japan. 1993 ; Vol. 62, No. 9. pp. 3035-3043.
@article{497eb3b61db74defb4ecb23d1765120d,
title = "The Quantum Calogero-Moser Model: Algebraic Structures",
abstract = "For the quantum Calogero-Moser model, we construct a set of conserved operators and another set of operators, named boost operators, from its Lax operator. We prove that each conserved operator satisfies both the Lax equation and a remarkable relation named additional relation. From these knowledge, we show that the conserved operators are involutive. Moreover, the conserved operators and the boost operators constitute the U(l)-current algebra. All the proofs are simplified a great deal due to the Lax equations and additional relations.",
author = "Hideaki Ujino and Miki Wadati and Kazuhiro Hikami",
year = "1993",
month = "1",
day = "1",
doi = "10.1143/JPSJ.62.3035",
language = "English",
volume = "62",
pages = "3035--3043",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "9",

}

TY - JOUR

T1 - The Quantum Calogero-Moser Model

T2 - Algebraic Structures

AU - Ujino, Hideaki

AU - Wadati, Miki

AU - Hikami, Kazuhiro

PY - 1993/1/1

Y1 - 1993/1/1

N2 - For the quantum Calogero-Moser model, we construct a set of conserved operators and another set of operators, named boost operators, from its Lax operator. We prove that each conserved operator satisfies both the Lax equation and a remarkable relation named additional relation. From these knowledge, we show that the conserved operators are involutive. Moreover, the conserved operators and the boost operators constitute the U(l)-current algebra. All the proofs are simplified a great deal due to the Lax equations and additional relations.

AB - For the quantum Calogero-Moser model, we construct a set of conserved operators and another set of operators, named boost operators, from its Lax operator. We prove that each conserved operator satisfies both the Lax equation and a remarkable relation named additional relation. From these knowledge, we show that the conserved operators are involutive. Moreover, the conserved operators and the boost operators constitute the U(l)-current algebra. All the proofs are simplified a great deal due to the Lax equations and additional relations.

UR - http://www.scopus.com/inward/record.url?scp=0042065840&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042065840&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.62.3035

DO - 10.1143/JPSJ.62.3035

M3 - Article

VL - 62

SP - 3035

EP - 3043

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 9

ER -