Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems

Kazuhiro Hikami

著者情報

キーワード: integrable system, inverse-square interaction, Yang-Baxter equation, reflection equation, root system, Hecke algebra, Dunkl operator, exclusion statistics

ジャーナル認証あり

1996 年 65 巻 2 号 p. 394-401

DOI https://doi.org/10.1143/jpsj.65.394

詳細

抄録

The integrable quantum many-body systems associated withthe classical root systems are formulated in terms of the(trigonometric) Dunkl operators.We define the Dunkl operators by use of the infinite-dimensionalrepresentation of the R and K matrices for the Yang-Baxterequation and the reflection equation.The eigenvalues of systems are also given.

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© The Physical Society of Japan 1996

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