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

Kazuhiro Hikami

doi:10.1143/JPSJ.65.394

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

Kazuhiro Hikami

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

60 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	394-401
Number of pages	8
Journal	Journal of the Physical Society of Japan
Volume	65
Issue number	2
DOIs	https://doi.org/10.1143/JPSJ.65.394
Publication status	Published - 1996
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1143/JPSJ.65.394

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abstract = "The integrable quantum many-body systems associated with the classical root systems are formulated in terms of the (trigonometric) Dunkl operators. We define the Dunkl operators by use of the infinite-dimensional representation of the R and K matrices for the Yang-Baxter equation and the reflection equation. The eigenvalues of systems are also given.",

author = "Kazuhiro Hikami",

year = "1996",

doi = "10.1143/JPSJ.65.394",

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

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AU - Hikami, Kazuhiro

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

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JF - Journal of the Physical Society of Japan

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

Abstract

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