Integrable three-body problems with two- and three-body interactions

Yasushi Komori; Kazuhiro Hikami

doi:10.1088/0305-4470/30/6/017

Integrable three-body problems with two- and three-body interactions

Yasushi Komori, Kazuhiro Hikami

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

1 Citation (Scopus)

Abstract

Spin generalizations of both the elliptic Calogero-Marchioro-Wolfes model and the nonlinear Schrödinger model are studied. These models are three-body problems with two- and three-body potentials, and mathematically related with the exceptional root system of type 6₂. We construct the integrable differential-difference operator, the so-called Dunkl operator, based on the infinite-dimensional representation for solutions of the variant of the classical Yang-Baxter equation. By use of these operators, we investigate the integrability and the scattering matrices.

Original language	English
Pages (from-to)	1913-1923
Number of pages	11
Journal	Journal of Physics A: Mathematical and General
Volume	30
Issue number	6
DOIs	https://doi.org/10.1088/0305-4470/30/6/017
Publication status	Published - Mar 21 1997
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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10.1088/0305-4470/30/6/017

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abstract = "Spin generalizations of both the elliptic Calogero-Marchioro-Wolfes model and the nonlinear Schr{\"o}dinger model are studied. These models are three-body problems with two- and three-body potentials, and mathematically related with the exceptional root system of type 62. We construct the integrable differential-difference operator, the so-called Dunkl operator, based on the infinite-dimensional representation for solutions of the variant of the classical Yang-Baxter equation. By use of these operators, we investigate the integrability and the scattering matrices.",

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year = "1997",

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AU - Hikami, Kazuhiro

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N2 - Spin generalizations of both the elliptic Calogero-Marchioro-Wolfes model and the nonlinear Schrödinger model are studied. These models are three-body problems with two- and three-body potentials, and mathematically related with the exceptional root system of type 62. We construct the integrable differential-difference operator, the so-called Dunkl operator, based on the infinite-dimensional representation for solutions of the variant of the classical Yang-Baxter equation. By use of these operators, we investigate the integrability and the scattering matrices.

AB - Spin generalizations of both the elliptic Calogero-Marchioro-Wolfes model and the nonlinear Schrödinger model are studied. These models are three-body problems with two- and three-body potentials, and mathematically related with the exceptional root system of type 62. We construct the integrable differential-difference operator, the so-called Dunkl operator, based on the infinite-dimensional representation for solutions of the variant of the classical Yang-Baxter equation. By use of these operators, we investigate the integrability and the scattering matrices.

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Integrable three-body problems with two- and three-body interactions

Abstract

All Science Journal Classification (ASJC) codes

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