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Alexander A. Iskandar
Department of Physics, Institut Teknologi Bandung Jl. Ganesa 10, Bandung 40132, INDONESIA
Astronomy Computer Science & IT Earth & Planetary Sciences Electrical & Electronics Engineering Energy Engineering

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The Calogero-Moser Model Based On Doubly-Laced Lie Algebras Alexander A. Iskandar; I Nengah Artawan
Indonesian Journal of Physics Vol 14 No 4 (2003): IJP Vol. 14 No. 4, October 2003
Publisher : Institut Teknologi Bandung

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Abstract

The Calogero-Moser model is an one-dimensional dynamical system that describes N pairwise interacting particles on a line with nonlinear interaction potentials. These potentials are associated with the root system of the Simple Lie Algebras. The Calogero-Moser model is integrable, and its integrability is describe through the Lax pair operators built in the root system of the associated Lie algebra. In the present work, a new Lax pair operator for the Calogero-Moser model based on the Doubly Simply-Laced Lie algebras is presented. It is shown that the canonical equation of motion obtained from the Lax pair formulation and from the Hamiltonian formulation are consistent.
Co-Authors I Nengah Artawan