Indonesian Journal of Physics (IJP)
Vol 14 No 4 (2003): IJP Vol. 14 No. 4, October 2003

The Calogero-Moser Model Based On Doubly-Laced Lie Algebras

Alexander A. Iskandar (Department of Physics, Institut Teknologi Bandung Jl. Ganesa 10, Bandung 40132, INDONESIA)
I Nengah Artawan (Department of Physics, Universitas Udayana Kampus Bukit Jimbaran, Bali, INDONESIA)



Article Info

Publish Date
01 Oct 2003

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.

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Journal Info

Abbrev

ijp

Publisher

Subject

Astronomy Computer Science & IT Earth & Planetary Sciences Electrical & Electronics Engineering Energy Engineering

Description

Indonesian Journal of Physics welcomes full research articles in the area of Sciences and Engineering from the following subject areas: Physics, Mathematics, Astronomy, Mechanical Engineering, Civil and Structural Engineering, Chemical Engineering, Electrical Engineering, Geotechnical Engineering, ...