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abstract: <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> The Calogero-Moser model is an one-dimensional dynamical system associated with the root system of a Lie algebra. This model is in...
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| Main Author: | |
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/10670 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | abstract: <br />
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The Calogero-Moser model is an one-dimensional dynamical system associated with the root system of a Lie algebra. This model is integrable and its integrability is described through the Lax operator pair built in the simply-laced and non simply-laced Lie algebra root systems. The root system of a non simply-laced Lie algebra can obtained through folding symmetry of the simply-laced Lie algebra. <br />
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In this thesis, the new Lax operator pair is introduced for the Calogero-Moser model built in the root system of the non simply-laced Lie algebra, especially the B3, C3, and F4 Lie algebras. The canonical equation of motion derived from the Lax and Hamiltonian formalism are consistence. Explicitly, the Calogero-Moser model in the B2, B3, C3, C4, and F4 Lie algebra root systems are considered. |
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