#TITLE_ALTERNATIVE#

• Main Author: Nengah Artawan (NIM:20299013), I
• Format: Theses
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/10670
• Institution: Institut Teknologi Bandung

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 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 /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> 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.