8-10 June 2016
Asia/Bangkok timezone

On the Lagrangian 1-Form Structure of the Hyperbolic Calogero-Moser System

Jun 8, 2016, 2:45 PM
15m
Room E1

Room E1

Oral presentaion Statistical and Theoretical Physics Session XI

Speaker

Umpon jairuks (Theoretical and Computational Physics Group, Department of Physics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Thailand)

Description

In this work, we present another example of the Lagrangian 1-form structure for the hy- perbolic Calogero-Moser system both in discrete-time level and continuous-time level. The discrete-time hyperbolic Calogero-Moser system is obtained by considering pole-reduction of the semi-discrete Kadomtsev-Petviashvili (KP) equation. The key relation called the discrete-time closure relation is directly obtained from the compatibility between the temporal Lax matrices. The continuous-time hierarchy of the hyperbolic Calogero-Moser system is obtained through two successive continuum limits. The continuous-time closure relation, which is a consequence of continuum limits on the discrete-time one, is also shown to hold.

Primary author

Umpon jairuks (Theoretical and Computational Physics Group, Department of Physics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Thailand)

Co-authors

Dr Monsit Tanasittikosol (Theoretical and Computational Physics (TCP) Group, Department of Physics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Thailand, 10140.) Dr Sikarin Yoo-Kong (Theoretical and Computational Science Center (TaCS), Faculty of Science, King Mongkut’s University of Technology Thonburi, Thailand, 10140. ∗ Ratchaburi Campus, King Mongkut’s University of Technology Thonburi, Thailand, 70510.)

Presentation materials

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