16–20 Jun 2025
Europe/Budapest timezone

Calogero-Moser and Ruijsenaars-Schneider models

Not scheduled
30m
Eötvös Room, Northern Building

Eötvös Room, Northern Building

Eötvös Lorand University, Faculty of Science, Budapest Pázmány Péter stny. 1/A, 1117
20 Min Talk Participants Talks

Speaker

Apor Roth (Eötvös Loránd University)

Description

In the first part of the talk we will investigate the finite-volume spectra the nonrelativistic Calogero-Moser quantum systems, which can be solved analytically. We will compare the analytically calculated spectra from the finite-volume Calogero-Moser systems to the wavenumbers obtained from the corresponding Bethe ansatz equations. The eigenstates are also calculated numerically using the truncated Hilbert space method.
After that, the Ruijsenaars-Scheider models will be presented, which are the relativistic counterparts of the Calogero-Moser systems. The trigonometric Ruijsenaars-Schneider model can also be solved analytically. We will also present the numerical solutions of the trigonometric and elliptic models and compare the solutions to the corresponding Bethe ansatz equations.

Author

Apor Roth (Eötvös Loránd University)

Co-author

Presentation materials

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