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Title (deu)
Infinite algebras and intertwining networks for Calogero models
Speaker / Lecturer
Olaf Lechtenfeld
Leibniz U
Description (deu)
Calogero models are prototypes of superintegrable quantum multi-particle models. For the rational A-type case we review their infinite algebra of symmetric observables, which includes all conserved charges. For a fixed number of particles, functional dependency leads to a finite but nonlinear W algebra, for which we construct a first Casimir operator. Another well-known feature is the existence of (horizontal) intertwiners, which relate the energy spectra for integral shifts of the Calogero coupling and give rise to so-called "analytic integrability" for integer coupling values. Here, we report on our recent discovery of "vertical" intertwiners, which increase by one the number of interacting Calogero particles for any fixed integer coupling.
Keywords (deu)
Exactly Solvable Models
Subject (eng)
ÖFOS 2012 -- 103 -- Physics, Astronomy
Type (eng)
lecture
Language
English [eng]
Persistent identifier
https://phaidra.univie.ac.at/o:2081370
Project
Title (deu)
Exactly Solvable Models
Project description (eng)
Workshop
Start date
2024-07-24
End date
2024-07-26
Project homepage
https://www.esi.ac.at/events/e541/
Date created
2024-07-24
Place of creation (eng)
ESI
Duration
49 minutes 49 seconds
Association (eng)
Research Platform Erwin Schrödinger International Institute for Mathematical Physics (ESI)
License
All rights reserved