Elliptic Integrable Systems and Special Functions
Kapitel i bok, 2024
We discuss elliptic quantum Calogero-Moser-Sutherland models, including their relativistic generalizations due to Ruijsenaars and van Diejen, and the relations of these models to classes of special functions developed and explored in recent and on-going research efforts. We give an introduction to these models and corresponding special functions aimed at non-experts. We also describe a few open problems in the field.
Kernel functions
Quantum integrable systems
Exact solutions
Ruijsenaars model
Calogero-Moser-Sutherland models
Van Diejen model
Författare
Martin Hallnäs
Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori
Göteborgs universitet
Edwin Langmann
Kungliga Tekniska Högskolan (KTH)
Encyclopedia of Mathematical Physics, Second Edition: Volumes 1-5
Vol. 1-5 V3:83-V3:103
978-0-323-95706-9 (ISBN)
Ämneskategorier (SSIF 2011)
Annan matematik
DOI
10.1016/B978-0-323-95703-8.00061-6