Elliptic Integrable Systems and Special Functions
Book chapter, 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
Author
Martin Hallnäs
Chalmers, Mathematical Sciences, Analysis and Probability Theory
University of Gothenburg
Edwin Langmann
Royal Institute of Technology (KTH)
Encyclopedia of Mathematical Physics, Second Edition: Volumes 1-5
Vol. 1-5 V3:83-V3:103
978-0-323-95706-9 (ISBN)
Subject Categories (SSIF 2011)
Other Mathematics
DOI
10.1016/B978-0-323-95703-8.00061-6