Farrokh Atai(Kobe University)
Special solutions of non-stationary Calogero-Moser-Sutherland models
17:00--18:30 July 31 (Wed), 2019
Room B314, Faculty of Science
Recent developments in mathematics and mathematical physics have led to an interest in the study of non-stationary generalizations of the elliptic Calogero-Moser-Sutherland (CMS) models and their solutions. These models are one-parameter generalizations of the elliptic CMS models whose name derives from their resemblance to non-stationary Schrödinger equations. Of particular interest are the non-stationary Heun, non-stationary Lamé, and non-stationary elliptic Calogero-Sutherland equation. In this seminar, I present methods for constructing particular solutions of these non-stationary equations using kernel function methods. Based on arXiv:1609.02525 with E. Langmann (KTH) and arXiv:1702.05252.