Intertwining operator for AG2 Calogero-Moser-Sutherland system

Feigin, M. and Vrabec, M. (2019) Intertwining operator for AG2 Calogero-Moser-Sutherland system. Journal of Mathematical Physics, 60, 073503. (doi:10.1063/1.5090274)

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Abstract

We consider the generalized Calogero–Moser–Sutherland quantum Hamiltonian H associated with a configuration of vectors AG2 on the plane which is a union of A2 and G2 root systems. The Hamiltonian H depends on one parameter. We find an intertwining operator between H and the Calogero–Moser–Sutherland Hamiltonian for the root system G2. This gives a quantum integral for H of order 6 in an explicit form, thus establishing integrability of H.

Item Type:Articles
Additional Information:We are grateful to the London Mathematical Society for the support through Undergraduate Research Bursary scheme which enabled us to carry out the main part of the work in summer 2018. M.V. also acknowledges matched funding from the School of Mathematics and Statistics, University of Glasgow.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Vrabec, Mr Martin and Feigin, Dr Misha
Authors: Feigin, M., and Vrabec, M.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Mathematical Physics
Publisher:AIP Publishing
ISSN:0022-2488
ISSN (Online):1089-7658
Published Online:08 July 2019

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