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TMF, 2017, Volume 191, Number 1, Pages 14–24 (Mi tmf9203)  
Polynomial forms for quantum elliptic Calogero–Moser Hamiltonians

M. G. Matushkoa, V. V. Sokolovb

a National Research University "Higher School of Economics", Moscow, Russia
b Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia

Abstract: We hypothesize the form of a transformation reducing the elliptic $A_N$ Calogero–Moser operator to a differential operator with polynomial coefficients. We verify this hypothesis for $N\le3$ and, moreover, give the corresponding polynomial operators explicitly.

Keywords: elliptic Calogero–Moser Hamiltonian, universal enveloping algebra

Funding Agency Grant Number
Russian Foundation for Basic Research 16-01-00289
Simons Foundation
Max-Planck-Institut für Mathematik
This research was supported by the Russian Foundation for Basic Research (Grant No. 16-01-00289) and in part by the Simons Foundation. The research of V. V. Sokolov was supported in part by the Max Plank Institute (Bonn).


DOI: https://doi.org/10.4213/tmf9203

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English version:
Theoretical and Mathematical Physics, 2017, 191:1, 480–490

Bibliographic databases:

Received: 05.04.2016

Citation: M. G. Matushko, V. V. Sokolov, “Polynomial forms for quantum elliptic Calogero–Moser Hamiltonians”, TMF, 191:1 (2017), 14–24; Theoret. and Math. Phys., 191:1 (2017), 480–490

Citation in format AMSBIB
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