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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
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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http://mi.mathnet.ru/eng/tmf9203https://doi.org/10.4213/tmf9203 http://mi.mathnet.ru/eng/tmf/v191/i1/p14
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