Geodesic
Polynomial forms for quantum elliptic Calogero--Moser Hamiltonians
Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 1, pp. 14-24

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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. 
@article{TMF_2017_191_1_a1,
     author = {M. G. Matushko and V. V. Sokolov},
     title = {Polynomial forms for quantum elliptic {Calogero--Moser} {Hamiltonians}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {14--24},
     publisher = {mathdoc},
     volume = {191},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_191_1_a1/}
}
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M. G. Matushko; V. V. Sokolov. Polynomial forms for quantum elliptic Calogero--Moser Hamiltonians. Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 1, pp. 14-24. http://geodesic.mathdoc.fr/item/TMF_2017_191_1_a1/