Email this article Polynomial forms for quantum elliptic Calogero–Moser Hamiltonians
- Authors: Matushko M.G.1, Sokolov V.V.2
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Affiliations:
- National Research University “Higher School of Economics,”
- Landau Institute for Theoretical Physics
- Issue: Vol 191, No 1 (2017)
- Pages: 480-490
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171113
- DOI: https://doi.org/10.1134/S004057791704002X
- ID: 171113
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Abstract
We hypothesize the form of a transformation reducing the elliptic AN Calogero–Moser operator to a differential operator with polynomial coefficients. We verify this hypothesis for N ≤ 3 and, moreover, give the corresponding polynomial operators explicitly.
About the authors
M. G. Matushko
National Research University “Higher School of Economics,”
Author for correspondence.
Email: matushkom@mail.ru
Russian Federation, Moscow
V. V. Sokolov
Landau Institute for Theoretical Physics
Email: matushkom@mail.ru
Russian Federation, Chernogolovka, Moscow Oblast
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