Theoretical and Mathematical Physics

, Volume 191, Issue 1, pp 480–490 | Cite as

Polynomial forms for quantum elliptic Calogero–Moser Hamiltonians

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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 ≤ 3 and, moreover, give the corresponding polynomial operators explicitly.

Keywords

elliptic Calogero–Moser Hamiltonian universal enveloping algebra 

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.National Research University “Higher School of Economics,”MoscowRussia
  2. 2.Landau Institute for Theoretical PhysicsRASChernogolovka, Moscow OblastRussia

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