Quantum integrability of the deformed elliptic Calogero-Moser problem

L. A. Khodarinova

Quantum integrability of the deformed elliptic Calogero-Moser problem

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arxiv math-ph/0406066 v1 pith:YSKVQKHV submitted 2004-06-28 math-ph math.MP

L. A. Khodarinova This is my paper · ORCID

classification math-phmath.MP

keywords integrabilitycalogero-moserdeformedellipticproblemquantumalgebraicchalykh

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The integrability of the deformed quantum elliptic Calogero-Moser problem introduced by Chalykh, Feigin and Veselov is proven. Explicit recursive formulae for the integrals are found. For integer values of the parameter this implies the algebraic integrability of the systems.

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Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation
math-ph 2019-08 accept novelty 7.0 of 10

Integral representations are constructed for solutions of the non-stationary elliptic Calogero-Sutherland equation, yielding elliptic analogues of Jack polynomials for non-integer coupling values.

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