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.
Quantum integrability of the deformed elliptic Calogero-Moser problem
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abstract
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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2019 1verdicts
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Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation
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.