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Using representations of sl(2,R) generators which yield associated LameHamiltonians we obtain new classes of elliptic potentials. We explicitlycalculate eigenvalues and spectra for these potentials and construct theassociated orthogonal polynomials. We show that in the proper limit thesepotentials reduce to well-known exactly solvable potentials.Comment: 34 pages, 4 tables, 1 figure, PDF fil

Associated Lamé and various other new classes of elliptic potentials from sl(2,R) and related orthogonal polynomials