Unitary Monodromy of Lamé Differential Operators

    2007, Volume 12, Number 6, pp.  630-641

    Author(s): Beukers F.

    The classical second order Lamé equation contains a so-called accessory parameter $B$. In this paper we study for which values of $B$ the Lamé equation has a monodromy group which is conjugate to a subgroup of $SL(2, \mathbb{R})$ (unitary monodromy with indefinite hermitian form). We reformulate the problem as a spectral problem and give an asymptotic expansion for the spectrum.
    Keywords: unitary monodromy, Lamé differential equation
    Citation: Beukers F., Unitary Monodromy of Lamé Differential Operators, Regular and Chaotic Dynamics, 2007, Volume 12, Number 6, pp. 630-641

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