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Spectral Picard–Vessiot fields for Algebro-geometric Schrödinger operators

Spectral Picard–Vessiot fields for Algebro-geometric Schrödinger operators

This work is a Galoisian study of the spectral problem LΨ=λΨ, for an algebro-geometric second order differential operators L, with coefficients in a differential field, whose field of constants C is algebraically closed and of characteristic zero. Our approach regards the spectral parameter λ as an algebraic variable over C, …