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Reduction of theta functions and elliptic finite-gap potentials

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Abstract

We have studied a reduction of finite-gap potentials of the Schrödinger operator by means of a reduction of the theta function theory initiated by Weierstrass and Poincaré. An example of two-gap potential is considered in detail.

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Dedicated to the memory of J.-L. Verdier

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Belokolos, E.D., Enol'skii, V.Z. Reduction of theta functions and elliptic finite-gap potentials. Acta Appl Math 36, 87–117 (1994). https://doi.org/10.1007/BF01001544

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