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The Spectrum of the Two-Dimensional Periodic Schrödinger Operator

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Abstract

The absence of eigenvalues (of infinite multiplicity) for the two-dimensional periodic Schrödinger operator with a variable metric is proved. The method of proof does not use the change of variables reducing the metric to a scalar form.

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  1. Udmurtia Science Center, RAS, Physicotechnical Institute, Izhevsk, Russia

    L. I. Danilov

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Danilov, L.I. The Spectrum of the Two-Dimensional Periodic Schrödinger Operator. Theoretical and Mathematical Physics 134, 392–403 (2003). https://doi.org/10.1023/A:1022605623235

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