The absence of eigenvalues for certain operators with partially periodic coefficients

Filonov, N.

doi:10.1090/spmj/1730

The absence of eigenvalues for certain operators with partially periodic coefficients
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by N. D. Filonov
Translated by: the author

St. Petersburg Math. J. 33 (2022), 867-878

DOI: https://doi.org/10.1090/spmj/1730

Published electronically: August 24, 2022

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Abstract:

The absence of eigenvalues is proved for the Schrödinger operator $-\Delta + V(x,y)$ in the Euclidean space whose potential is periodic in some variables and decays in the remaining variables faster than power $1$. A similar result for the Maxwell operator is established.

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