The absence of eigenvalues for certain operators with partially periodic coefficients

Pub Date : 2022-08-24 DOI:10.1090/spmj/1730

N. Filonov

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引用次数: 1

Abstract

The absence of eigenvalues is proved for the Schrödinger operator − Δ + V ( x , y ) -\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 1 . A similar result for the Maxwell operator is established.

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某些部分周期系数算子的特征值不存在

证明了欧氏空间中Schrödinger算子−Δ+V（x，y）-\Δ+V。建立了麦克斯韦算子的类似结果。

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