Theses & Dissertations Open Access 2021 RUF-39273

Estimation of the number of negative eigenvalues of magnetic Schrodinger operators in a strip

B. Sorowen

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Abstract

42 words

An upper estimate for the number of negative eigenvalues below the essential spectrum for the magnetic Schr¨odinger operator with Aharonov-Bohm magnetic field in a strip is obtained. Its further shown that the estimate does not hold in absence of Aharonov-Bohm magnetic field.

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