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

2021/06/16 by Sorowen, Ben
#46N50 (Primary) 81Q10 #47F05 (secondary) #78M22 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2106.08625

Abstract

An upper estimate for the number of negative eigenvalues below the essential spectrum for the magnetic Schrödinger 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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