Spectral asymptotics for magnetic Schrödinger operators in domains with corners
Ayman Kachmar, Abdallah Khochman
本文研究二维角域上的磁薛定谔算子。得到了特征值和及特征值个数的半经典公式。所得结果将\cite{Fr, FK}中光滑域的计算公式推广到分片光滑域.
This paper is on magnetic Schrodinger operators in two dimensional domains with corners. Semiclassical formulas are obtained for the sum and number of eigenvalues. The obtained results extend former formulas for smooth domains in \cite{Fr, FK} to piecewise smooth domains.
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