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  and  to piecewise smooth domains.
Cite this article
Ayman Kachmar, Abdallah Khochman, Spectral asymptotics for magnetic Schrödinger operators in domains with corners. J. Spectr. Theory 3 (2013), no. 4, pp. 553–574DOI 10.4171/JST/56