Spectral asymptotics for magnetic Schrödinger operators in domains with corners

Ayman Kachmar; Abdallah Khochman

doi:10.4171/jst/56

JournalsjstVol. 3, No. 4pp. 553–574

Spectral asymptotics for magnetic Schrödinger operators in domains with corners

Ayman Kachmar
Lebanese University, Hadath, Lebanon
Abdallah Khochman
Lebanese University, Hadath, Lebanon
- MathSciNet
- zbMATH Open

Download PDF

Abstract

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 [11] and [10] 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. 553–574

DOI 10.4171/JST/56