Spectral asymptotics for magnetic Schr\"odinger operators in domains with corners

Ayman Kachmar; Abdallah Khochman

Spectral asymptotics for magnetic Schr\"odinger operators in domains with corners

Spectral Theory 2012-08-07 v1

Authors: Ayman Kachmar , Abdallah Khochman

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 \cite{Fr, FK} to piecewise smooth domains.

Keywords

magnetic schrödinger operators spectral asymptotics domains with corners semiclassical formulas eigenvalues piecewise smooth domains

Cite

@article{arxiv.1208.1127,
  title  = {Spectral asymptotics for magnetic Schr\"odinger operators in domains with corners},
  author = {Ayman Kachmar and Abdallah Khochman},
  journal= {arXiv preprint arXiv:1208.1127},
  year   = {2012}
}

Comments

15 pages

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