Semiclassical asymptotics for a class of singular Schrödinger operators

  • Rupert L. Frank

    Ludwig-Maximilians-Universität München, Germany; California Institute of Technology Pasadena, USA
  • Simon Larson

    California Institute of Technology, Pasadena, USA
Semiclassical asymptotics for a class of singular Schrödinger operators cover
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Abstract

Let be bounded with boundary. In this paper we consider Schrödinger operators on with as . Under weak assumptions on we derive a two-term asymptotic formula for the sum of the eigenvalues of such operators.