Asymptotically correct lower bound for the sum of negative eigenvalues of schrödinger operators through a decomposition of unity given by macke

Academic Article


  • We prove that the semi-classical expression for the sum of the negative eigenvalues of a one-dimensional Schrödinger operator with negative potential ࢤφ is correct up to order O(h log 1/h) in the“;Planck” constant h provided φ1/4 is in the Sobolev space H1(R). © 1994 IOS Press and the authors.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Siedentop H; Weikard R
  • Start Page

  • 65
  • End Page

  • 72
  • Volume

  • 8
  • Issue

  • 1