Spectral theory for slowly oscillating potentials II. Schrödinger operators

Academic Article


  • The absolutely continuous and singular spectrum of one-dimensional Schrödinger operators with slowly oscillating potentials and perturbed periodic potentials is studied, continuing similar investigations for Jacobi matrices from [14]. Trace class methods are used to locate the singular spectrum. The absolutely continuous spectrum is determined by iterated diagonalization of transfer matrices to prove boundedness of eigensolutions.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Stolz G
  • Start Page

  • 275
  • End Page

  • 294
  • Volume

  • 183