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Cited by:

  1. R. Hempel, J. Laitenberger, Schrödinger operators with strong local magnetic perturbations: existence of eigenvalues in gaps of the essential spectrum, In: Proceedings of the conference: Mathematical results in quantum mechanics, Blossin, 1993, Birkhäuser (1994), 13-18.
  2. T. Weidl, On the discrete spectrum of partial differential and integral operators, Doctoral thesis, Royal Institute of Technology, Stockholm, 1995.
  3. S. Z. Levendorskii, The asymptotics for the number of eigenvalue branches for the magnetic Schrödinger operator H − λW in a gap of H, Math. Z. 223 (1996), 609-626.
  4. S. I. Boyarchenko, S. Z. Levendorskii, Precise spectral asymptotics for perturbed magnetic Schrödinger operator, J. Math. Pures Appl. 76 (1997), 211-236.
  5. R. Hempel, S. Z. Levendorskii, On eigenvalues in gaps for perturbed magnetic Schrödinger operators, J. Math. Phys. 39 (1998), 63-78.
  6. V. Ivrii, Microlocal analysis and precise spectral asymptotics, Springer, Berlin-New York, Heidelberg, 1998.
  7. M. Dimassi, J. Sjostrand, Spectral Asymptotics in the Semi-Classical Limit, London Mathematical Society Lecture Notes Series, 268, Cambridge University Press, 1999.
  8. R. Hempel, Oscillatory eigenvalue branches for Schrödinger operators with strongly coupled magnetic fields. In: Differential Operators and Spectral Theory: M. Sh. Birman’s 70th Anniversary Collection, AMS Translations 2 189 (1999), 93-104.
  9. G. Rozenblum, M. Solomyak, On the number of negative eigenvalues for the two-dimensional magnetic Schrödinger operator, In: Differential Operators and Spectral Theory: M. Sh. Birman’s 70th Anniversary Collection, AMS Translations 2 189 (1999), 205-217.
  10. T. Weidl, Remarks on virtual bound states for semi-bounded Operators, Commun. P.D.E. 24 (1999), 25-60.
  11. T. Weidl, On Spectral Properties of Partial Differential Operators, Habilitation Thesis, Regensburg 1999.
  12. T. Weidl, Eigenvalue asymptotics for locally perturbed second order differential operators, J. London Math. Soc. 59 (1999), 227-251.
  13. T. Weidl, A remark on Hardy type inequalities for critical Schrödinger operators with magnetic fields, In: The Mazya anniversary conference collection, vol. 2, (Rostock, 1998), 345-352; Oper. Theory Adv. Appl. 110, Birkhäuser, Basel, 1999.
  14. A. Pushnitski, Spectral shift function of the Schrödinger operator in the large coupling constant limit, Commun.P.D.E. 25 (2000), 703-736.
  15. A.V. Sobolev, M.Solomyak, Schrödinger operators on homogeneous metric trees: Spectrum in gaps, Rev. Math. Phys. 14 (2002), 421-467.
  16. R. Hempel, A. Besch, Magnetic barriers of compact support and eigenvalues in spectral gaps, Electr. J. Diff. Eq. 2003 (2003), No. 48, pp. 1-25.
  17. D. Hundertmark, B. Simon, Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices, J. Math. Anal. Appl. 340 (2008), 892-900.
  18. P. Miranda, Spectral Properties of Magnetic Quantum Hamiltonians, Ph. D. Thesis, Universidad de Chile, Santiago de Chile, 2011.
  19. R. L. Frank, B. Simon, Critical Lieb-Thirring bounds in gaps and the generalized Nevai conjecture for finite gap Jacobi matrices, Duke Math. J. 157 (2011), 461-493.
  20. V. Ivrii, Microlocal Analysis, Sharp Spectral Asymptotics and Applications. IV. Magnetic Schrödinger operator 2, Springer, Cham, 2019.