M. S. Birman, G. D. Raikov, Discrete spectrum in the gaps for perturbations of the magnetic Schrödinger operators, In: Estimates and Asymptotics for Discrete Spectra of Integral and Differential Equations. Advances in Soviet Mathematics 7 (1991), 75 - 84, AMS, Providence.
Cited by:
Cited by:
- 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.
- T. Weidl, On the discrete spectrum of partial differential and integral operators, Doctoral thesis, Royal Institute of Technology, Stockholm, 1995.
- 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.
- S. I. Boyarchenko, S. Z. Levendorskii, Precise spectral asymptotics for perturbed magnetic Schrödinger operator, J. Math. Pures Appl. 76 (1997), 211-236.
- R. Hempel, S. Z. Levendorskii, On eigenvalues in gaps for perturbed magnetic Schrödinger operators, J. Math. Phys. 39 (1998), 63-78.
- V. Ivrii, Microlocal analysis and precise spectral asymptotics, Springer, Berlin-New York, Heidelberg, 1998.
- M. Dimassi, J. Sjostrand, Spectral Asymptotics in the Semi-Classical Limit, London Mathematical Society Lecture Notes Series, 268, Cambridge University Press, 1999.
- 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.
- 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.
- T. Weidl, Remarks on virtual bound states for semi-bounded Operators, Commun. P.D.E. 24 (1999), 25-60.
- T. Weidl, On Spectral Properties of Partial Differential Operators, Habilitation Thesis, Regensburg 1999.
- T. Weidl, Eigenvalue asymptotics for locally perturbed second order differential operators, J. London Math. Soc. 59 (1999), 227-251.
- 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.
- A. Pushnitski, Spectral shift function of the Schrödinger operator in the large coupling constant limit, Commun.P.D.E. 25 (2000), 703-736.
- A.V. Sobolev, M.Solomyak, Schrödinger operators on homogeneous metric trees: Spectrum in gaps, Rev. Math. Phys. 14 (2002), 421-467.
- 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.
- D. Hundertmark, B. Simon, Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices, J. Math. Anal. Appl. 340 (2008), 892-900.
- P. Miranda, Spectral Properties of Magnetic Quantum Hamiltonians, Ph. D. Thesis, Universidad de Chile, Santiago de Chile, 2011.
- 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.
- V. Ivrii, Microlocal Analysis, Sharp Spectral Asymptotics and Applications. IV. Magnetic Schrödinger operator 2, Springer, Cham, 2019.