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The Landau Hamiltonian with delta-potentials supported on curves

By Jussi Behrndt

Appears in collection : Spectral Analysis for Quantum Hamiltonians / Analyse Spectrale pour des Hamiltoniens Quantiques

The spectral properties of a singularly perturbed self-adjoint Landau Hamiltonian in the plane with a delta-potential supported on a finite curve are studied. After a general discussion of the qualitative spectral properties of the perturbed Landau Hamiltonian and its resolvent, one of our main objectives is a local spectral analysis near the Landau levels. This talk is based on joint works with P. Exner, M. Holzmann, V. Lotoreichik, and G. Raikov.

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Citation data

  • DOI 10.24350/CIRM.V.20126503
  • Cite this video Behrndt, Jussi (18/01/2024). The Landau Hamiltonian with delta-potentials supported on curves. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20126503
  • URL https://dx.doi.org/10.24350/CIRM.V.20126503


  • BEHRNDT, Jussi, HOLZMANN, Markus, LOTOREICHIK, Vladimir, et al. The fate of Landau levels under d-interactions. Journal of Spectral Theory, 2022, vol. 12, no 3. - https://doi.org/10.4171/JST/422
  • BEHRNDT, Jussi, EXNER, Pavel, HOLZMANN, Markus, et al. The Landau Hamiltonian with δ-potentials supported on curves. Reviews in Mathematical Physics, 2020, vol. 32, no 04, p. 2050010. - https://doi.org/10.1142/S0129055X20500105

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