The Landau Hamiltonian with delta-potentials supported on curves - presented by Jussi Behrndt

The Landau Hamiltonian with delta-potentials supported on curves

Jussi Behrndt

JB
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The Landau Hamiltonian with delta-potentials supported on curves
JB
Jussi Behrndt

Associated Journal of Spectral Theory article

J. Behrndt et al. (2023) The fate of Landau levels under $\delta$-interactions. Journal of Spectral Theory
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Article of record

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.

References
  • 1.
    J. Behrndt et al. (2019) The Landau Hamiltonian with δ-potentials supported on curves. Reviews in Mathematical Physics
  • 2.
    J. Behrndt et al. (2023) The fate of Landau levels under $\delta$-interactions. Journal of Spectral Theory
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Cite as
J. Behrndt (2023, October 5), The Landau Hamiltonian with delta-potentials supported on curves
DOI
doi.org/10.52843/cassyni.bpb2l6
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Video length 47:20
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