Browsing by Author "Holzmann, Markus"

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    The fate of Landau levels under δ-interactions
    (2022) Behrndt, Jussi; Holzmann, Markus; Lotoreichik, Vladimir; Raikov, Georgi
    We consider the self-adjoint Landau Hamiltonian H-0 in L-2(R-2) whose spectrum consists of infinitely degenerate eigenvalues Lambda(q), q is an element of Z(+), and the perturbed Landau Hamiltonian H-upsilon = H-0 + upsilon delta(Gamma), where Gamma subset of R-2 is a regular Jordan C-1,C-1-curve and upsilon is an element of L-p(Gamma; R), p > 1, has a constant sign. We investigate ker(H-upsilon - Lambda(q)), q is an element of Z(+), and show that generically