99 citations · 403 across the 43 of their papers we have counts for
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Eigenvalues of the bilayer graphene operator with a complex valued potential
Francesco Ferrulli, Ari Laptev, Oleg Safronov
We study the spectrum of a system of second order differential operator perturbed by a non-selfadjoint matrix valued potential. We prove that eigenvalues of the perturbed operator…
Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices
Evgeny Korotyaev, Ari Laptev
We consider Schrödinger operators with complex decaying potentials on the lattice. Using some classical results from Complex Analysis we obtain some trace formulae and using them e…
A bound for the eigenvalue counting function for Krein--von Neumann and Friedrichs extensions
Mark S. Ashbaugh, Fritz Gesztesy, Ari Laptev +2
For an arbitrary open, nonempty, bounded set , , and sufficiently smooth coefficients , we consider the closed, strictly positive, h…
On the number of eigenvalues of Schrödinger operators with complex potentials
Rupert L. Frank, Ari Laptev, Oleg Safronov
We study the eigenvalues of Schrödinger operators with complex potentials in odd space dimensions. We obtain bounds on the total number of eigenvalues in the case where decays…