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math.SP2016
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…
math.SP2016
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…