Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices

Published 30 Sep 2016 in math.SP | (1609.09703v1)

Abstract: We consider Schr\"odinger operators with complex decaying potentials on the lattice. Using some classical results from Complex Analysis we obtain some trace formulae and using them estimate globally all zeros of the Fredholm determinant in terms of the potential.

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