Trace formulas for Schrödinger operators with complex potentials

2017/12/25 by Korotyaev, Evgeny
#FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1712.09053

Abstract

We consider 3-dim Schrödinger operators with a complex potential. We obtain new trace formulas. In order to prove these results we study analytic properties of a modified Fredholm determinant. In fact we reformulate spectral theory problems as the problems of analytic functions from Hardy spaces in upper half-plane.

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