Jean-Claude Cuenin: Eigenvalue estimates for non-selfadjoint Dirac operators

We present eigenvalue bounds for the one-dimensional Dirac operator with a non-hermitian potential in terms of its L¹-norm. Operators of this type arise for example as Lax operators in the focusing nonlinear Schrödinger equation or in the problem of resonances via the method of complex scaling. Joint work with Ari Laptev and Christiane Tretter.