Seminar

Eigenvalue estimates for non-selfadjoint Dirac operators

Hamiltonians in Magnetic Fields

22 November 15:30 - 16:30

Jean-Claude Cuenin - LMU Ludwig-Maximilians-Universität München

We present eigenvalue bounds for the one-dimensional Dirac operator with a non-hermitian potential in terms of its L^1-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.
Organizers
Rafael D. Benguria
Pontificia Universidad Católica de Chile
Arne Jensen
Aalborg University
Georgi Raikov
Pontificia Universidad Católica de Chile
Grigori Rozenblioum
Chalmers/University of Gothenburg
Jan Philip Solovej
University of Copenhagen