BOUNDS ON THE EIGENVALUES OF NON-SELF-ADJOINT SCHRÖDINGER OPERATORS

E B DAVIES

E.B.Davies@kcl.ac.uk

Department of Mathematics
Kings College, University of London
The Strand
London WC2R 2LS, UK

This talk describes bounds on the location of the eigenvalues of one-dimensional non-self-adjoint Schrödinger operators, obtained jointly by the speaker and J Nath. The bounds are expressed in terms of $L^p$ norms of the potentials, and are optimal if the potential is $L^1$.