Methods of spectral analysis in mathematical physics

by Conference on Operator Theory, Analysis and Mathematical Physics (2006 Lund University)

This volume contains mainly the lectures delivered by the participants of the International Conference: Operator Theory, Analysis and Mathematical Physics – OTAMP2006, held in Lund. As in the previous conferences of the OTAMP series, the main lectures presented an overview of current research which uses operator methods in analysis and mathematical physics. The topics of the Proceedings belong to various di?erent ?elds of mathem- ical physics. Among others (but there is much more in this volume) the following subjects are presented: inverse spectral and scattering problems on graphs, review articles on quadratic Hamiltonians and Born-Oppenheimer approximations, - cursive construction of the Ablowitz-Ladik Hierarchy, spectral properties of ?nite di?erence and one (or two) dimensional Schro ¨dinger operators, eigenvalues and their estimates for Jacobi matrices and Aharonov-Bohm operator. Most papers of the volume contain original material and were refereed by acknowledged experts. The Ed