Spectral Theory and Mathematical Physics

Book Overview

Preface.- Lower bounds for sojourn time in a simple shape resonance model.- Spectral properties for Hamiltonians of weak interactions.- Magnetic Laplacian in sharp three-dimensional cones.- Spectral clusters for magnetic exterior problems.- The spectral shift function and the Witten index.- Stahl's theorem (aka BMV conjecture): insights and intuition on its proof.- Some estimates regarding integrated density of states for random Schr?dingeroperator with decaying random potentials.- Boundary values of resolvents of self-adjoint operators in Krein spaces and applications to the Klein-Gordon equation.- Levinson's theorem: an index theorem in scattering theory.- Counting function of magnetic resonances for non-definite sign perturbations.- Harmonic analysis and random Schr?dinger operators.

• Format: Hardcover
• Language: English
• ISBN: 3319299905
• ISBN13: 9783319299907
• Release Date: July 2016
• Publisher: Birkhauser
• Length: 255 Pages
• Weight: 1.20 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"