Mantoiu / Raikov / Tiedra de Aldecoa Spectral Theory and Mathematical Physics

1. Auflage 2016
ISBN: 978-3-319-29992-1
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 254, 255 Seiten, eBook

Reihe: Operator Theory: Advances and Applications

The present volume contains the Proceedings of the International Conference on Spectral Theory and Mathematical Physics held in Santiago de Chile in November 2014. Main topics are: Ergodic Quantum Hamiltonians, Magnetic Schrödinger Operators, Quantum Field Theory, Quantum Integrable Systems, Scattering Theory, Semiclassical and Microlocal Analysis, Spectral Shift Function and Quantum Resonances. The book presents survey articles as well as original research papers on these topics.It will be of interest to researchers and graduate students in Mathematics and Mathematical Physics.

Zielgruppe

Research

Autoren/Hrsg.

Mantoiu, Marius

Raikov, Georgi

Tiedra de Aldecoa, Rafael

Inhaltsverzeichnis

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 Schrödingeroperator 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 Schrödinger operators.