Spectral Theory and Mathematical Physics

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Marius Mantoiu, Georgi Raikov, Rafael Tiedra de Aldecoa
Birkhäuser, Jun 30, 2016 - Mathematics - 255 pages

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.

 

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Contents

Lower Bounds for Sojourn Time in a Simple Shape Resonance Model
1
Spectral Properties for Hamiltonians of Weak Interactions
11
Magnetic Laplacian in Sharp Threedimensional Cones
37
Spectral Clusters for Magnetic Exterior Problems
57
The Spectral Shift Function and the Witten Index
71
Insights and Intuition on its Proof
106
Some Estimates Regarding Integrated Density of States for Random Schrödinger Operator with Decaying Random Potentials
119
Boundary Values of Resolvents of Selfadjoint Operators in Krein Spaces and Applications to the KleinGordon Equation
133
An Index Theorem in Scattering Theory
149
Counting Function of Magnetic Eigenvalues for Nondefinite Sign Perturbations
204
Harmonic Analysis and Random Schrödinger Operators
223
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