Spectral Theory and Mathematical Physics
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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Spectral Properties for Hamiltonians of Weak Interactions
Magnetic Laplacian in Sharp Threedimensional Cones
Spectral Clusters for Magnetic Exterior Problems
The Spectral Shift Function and the Witten Index
Insights and Intuition on its Proof
Some Estimates Regarding Integrated Density of States for Random Schrödinger Operator with Decaying Random Potentials
Boundary Values of Resolvents of Selfadjoint Operators in Krein Spaces and Applications to the KleinGordon Equation
An Index Theorem in Scattering Theory
Counting Function of Magnetic Eigenvalues for Nondefinite Sign Perturbations
Harmonic Analysis and Random Schrödinger Operators