Mantoiu M., Raikov G., Tiedra de Aldecoa R. (Eds.) Spectral Theory and Mathematical Physics

Springer, 2016. – 255 p. – ISBN10: 3319299905The 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.
Topics
Functional Analysis
Operator Theory
Mathematical Physics
Partial Differential EquationsLower 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 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 Eigenvalues for Non-definite Sign Perturbations
Harmonic Analysis and Random Schrödinger Operators