Spectral theory and mathematical physics

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.

"This volume contains the proceedings of the conference Spectral Theory and Mathematical Physics, which took place at Pontificia Universidad Católica de Chile (PUC), Santiago, in November 2014."

Lower bounds for sojourn time in a simple shape resonance model / J. Asch [and 3 others] -- Spectral properties for Hamiltonians of weak interactions / J.-M. Barbaroux, J. Faupin and J.-C. Guillot -- Magnetic Laplacian in sharp three-dimensional cones / V. Bonnaillie-Noël [and 3 others] -- Spectral clusters for magnetic exterior problems / V. Bruneau and D. Sambou -- The spectral shift function and the Witten index / A. Carey [and 3 others] -- Stahl's theorem (aka BMV conjecture): insights and intuition on its proof / F. Clivaz -- Some estimates regarding integrated density of states for random Schrödinger operator with decaying random potentials / D. Ranjan Dolai -- Boundary values of resolvents of self-adjoint operators in Krein spaces and applications to the Klein-Gordon equation / D. Häfner -- Levinson's Theorem: An index theorem in scattering theory / S. Richard -- Counting function of magnetic Eigenvalues for non-definite sign perturbations / D. Sambou -- Harmonic analysis and random Schrödinger operators / M. Täufer, M. Tautenhahn and I. Veselić.