Overview

The 10th Quantum Mathematics International Conference (Qmath10) gave an opportunity to bring together specialists interested in that part of mathematical physics which is in close connection with various aspects of quantum theory. It was also meant to introduce young scientists and new tendencies in the field.This collection of carefully selected papers aims to reflect recent techniques and results on Schrodinger operators with magnetic fields, random Schrodinger operators, condensed matter and open systems, pseudo-differential operators and semiclassical analysis, quantum field theory and relativistic quantum mechanics, quantum information, and much more. The book serves as a concise and well-documented tool for the more experimented scientists, as well as a research guide for postgraduate students.Contents: Charge Transport and Determinants (S Bachmann & G M Graf) The Integrated Density of States in Strong Magnetic Fields (P Briet & G R Raikov) Geometrical Objects on Matrix Algebra (C Ciupal ) Self-Adjointness via Partial Hardy-Like Inequalities (M J Esteban & M Loss) Interlaced Dense Point and Absolutely Continuous Spectra for Hamiltonians with Concentric-Shell Singular Interactions (P Exner & M Fraas) Pointwise Existence of the Lyapunov Exponent for a Quasiperiodic Equation (A Fedotov & F Klopp) Recent Advances about Localization in Continuum Random Schrodinger Operators with an Extension to Underlying Delonne Sets (F Germinet) The Thermodynamic Limit of Quantum Coulomb Systems: A New Approach (C Hainzl et al.) Spectral Properties of the BCS Gap Equation of Superfluidity (C Hainzl & R Seiringer) Spectral Gaps for Periodic Schrodinger Operators with Hypersurface Magnetic Wells (B Helffer & Y A Kordyukov) Asymptotic Entanglement in Open Quantum Dynamics (A Isar) Repeated Interaction Quantum Systems: Deterministic and Random (A Joye) The Mathematical Model of Scattering in Stepwise Waveguides (A V Lebedev & I A Shereshevskii) Schrodinger Operators with Random Magnetic Fields (T Mine & Y Nomura) Mean Field Limit for Bosons and Semiclassical Techniques (F Nier) Variational Principle for Hamiltonians with Degenerate Bottom (K Pankrashkin) Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases (R Seiringer) The Model of Interacting Spatial Permutations and Its Relation to the Bose Gas (D Ueltschi) Boson Gas with BCS Interactions (V Zagrebnov) Readership: Mathematical and theoretical physicists, statistical physicists, and researchers in quantum mechanics and partial differential equations.

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