Description
Book SynopsisContains the proceedings of the QMATH13: Mathematical Results in Quantum Physics conference, held in October 2016. Topics include random Schrodinger operators, many-body fermionic systems, atomic systems, effective equations, and applications to quantum field theory.
Table of Contents
- R. L. Frank, P. T. Nam, and H. Van Den Bosch, A short proof of the ionization conjecture in Muller theory
- M. Porta, Mean field dynamics of interacting fermionic systems
- H. Abdul-Rahman, R. Sims, and G. Stolz, Correlations in disordered quantum harmonic oscillator systems: The effects of excitations and quantum quenches
- J. Z. Imbrie, The lattice Anderson model with discrete disorder
- V. Mastropietro, Interacting fermions with quasi-random disorder
- M. Correggi, D. Lundholm, and N. Rougerie, Local density approximation for almost-bosonic anyons
- B. Nachtergaele, R. Sims, and A. Young, Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems
- J. Bolte and G. Garforth, Solvable models of interacting $n$-particle systems on quantum graphs
- R. Band and A. J. Krueger, Nonlinear Sturm oscillation: From the interval to a star
- C. Cacciapuoti, Existence of the ground state for the NLS with potential on graphs
- V. Rabinovich, Fredholm theory of differential operators on periodic graphs
- P. Exner and V. Lotoreichik, Optimization of the lowest eigenvalue for leaky star graphs
- V. Bruneau and G. Raikov, Local eigenvalue asymptotics of the perturbed Krein Laplacian
- P. von Soosten and S. Warzel, Singular spectrum and recent results on hierarchical operators
- D. Auckly and P. Kuchment, On Parseval frames of exponentially decaying composite Wannier functions
- M. Ballesteros, N. Crawford, M. Fraas, J. Frohlich, and B. Schubnel, Non-demolition measurements of observables with general spectra
- P. Naaijkens, Subfactors and quantum information theory
- R. Dick, Dressing up for length gauge: Mathematical aspects of a debate in quantum optics
- A. Joye and M. Merkli, Random phase infinite coherent states: Construction and dynamics
- M. Merkli, Effective evolution of open dimers.
