Mathematical Problems in Quantum Physics

Federico Bonetto, Georgia Institute of Technology, Atlanta, GA.David Borthwick, Emory University, Atlanta, GA.Evans Harrell, Georgia Institute of Technology, Atlanta, GA.Michael Loss, Georgia Institute of Technology, Atlanta, GA.

• R. L. Frank, P. T. Nam, and H. Van Den Bosch, A short proof of the ionization conjecture in Muller theoryM. Porta, Mean field dynamics of interacting fermionic systemsH. Abdul-Rahman, R. Sims, and G. Stolz, Correlations in disordered quantum harmonic oscillator systems: The effects of excitations and quantum quenchesJ. Z. Imbrie, The lattice Anderson model with discrete disorderV. Mastropietro, Interacting fermions with quasi-random disorderM. Correggi, D. Lundholm, and N. Rougerie, Local density approximation for almost-bosonic anyonsB. Nachtergaele, R. Sims, and A. Young, Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systemsJ. Bolte and G. Garforth, Solvable models of interacting $n$-particle systems on quantum graphsR. Band and A. J. Krueger, Nonlinear Sturm oscillation: From the interval to a starC. Cacciapuoti, Existence of the ground state for the NLS with potential on graphsV. Rabinovich, Fredholm theory of differential operators on periodic graphsP. Exner and V. Lotoreichik, Optimization of the lowest eigenvalue for leaky star graphsV. Bruneau and G. Raikov, Local eigenvalue asymptotics of the perturbed Krein LaplacianP. von Soosten and S. Warzel, Singular spectrum and recent results on hierarchical operatorsD. Auckly and P. Kuchment, On Parseval frames of exponentially decaying composite Wannier functionsM. Ballesteros, N. Crawford, M. Fraas, J. Frohlich, and B. Schubnel, Non-demolition measurements of observables with general spectraP. Naaijkens, Subfactors and quantum information theoryR. Dick, Dressing up for length gauge: Mathematical aspects of a debate in quantum opticsA. Joye and M. Merkli, Random phase infinite coherent states: Construction and dynamicsM. Merkli, Effective evolution of open dimers.