Mathematical Challenges in Quantum Mechanics

February 8 – 13, 2016, Bressanone (Italy)


Sandro Stringari – Gross-Pitaevskii equations for two-coupled Bose-Einstein condensates


Virginie Bonnaillie-Noël – Magnetic Laplacian in sharp three-dimensional cones


Federico Laudisa – The issue of ‘local realism’ in the foundations of quantum mechanics


Luis Vega – An isoperimetric-type inequality for Dirac Hamiltonians with electro- static shell interactions


Pavel Exner – Quantum systems changing abruptly their spectral properties


Paolo Antonelli – Finite energy analysis for some hydrodynamic systems arising in the description of quantum fluids





Costanza Benassi – Decay of correlations in 2d quantum systems


Francesco C. De Vecchi – Entropy Chaos and Bose-Einstein Condensation


Giuseppe Genovese – Gibbs Measures for the DNLS equation


Per Moosavi – Non-equilibrium physics in a quenched Luttinger model


Clément Tauber – Topological edge states in two-gap unitary systems: a transfer matrix approach


Anna Vershynina – Entanglement Rates in Bipartite Systems


Daphne J. Gilbert – A new formulation of the Weyl-Kodaira eigenfunction expansion


Li Chen – Multi-vortex Solutions of the Ginzburg-Landau Equations


Marko Erceg – Characteristic length of sequences via one-scale H-measures


Domenico Finco – Schrödinger equation with non linear defect as effective model


Chiara Saffirio – From the Hartree-Fock dynamics to the Vlasov equation


Jean-Philippe Miqueu – Spectral analysis of the magnetic Laplacian in the semi- classical limit


Lorenzo Tentarelli – NLS on graphs: recent results and perspectives


Carlos Villegas-Blas – On the semiclassical limiting eigenvalue distribution for the hydrogen atom in a constant direction magnetic field


Lorenzo Zanelli – Schrödinger dynamics and optimal transport of measures on the flat torus


Max Lein – Classification of topological insulators for classical light


Davide Pastorello – Geometric description of finite-dimensional quantum systems in complex projective spaces and applications


Marcello Seri – A sub-Riemannian Santalo ́ formula and applications


Ivan Bardet – Classical and Quantum parts of the dynamics in Open Quantum System


Leonid A. Borisov – Equivalence by Chernoff for the methods of averaging of semigroups, generating by the Schrödinger-type operators


Giuseppe De Nittis – Topological nature of the Fu-Kane-Mele invariants


Davide Fermi – Zeta regularization and the Casimir effect: a functional analytic framework


Niels Benedikter – Mean-Field Dynamics of Fermionic Systems


Chiara Boccato – Quantum many-body fluctuations around nonlinear Schrödinger dynamics


Sébastien Breteaux – The Time-Dependent Hartree-Fock-Bogoliubov Equations for Bosons


Marco Falconi – Scattering theory in open quantum systems: Lindblad-type evolutions


Markus Lange – On asymptotic expansions for spin boson models


Alessandro Olgiati – Effective dynamics for a multi-component mixture of Bose- Einstein condensates


Andreas Wünsch – Self-Adjointness and Domain of the Fröhlich Hamiltonian


Jean-Claude Cuenin – Eigenvalue bounds for Dirac and fractional Schro ̈dinger operators with complex potentials


Francesco Ferrulli – Bounds for complex eigenvalues of single and bilayer graphene’s Hamiltonian operator


Orif Ibrogimov – Essential spectrum of singular matrix differential operators


Markus Holzmann – Approximation of Schrödinger operators with singular interactions supported on hypersurfaces


Anton A. Kutsenko – Periodic operators with defects of smaller dimension


Thomas Ourmieres-Bonafos – On the bound states of Schro ̈dinger operators with δ-interactions on conical surfaces


Bartosch Ruszkowski – Hardy inequalities on the Heisenberg group for convex bounded polytopes