3nd workshop
Mathematical Challenges of Zero-Range Physics:
rigorous results and open problems

Rome, 9-13 July 2018


efimov







organisers:
Gianfausto Dell'Antonio
Alessandro Michelangeli
(
MMQM-SISSA)


This meeting follows the first two editions of Munich 2014 and Trieste 2016, and focuses on the new results and open problems in the field.

Topics include:
  • Unitary gases: stability, trimer losses and re-combinations, Efimov states, Thomas effect
  • Zero-range Hamiltonians of Ter-Martyrosian-Skornyakov type for particle systems with contact interactions
  • Models of contact interactions supported on curves and hyper-surfaces
  • Quantum particles on shrinking wave-guides and on metric graphs
  • Effective models of quantum environments with zero-range interactions
  • Dynamical and dispersive properties of singular perturbations of the Laplacian, and fractional singular Sobolev spaces
  • Singular perturbations of the Dirac operator
  • Point interaction Hamiltonians on finite domains and spectral shape optimisation
  • Self-adjoint extension theories, boundary triplet theory, and Krein-like formulas
Speakers:



Venue:




Programme:




Participants: