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Third Workshop
Mathematical Challenges of Zero-Range Physics:

rigorous results and open problems

Rome, 9 - 13 July 2018

Gianfausto Dell'Antonio & Alessandro Michelangeli organisers


This meeting follows the first two editions of Munich 2014 and Trieste 2016 and focuses on the mathematical modelling and the rigorous study of systems of physical relevance with contact, point, zero-range interactions.

The Speakers:

Giulia Basti (Zurich) Pascal Naidon (Tokyo)
Jussi Behrndt (Graz) Diego Noja (Milan)
Raffaele Carlone (Naples) Andrea Ottolini (Stanford)
Horia Cornean (Aalborg) Ludovic Pricoupenko (Paris)
Rodolfo Figari (Naples) Andrea Posilicano (Como)
Domenico Finco (Rome) Andrea Sacchetti (Modena)
Matteo Gallone (Trieste) Raffaele Scandone (Trieste)
Yuriy Golovaty (L'viv) Julian Schmidt (Tübingen)
Marcel Griesemer (Stuttgart) Lorenzo Tentarelli (Rome)
Illya Karabash (Bonn) Andrea Trombettoni (Trieste)
Vladimir Lotoreichik (Prague) Teoman Turgut (Istanbul)

Main Topics:
  • Unitary gases and mixtures, stability, trimer losses and re-combinations, Efimov states, Thomas effect, three-body parameters,
  • Zero-range Hamiltonians of Ter-Martyrosian-Skornyakov type for particle systems with contact interactions.
  • Approximation schemes with finite-range potentials.
  • Models of contact interactions supported on curves and hyper-surfaces.
  • Linear and non-linear Schrödinger equations with point-like perturbations. 
  • Dynamical and dispersive properties of singular perturbations of the Laplacian, and fractional singular Sobolev spaces.
  • Point interaction Hamiltonians on finite domains and spectral shape optimisation.
  • Self-adjoint extension theories, boundary triplet theory, and Krein-like formulas.
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