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.