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, held respectively in Munich in 2014 and in Trieste in 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 quantum gases with point interactions
  • Models of point interactions 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
  • Non-linear Schrödinger equations with concentrated non-linearities
  • Singular perturbations of the Dirac operator
  • Self-adjoint extension theories and Krein-like formulas
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