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Mathematical challenges of zero-range Physics 2014:
rigorous results and open problems.



Main references referred to in the talks






S. Albeverio
Some remarks on spectral properties of Schrödinger operators with (many) concentric δ-shells and related topics


J. Behrndt
Spectral properties of Schrödinger operators with singular interactions on Lipschitz surfaces


C. Cacciapuoti
Effective dynamics for shrinking waveguides


R. Carlone
Spectral theory of Gesztesy-Šeba realisations of 1D Dirac operators with point interactions


D. Finco
Two fermions and a test particle: a detailed analysis.


R. Figari
Spin-dependent point interactions used in models of quantum environments


A. K. Motovilov
Three body systems with delta interactions with internal degrees of freedom


D. Noja
Non-linear Schrödinger equation and point interactions:  localised defects and concentrated nonlinearities.


A. Posilicano
Non-linear maximal monotone extensions of symmetric operators


F. Werner
Few-body and many-body physics with zero-range interactions: theory and experiments with ultra-cold atomic gases


on the Efimov effect:






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