Geometric and analytic problems in the study of contact interactions

21 November 2017
November 21, 2017
Contatti: 
Staff Dipartimento di Matematica

Università degli Studi Trento
38123 Povo (TN)
Tel +39 04 61/281508-1625-1701-3898-1980.
dept.math [at] unitn.it

Venue: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Aula Seminari "-1"
Hour: 14.00 

Speakers:

  • Vladimir Lotoreichik (NPI CAS Prague)
  • Alessandro Michelangeli (SISSA Trieste)

Abstract:

We plan to give a very informal survey of a few topical problems in the rigorous treatment of quantum interactions with zero range.
This is part of the research activity of our present visit at the CIRM Trento. In the first half we present an outlook on the spectral optimization problems arising when a quantum particle moves free in the space or in a domain in the presence of a contact interaction.
In the second half we flash the problem of the construction of physically relevant and mathematically rigorous Hamiltonians of point interaction for systems of particles (such as the "unitary gases") and the study of their spectral features (such as the Thomas and the Efimov effect).

The speakers are involved in the CIRM program Research in Pairs

Contact person: Davide Pastorello