BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Michele Correggi (Politecnico di Milano) DTSTART:20220705T140000Z DTEND:20220705T150000Z DTSTAMP:20260801T121936Z UID:IAMP_seminars/100 DESCRIPTION:Title: Ground State Properties in the Quasi-Classical Regime\nby Mich ele Correggi (Politecnico di Milano) as part of One world IAMP mathematica l physics seminar\n\n\nAbstract\nWe study the ground state energy and grou nd states of systems coupling non-relativistic quantum particles and force -carrying Bose fields\, such as radiation\, in the quasi-classical approxi mation. The latter is very useful whenever the force-carrying field has a very large number of excitations\, and thus behaves in a semiclassical way \, while the non-relativistic particles\, on the other hand\, retain their microscopic features. We prove that the ground state energy of the fully microscopic model converges to the one of a nonlinear quasi classical func tional depending on both the particles' wave function and the classical co nfiguration of the field. Equivalently\, this energy can be interpreted as the lowest energy of a Pekar-like functional with an effective nonlinear interaction for the particles only. If the particles are confined\, the gr ound state of the microscopic system converges as well\, to a probability measure concentrated on the set of minimizers of the quasi classical energ y.\n LOCATION:https://researchseminars.org/talk/IAMP_seminars/100/ END:VEVENT END:VCALENDAR