Jan 16 – 20, 2023
IMT
Europe/Paris timezone

Raffaele Carlone: "A ionization model"

Not scheduled
55m
Amphithéâtre Schwartz (IMT)

Amphithéâtre Schwartz

IMT

Université Paul Sabatier, 118 Route de Narbonne, 31000 Toulouse France

Description

In the first part of the talk, it will be discussed the dynamics of a polaron (a quantum particle coupled to bosonic fields) in the quasi-classical regime: in such a regime, the effective dynamics for the quantum particles are approximated by the one generated by a time-dependent point interaction, i.e., a singular time-dependent perturbation of the Laplacian supported in a point.

In the second part, it will be analyzed the effective equation and, in particular: global well-posedness of the associated Cauchy problem under general assumptions on the potential and the initial datum and, for a monochromatic periodic potential; the asymptotic behavior of the survival probability of a bound state of the time-independent problem.

Joint work with M. Correggi, L. Tentarelli, M. Falconi, M. Olivieri, R. Figari, W. Borrelli

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