Wednesday, June 22, 2022 - 16:15 in ZOOM - Video Conference
Complete ionization for a non-autonomous point interaction model in d=2
A talk in the Oberseminar Analysis series by
William Borrelli from Universita Cattolica del Sacro Cuore
| Abstract: |
We consider the two dimensional Schrödinger equation with a time dependent point interaction, which represents a model for the dynamics of a quantum particle subject to a point interaction whose strength varies in time. First, we prove global wellposedness of the associated Cauchy problem under general assumptions on the potential and on the initial datum. Then, for a monochromatic periodic potential (which also satisfies a suitable no-resonance condition) we investigate the asymptotic behavior of the survival probability of the bound state of the hamiltonian at time $t=0$ (ionization problem). Such probability is shown to have a time decay of order $(log\ t/t)^2$ , up to lower order terms.
Based on a joint work with Raffaele Carlone ("Federico II” University, Naples) and Lorenzo Tentarelli (Politecnico Torino). Preprint available at $\href{https://arxiv.org/abs/2108.06564}{arXiv:2108.06564}$
Zoom Meeting ID: 986 0677 6055
Password: 430747
$\href{https://uni-bielefeld.zoom.us/j/98606776055?pwd=azBFdUVaQnJMU01tWjZUVEdxN2x5Zz09}{\textbf{Join Zoom Meeting}}$
Within the CRC this talk is associated to the project(s): A1 |
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