Time-dependent delta-interactions for 1D Schr\"odinger Hamiltonians (2009)
Hmidi, Taoufik, Mantile, Andrea, Nier, Francis
The non autonomous Cauchy problem for time dependent 1D point interactions is considered. The regularity assumptions for the coupling parameter are accurately analyzed and show that the general...
Time-dependent delta-interactions for 1D Schrödinger Hamiltonians (2009)
Hmidi, Taoufik, Mantile, Andrea, Nier, Francis
The non autonomous Cauchy problem for time dependent 1D point interactions is considered. The regularity assumptions for the coupling parameter are accurately analyzed and show that the general...
Time-dependent delta-interactions for 1D Schrödinger Hamiltonians (2009)
Hmidi, Taoufik, Mantile, Andrea, Nier, Francis
The non autonomous Cauchy problem for time dependent 1D point interactions is considered. The regularity assumptions for the coupling parameter are accurately analyzed and show that the general...
Faraj, Ali, Mantile, Andrea, Nier, Francis
We consider the stationary Schrödinger-Poisson model with a background potential describing a quantum well. The Hamiltonian of this system composes of contributions the background potential well...
Faraj, Ali, Mantile, Andrea, Nier, Francis
We consider the stationary Schrödinger-Poisson model with a background potential describing a quantum well. The Hamiltonian of this system composes of contributions the background potential well...
We investigate relations between spectral properties of a single-centre point-interaction Hamiltonian describing a particle confined to a bounded domain $\Omega\subset\mathbb{R}^{d},\: d=2,3$, with...
Ionization for Three Dimensional Time-dependent Point Interactions (2007)
Correggi, Michele, Dell'Antonio, Gianfausto, Figari, Rodolfo, Mantile, Andrea
We study the time evolution of a three dimensional quantum particle under the action of a time-dependent point interaction fixed at the origin. We assume that the ``strength'' of the interaction...
La tesi è dedicata all’analisi asintotica di sistemi dinamici governati da equazioni integrali di tipo Abel. In particolare vengono presi in esame due casi: 1) Il comportamento asintotico per...
Point Interaction Controls for the Energy Transfer in 3-D Quantum Systems (2005)
We consider the problem of energy-mass transfer from scattering to bound states for a one body quantum system under the action of a time dependent point interaction. Under suitable assumptions on the...