10 citations · 10 across the 2 of their papers we have counts for
3 papers
math-ph2009
Time-dependent delta-interactions for 1D Schrödinger Hamiltonians
Taoufik Hmidi, Andrea Mantile, Francis Nier
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 tha…
math-ph2007★ 10 cited
Point Interaction Hamiltonians in Bounded Domains
Ph. Blanchard, R. Figari, A. Mantile
Making use of recent techniques in the theory of selfadjoint extensions of symmetric operators, we characterize the class of point interaction Hamiltonians in a 3-D bounded domain…
math.OC2005
Point Interaction Controls for the Energy Transfer in 3-D Quantum Systems
Andrea Mantile
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…