48 citations · 130 across the 27 of their papers we have counts for
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math.AP2010★ 1 cited
Stability and control of a 1D quantum system with confining time dependent delta potentials
Andrea Mantile
The evolution problem for a quantum particle confined in a 1D box and interacting with one fixed point through a time dependent point interaction is considered. Under suitable assu…
math.AP2010★ 1 cited
Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach
Ali Faraj, Andrea Mantile, Francis Nier
Artificial interface conditions parametrized by a complex number are introduced for 1D-Schrödinger operators. When this complex parameter equals the parameter of…