3 papers
quant-ph2005
Bloch Oscillators: motion of wave-packets
Vincenzo Grecchi, Andrea Sacchetti
In this paper we review some known results on the motion of Bloch Oscillators in the crystal momentum representation. We emphasize that the acceleration theorem, as usually stated…
math-ph2002
Nonlinear time-dependent one-dimensional Schroedinger equation with double well potential
Andrea Sacchetti
We consider time-dependent Schroedinger equations in one dimension with double well potential and an external nonlinear perturbation. If the initial state belongs to the eigenspace…
math-ph2002
Critical conditions for a stable molecular structure
Vincenzo Grecchi, Andrea Sacchetti
Here, we show how the molecular structure appears and becomes stable for supercritical physical conditions. In particular we consider, for the ammonia molecule in a gas, a simple m…