Semiclassical Propagation of Wavepackets with Complex and Real Trajectories

A prominent consequence of this is the ne- cessity to take into account classical trajectories in a phase space made of complex numbers, hence the name of ‘‘com- plex

In the specific case of scattering by a spherical symmetric potential, the physical information is contained in the phase-shift. Its real part is a generating function for

Due to the discrete nature of the charge carriers, the current presents some fluctuations (noise) known as shot noise , which we aim to characterize here (not to be confused with

Control of autonomous ordinary differential equations In short, we have a method using piecewise uniform cubic B´ ezier curves to approximate optimal trajectories.. This method can

One of the main result of the present paper is to show that, approaching the limit t → −∞ on the time evolution of the classical dynamics by a correlated semiclassical limit of

Semiclassical uniform in N estimates for the N -body quantum propagation are stated and proved in Section 8 and the three appendices A, B and C are devoted respectively to the proof

In fact, the equation for b t (x) has turned to be a linear Schr¨ odinger equation with an harmonic potential (and all constants appearing in the potential terms are finite thanks

Un- der these regularity conditions on the potential (in addition to some growing at infinity) the Schr¨ odinger equation is well posed for all positive values of the Planck