Particle-like wave packets in complex scattering systems

Core Scattering of Stark Wave Packets

Visualization of the core-scattering dynamics of Rydberg wave packets.

We present classical and quantum studies of the scattering dynamics of Rydberg electron wave packets from the electronic core of alkali atoms. In quantum systems an ideal state for studying such effects is an angularly localized wavepacket in which the primary effect of the scattering is to cause precession. The scattering is enhanced by the application of an external dc electric field. We calc...

Transfer and scattering of wave packets by a nonlinear trap.

In the framework of a one-dimensional model with a tightly localized self-attractive nonlinearity, we study the formation and transfer (dragging) of a trapped mode by "nonlinear tweezers," as well as the scattering of coherent linear wave packets on the stationary localized nonlinearity. The use of a nonlinear trap for dragging allows one to pick up and transfer the relevant structures without ...

Wave Operators for Classical Particle Scattering

We discuss the fundamentals of classical particle scattering of a two body system in forces which are 0 (r~~) at infinity along with their Lipshitz constants. We prove asymptotic completeness for this two-body case. Of particular interest is the fact that in the absence of control on Lipshitz constants at oo, two solutions of the interacting equation may be asymptotic to the same free solution ...

Non-dispersive wave packets in periodically driven quantum systems

With the exception of the harmonic oscillator, quantum wave-packets usually spread as time evolves. This is due to the non-linear character of the classical equations of motion which makes the various components of the wave-packet evolve at various frequencies. We show here that, using the nonlinear resonance between an internal frequency of a system and an external periodic driving, it is poss...