Portal de Periódicos da CAPES

Wave packet scattering from time-varying potential barriers in one dimension

2014; American Institute of Physics; Volume: 82; Issue: 2 Linguagem: Inglês

10.1119/1.4833557

1943-2909

R. M. Dimeo,

Spectroscopy and Quantum Chemical Studies

We discuss a solution of the time-dependent Schrödinger equation that incorporates absorbing boundary conditions and a method for extracting the reflection and transmission probabilities for wave packets interacting with time-dependent potential barriers. We apply the method to a rectangular barrier that moves with constant velocity, an oscillating rectangular barrier, a locally periodic barrier with an amplitude modulated by a traveling wave, and a locally periodic potential with an amplitude modulated by a standing wave. Visualizations of the reflection phenomena are presented with an emphasis on understanding these systems from their dynamics. Applications to non-stationary neutron optics experiments are discussed briefly.