Counterpropagating Wavepacket Solutions of the Time-Dependent Schroedinger Equation for a Decaying Potential Field
Quantum Physics
2012-09-11 v1 Mathematical Physics
math.MP
Abstract
We investigate wavepacket solutions for time-dependent Schoedinger equation in the presence of an exponentially decaying potential. Assuming for travelling wave solutions the phase to be a linear combination of the space and time coordinates, we obtain two distinct wavepacket solutions for the Schroedinger equation. The wavepackets counterpropagate in space at a constant velocity without any distortion or spreading thus retain their initial form at arbitrarily large distances.
Cite
@article{arxiv.0902.4355,
title = {Counterpropagating Wavepacket Solutions of the Time-Dependent Schroedinger Equation for a Decaying Potential Field},
author = {Babur M. Mirza},
journal= {arXiv preprint arXiv:0902.4355},
year = {2012}
}
Comments
10 pages, 4 figures