Babur M. Mirza. Counterpropagating Wavepacket Solutions of the Time-dependent Schroedinger Equation for a Decaying Potential Field
Natural Sciences / Physics / Quantum field theory
Submitted on: Jun 10, 2012, 18:59:38
Description: 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.