Wavepacket Solutions of the Klein-Gordon Equation
Quantum Physics
2011-11-10 v4 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We find dispersion-free wavepacket solutions to the Klein-Gordon equation, with the only free parameter being the wavepacket velocity . These wavefunctions are eigenvectors of a velocity operator with commuting components which is symmetric in a certain scalar product space. We show that this velocity operator corresponds to a classical generator which may be obtained by a canonical tranformation from .
Cite
@article{arxiv.0707.3352,
title = {Wavepacket Solutions of the Klein-Gordon Equation},
author = {Shaun N. Mosley},
journal= {arXiv preprint arXiv:0707.3352},
year = {2011}
}
Comments
plianTeX, 9 pages, velocity operator canonical transformation included