Non-dispersive wavepacket solutions of the Schrodinger equation
Quantum Physics
2009-11-13 v5
Abstract
The free Schrodinger equation has constant velocity wavepacket solutions \psi_{\bf v} of the form \psi= f({\bf r} - {\bf v}t) e^{- i m c^2 t / 2}. These solutions are eigenvectors of a momentum operator {\bf \tilde p} which is symmetric in a positive definite scalar product space. We discuss whether these \psi_{\bf v} can act as basis states rather than the usual plane wave solutions.
Cite
@article{arxiv.0801.1834,
title = {Non-dispersive wavepacket solutions of the Schrodinger equation},
author = {Shaun N. Mosley},
journal= {arXiv preprint arXiv:0801.1834},
year = {2009}
}
Comments
12 pages, parameters amended to yield correct dimension and new section added on relativistic extension