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arXiv · 0801.1834

Non-dispersive wavepacket solutions of the Schrodinger equation

Shaun N. Mosley
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Abstract

The free Schrodinger equation has constant velocity wavepacket solutions ψ_{\bf v} of the form ψ= 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 ψ_{\bf v} can act as basis states rather than the usual plane wave solutions.

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Shaun N. Mosley. 2008-02-01. Non-dispersive wavepacket solutions of the Schrodinger equation. https://doi.org/10.1088/1751-8113/41/26/265305

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