arXiv:0907.4190 · Physical Review A

Most probable wave function of a single free-moving particle

Agus Budiyono

Published Oct 22, 2009• 2 citations

Abstract

We develop the most probable wave functions for a single free quantum particle given its momentum and energy by imposing its quantum probability density to maximize Shannon information entropy. We show that there is a class of solutions in which the quantum probability density is self-trapped with finite-size spatial support, uniformly moving, hence keeping its form unchanged.

DOI: 10.1103/physreva.80.042110

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