The most probable wave function of a single free moving particle
arXiv:0907.4190 · doi:10.1103/PhysRevA.80.042110
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.
revtex, 4 pages