The most probable wave function of a single free moving particle

Details The most probable wave function of a single free moving particle The most probable wave function of a single free moving particle

2009-07-24

arxiv.org/abs/0907.4190v1

Physics

Quantum Physics

revtex, 4 pages

Scientific paper

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.

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