English

The most probable wave function of a single free moving particle

Quantum Physics 2015-05-13 v1

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.

Keywords

Cite

@article{arxiv.0907.4190,
  title  = {The most probable wave function of a single free moving particle},
  author = {Agung Budiyono},
  journal= {arXiv preprint arXiv:0907.4190},
  year   = {2015}
}

Comments

revtex, 4 pages

R2 v1 2026-06-21T13:28:29.033Z