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The most probable wave function of a single free moving particle

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.

preprint2009arXivOpen access
Agung Budiyono
quant-ph
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Agung Budiyono

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