A Class of Self-Trapped and Self-Focusing Wave Functions in Madelung Fluid Picture of A Single Free Particle Quantum System

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dc.creatorBudiyono, Agung
dc.creatorUmeno, Ken
dc.date2009-03-13
dc.date.accessioned2026-07-07T12:52:19Z
dc.date.available2026-07-07T12:52:19Z
dc.descriptionUsing the Madelung fluid picture of Schrödinger equation for a single free particle moving in one spatial dimension, we shall specify a class of wave functions whose quantum probability density is being trapped by the quantum potential it itself generates. The global convexity of the quantum potential generated by the initial self-trapped wave function will then be shown to further localize the quantum probability density through a self-generated focusing equation for a finite interval of time.
dc.identifierhttps://arxiv.org/abs/0903.2300
dc.identifierhttp://arxiv.org/abs/0903.2300
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223262
dc.subjectQuantum Physics
dc.titleA Class of Self-Trapped and Self-Focusing Wave Functions in Madelung Fluid Picture of A Single Free Particle Quantum System
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