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Advances in High Energy Physics
Volume 2016, Article ID 2045313, 4 pages
Research Article

Investigation of Free Particle Propagator with Generalized Uncertainty Problem

Physics Department, Shahrood University of Technology, P.O. Box 316, Shahrood 3619995161, Iran

Received 1 March 2016; Revised 11 April 2016; Accepted 24 April 2016

Academic Editor: Mir Faizal

Copyright © 2016 F. Ghobakhloo and H. Hassanabadi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


We consider the Schrödinger equation with a generalized uncertainty principle for a free particle. We then transform the problem into a second-order ordinary differential equation and thereby obtain the corresponding propagator. The result of ordinary quantum mechanics is recovered for vanishing minimal length parameter.