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Advances in High Energy Physics
Volume 2016 (2016), Article ID 4502312, 8 pages
Research Article

Quantum Tunneling in Deformed Quantum Mechanics with Minimal Length

1School of Science, Southwest University of Science and Technology, Mianyang 621010, China
2Center for Theoretical Physics, College of Physical Science and Technology, Sichuan University, Chengdu 610064, China

Received 14 September 2016; Revised 16 November 2016; Accepted 5 December 2016

Academic Editor: Elias C. Vagenas

Copyright © 2016 Xiaobo Guo et al. 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.


In the deformed quantum mechanics with a minimal length, one WKB connection formula through a turning point is derived. We then use it to calculate tunneling rates through potential barriers under the WKB approximation. Finally, the minimal length effects on two examples of quantum tunneling in nuclear and atomic physics are discussed.