Quantum Tunneling in Deformed Quantum Mechanics with Minimal Length

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 nucl...

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Main Authors: Xiaobo Guo, Bochen Lv, Jun Tao, Peng Wang
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2016/4502312
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author Xiaobo Guo
Bochen Lv
Jun Tao
Peng Wang
author_facet Xiaobo Guo
Bochen Lv
Jun Tao
Peng Wang
author_sort Xiaobo Guo
collection DOAJ
description 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.
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institution Kabale University
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publishDate 2016-01-01
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series Advances in High Energy Physics
spelling doaj-art-9a098fa395134bf99e63321392f1c70e2025-02-03T01:23:58ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/45023124502312Quantum Tunneling in Deformed Quantum Mechanics with Minimal LengthXiaobo Guo0Bochen Lv1Jun Tao2Peng Wang3School of Science, Southwest University of Science and Technology, Mianyang 621010, ChinaCenter for Theoretical Physics, College of Physical Science and Technology, Sichuan University, Chengdu 610064, ChinaCenter for Theoretical Physics, College of Physical Science and Technology, Sichuan University, Chengdu 610064, ChinaCenter for Theoretical Physics, College of Physical Science and Technology, Sichuan University, Chengdu 610064, ChinaIn 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.http://dx.doi.org/10.1155/2016/4502312
spellingShingle Xiaobo Guo
Bochen Lv
Jun Tao
Peng Wang
Quantum Tunneling in Deformed Quantum Mechanics with Minimal Length
Advances in High Energy Physics
title Quantum Tunneling in Deformed Quantum Mechanics with Minimal Length
title_full Quantum Tunneling in Deformed Quantum Mechanics with Minimal Length
title_fullStr Quantum Tunneling in Deformed Quantum Mechanics with Minimal Length
title_full_unstemmed Quantum Tunneling in Deformed Quantum Mechanics with Minimal Length
title_short Quantum Tunneling in Deformed Quantum Mechanics with Minimal Length
title_sort quantum tunneling in deformed quantum mechanics with minimal length
url http://dx.doi.org/10.1155/2016/4502312
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AT bochenlv quantumtunnelingindeformedquantummechanicswithminimallength
AT juntao quantumtunnelingindeformedquantummechanicswithminimallength
AT pengwang quantumtunnelingindeformedquantummechanicswithminimallength