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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Format: | Article |
Language: | English |
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Wiley
2016-01-01
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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. |
format | Article |
id | doaj-art-9a098fa395134bf99e63321392f1c70e |
institution | Kabale University |
issn | 1687-7357 1687-7365 |
language | English |
publishDate | 2016-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT xiaoboguo quantumtunnelingindeformedquantummechanicswithminimallength AT bochenlv quantumtunnelingindeformedquantummechanicswithminimallength AT juntao quantumtunnelingindeformedquantummechanicswithminimallength AT pengwang quantumtunnelingindeformedquantummechanicswithminimallength |