Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes
Quantum speed limits of relativistic charged spin-0 and spin-1 bosons in the background of a homogeneous magnetic field are studied on both commutative and noncommutative planes. We show that, on the commutative plane, the average speeds of wave packets along the radial direction during the interval...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/4739596 |
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| _version_ | 1832549400271912960 |
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| author | Kang Wang Yu-Fei Zhang Qing Wang Zheng-Wen Long Jian Jing |
| author_facet | Kang Wang Yu-Fei Zhang Qing Wang Zheng-Wen Long Jian Jing |
| author_sort | Kang Wang |
| collection | DOAJ |
| description | Quantum speed limits of relativistic charged spin-0 and spin-1 bosons in the background of a homogeneous magnetic field are studied on both commutative and noncommutative planes. We show that, on the commutative plane, the average speeds of wave packets along the radial direction during the interval in which a quantum state is evolving from an initial state to the orthogonal final one can not exceed the speed of light, regardless of the intensities of the magnetic field. However, due to the noncommutativity, the average speeds of the wave packets on noncommutative plane will exceed the speed of light in vacuum provided the intensity of the magnetic field is strong enough. It is a clear signature of violating Lorentz invariance in the relativistic quantum mechanics region. |
| format | Article |
| id | doaj-art-b6e42a0ca4fb4316a44c177fb31ec65e |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-b6e42a0ca4fb4316a44c177fb31ec65e2025-02-03T06:11:25ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/47395964739596Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative PlanesKang Wang0Yu-Fei Zhang1Qing Wang2Zheng-Wen Long3Jian Jing4Department of Physics and Electronics, School of Science, Beijing University of Chemical Technology, Beijing 100029, ChinaDepartment of Physics and Electronics, School of Science, Beijing University of Chemical Technology, Beijing 100029, ChinaCollege of Physics and Technology, Xinjiang University, Urumqi 830046, ChinaCollege of Physics, Guizhou University, Guiyang 550025, ChinaDepartment of Physics and Electronics, School of Science, Beijing University of Chemical Technology, Beijing 100029, ChinaQuantum speed limits of relativistic charged spin-0 and spin-1 bosons in the background of a homogeneous magnetic field are studied on both commutative and noncommutative planes. We show that, on the commutative plane, the average speeds of wave packets along the radial direction during the interval in which a quantum state is evolving from an initial state to the orthogonal final one can not exceed the speed of light, regardless of the intensities of the magnetic field. However, due to the noncommutativity, the average speeds of the wave packets on noncommutative plane will exceed the speed of light in vacuum provided the intensity of the magnetic field is strong enough. It is a clear signature of violating Lorentz invariance in the relativistic quantum mechanics region.http://dx.doi.org/10.1155/2017/4739596 |
| spellingShingle | Kang Wang Yu-Fei Zhang Qing Wang Zheng-Wen Long Jian Jing Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes Advances in High Energy Physics |
| title | Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes |
| title_full | Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes |
| title_fullStr | Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes |
| title_full_unstemmed | Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes |
| title_short | Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes |
| title_sort | quantum speed limit for relativistic spin 0 and spin 1 bosons on commutative and noncommutative planes |
| url | http://dx.doi.org/10.1155/2017/4739596 |
| work_keys_str_mv | AT kangwang quantumspeedlimitforrelativisticspin0andspin1bosonsoncommutativeandnoncommutativeplanes AT yufeizhang quantumspeedlimitforrelativisticspin0andspin1bosonsoncommutativeandnoncommutativeplanes AT qingwang quantumspeedlimitforrelativisticspin0andspin1bosonsoncommutativeandnoncommutativeplanes AT zhengwenlong quantumspeedlimitforrelativisticspin0andspin1bosonsoncommutativeandnoncommutativeplanes AT jianjing quantumspeedlimitforrelativisticspin0andspin1bosonsoncommutativeandnoncommutativeplanes |