相对论的德布罗意物质波及其应用于量子跃迁Rabi振荡过程
Relativistic De Broglie Matter Wave and Its Application to Dynamic Rabi Flopping in Quantum Transition
DOI: 10.12677/MP.2018.83017, PDF,  被引量   
作者: 崔怀洋*：北京航空航天大学物理系，北京
关键词: 量子跃迁；交流电；选择定则；Quantum Transition； Alternating Current； Selection Rule
摘要: 使用一种推广德布罗意物质波到相对论中去的新方法，写出了相对论德布罗意物质波的数学表达式。把相对论德布罗意物质波成功地应用于研究一个原子吸收一个光子的Rabi振荡动态过程。在电磁波的作用下，原子内部的电子概率分布会发生动态变化而形成交流电，并与外来电磁波发生共振。在共振过程中，原子吸收或发射一个光子能量的电磁波而完成一次跃迁。共振条件也就成为量子跃迁的选择定则。用计算机模拟了原子量子跃迁从开始到结束的动态过程曲线。
Abstract: A new approach is used for extending the De Broglie matter wave to relativistic formalism. The relativistic matter wave expression is obtained, and successfully applied to analyze the dynamic process of Rabi flopping in atomic quantum transition. Under external electromagnetic wave, the electronic probability flow in an atom becomes an alternating current, positively responding to the external electromagnetic wave. In the resonance process, the atomic alternating current absorbs or emits the electromagnetic wave energy by the amount of one photon energy. The resonance condition is just the selection rule. The dynamic evolution curve was calculated by computer simulation.
文章引用：崔怀洋. 相对论的德布罗意物质波及其应用于量子跃迁Rabi振荡过程[J]. 现代物理, 2018, 8(3): 139-147. https://doi.org/10.12677/MP.2018.83017

参考文献

[1] Gasiorowicz, S. (2003) Quantum Physics. John Wiley & Sons, 5.
[2] 曾谨言. 量子力学, 上册[M]. 科学出版社, 1982: 18.
[3] 崔怀洋. 相对论的德布罗意物质波及其应用于Aharonov-Bohm效应[J]. 大学物理, 2017, 36(8): 1-4+35.
[4] Bohm, D. (1952) A Suggested Interpretation of the Quantum Theory in Terms of Hidden Variables. I. Physical Review, 85, 166-179. [Google Scholar] [CrossRef] 
[5] Bohm, D. (1952) A Suggested Interpretation of the Quantum Theory in Terms of Hidden Variables. II. Physical Review, 85, 180-193. [Google Scholar] [CrossRef] 
[6] Einstein, A., Podolsky, B. and Rosen, N. (1935) Can Quantum-Mechanical Description of Physical Reality Be Considered Complete. Physical Review, 47, 777-780. [Google Scholar] [CrossRef] 
[7] Sanz, A.S. and Borondo, F. (2007) A Quantum Trajectory Description of Decoherence. The European Physical Journal D, 44, 319-326.
[8] 沈慧川, 译. 德布罗意文选[M]. 北京大学出版社, 2012.
[9] Griffith, D. (2006) Introduction to Quantum Mechanics. 机械工业出版社, 346. (英文影印).
[10] Griffith, D. (2006) Introduction to Quantum Mechanics. 机械工业出版社, 348. (英文影印).