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Relating the probability distribution of a de Broglie wave to its phase velocity

Relating the probability distribution of a de Broglie wave to its phase velocity
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摘要 We show that the phase velocity in a stationary state of a de Broglie wave can be directly obtained from the probability distribution, i.e. the quantum trajectories, without detailed knowledge of the phase term itself. In other words, the amplitude of a de Broglie wave function describes not only the probability distribution but also the phase velocity distribution. Using this relationship, we comment on two calculations of the Goos-H nchen shift in de Broglie waves. We show that the phase velocity in a stationary state of a de Broglie wave can be directly obtained from the probability distribu- tion, i.e. the quantum trajectories, without detailed knowledge of the phase term itself. In other words, the amplitude of a de Broglie wave function describes not only the probability distribution but also the phase velocity distribution. Using this relationship, we comment on two calculations of the Goos-Hanchen shift in de Broglie waves.
出处 《Chinese Science Bulletin》 SCIE CAS 2012年第13期1494-1498,共5页
基金 supported by the Program for New Century Excellent Talents in University, Chinese Ministry of Education supported by the National Natural Science Foundation of China (10975036)
关键词 德布罗意波 概率分布 相速度 静止状态 速度分布 波函数 量子 phase velocity, de Broglie wave, Goos-Hiinchen shift
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