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

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 th...

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Bibliographic Details
Published in:Chinese science bulletin 2012-05, Vol.57 (13), p.1494-1498
Main Authors: Wang, PingXiao, Wang, JiaXiang, Huo, YuKun, Scheid, Werner, Hora, Heinrich
Format: Article
Language:English
Subjects:
Amplitudes
Chemistry/Food Science
Earth Sciences
Engineering
equations
Humanities and Social Sciences
Life Sciences
Mathematical analysis
multidisciplinary
Phase shift
Phase velocity
Physics
probability distribution
Science
Science (multidisciplinary)
Trajectories
Wave functions
wave physics
德布罗意波
概率分布
波函数
相速度
速度分布
量子
静止状态
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Summary: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-Hänchen shift in de Broglie waves.
ISSN:1001-6538
1861-9541
DOI:10.1007/s11434-012-5051-0