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 inChinese science bulletin Vol. 57; no. 13; pp. 1494 - 1498
Main Authors Wang, PingXiao, Wang, JiaXiang, Huo, YuKun, Scheid, Werner, Hora, Heinrich
Format Journal Article
LanguageEnglish
Published Heidelberg Springer-Verlag 01.05.2012
SP Science China Press
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
de Broglie wave
Goos-Hänchen shift
phase velocity
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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.
Bibliography:11-1785/N
phase velocity, de Broglie wave, Goos-Hiinchen shift
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.
http://dx.doi.org/10.1007/s11434-012-5051-0
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1001-6538
1861-9541
DOI:10.1007/s11434-012-5051-0