Journal article

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


Authors listWang PingXiao; Wang JiaXiang; Huo YuKun; Scheid, Werner; Hora, Heinrich

Publication year2012

Pages1494-1498

JournalChinese Science Bulletin

Volume number57

Issue number13

ISSN1001-6538

Open access statusBronze

DOI Linkhttps://doi.org/10.1007/s11434-012-5051-0

PublisherWorld Scientific Publishing / Springer Verlag (Germany) / SpringerOpen


Abstract
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-Hanchen shift in de Broglie waves.



Citation Styles

Harvard Citation styleWang PingXiao, Wang JiaXiang, Huo YuKun, Scheid, W. and Hora, H. (2012) Relating the probability distribution of a de Broglie wave to its phase velocity, Chinese Science Bulletin, 57(13), pp. 1494-1498. https://doi.org/10.1007/s11434-012-5051-0

APA Citation styleWang PingXiao, Wang JiaXiang, Huo YuKun, Scheid, W., & Hora, H. (2012). Relating the probability distribution of a de Broglie wave to its phase velocity. Chinese Science Bulletin. 57(13), 1494-1498. https://doi.org/10.1007/s11434-012-5051-0



Keywords


de Broglie waveGoos-Hanchen shiftINERTIAL FRAMESINVARIANCEphase velocityQUANTUM-MECHANICS

Last updated on 2025-10-06 at 10:06