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

作　　者：WANG PingXiao WANG JiaXiang HUO YuKun SCHEID Werner HORA Heinrich 

机构地区：[1]Key Laboratory of Applied Ion Beam Physics(Ministry of Education)and Institute of Modern Physics,Department of Nuclear Science and Technology,Fudan University,Shanghai 200433,China [2]State Key Laboratory of Precision Spectroscopy and Department of Physics,East China Normal University,Shanghai 200062,China [3]Institute for Theoretical Physics,Justus-Liebig-University,Giessen D-35392,Germany [4]Department of Theoretical Physics,University of New South Wales,Sydney 2052,Australia

出　　处：《Chinese Science Bulletin》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)

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.

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 

分 类 号：O413.1[理学—理论物理] O211.3[理学—物理]