Relating the probability distribution of a de Broglie wave to its phase velocity |
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| Authors: | PingXiao Wang JiaXiang Wang YuKun Huo Werner Scheid Heinrich Hora |
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| Institution: | 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 |
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| 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-H nchen shift in de Broglie waves. |
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| Keywords: | phase velocity de Broglie wave Goos-Hiinchen shift |
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