Quantum Theory of Electronic Double-Slit Diffraction
WU Xiang-Yao1, ZHANG Bai-Jun1, LI Hai-Bo1, LU Jing-Bin2, LIU Xiao-Jing1, WANG Li1, ZHANG Chun-Li1, LIU Bing1, FAN Xi-Hui3, GUO Yi-Qing1
1Institute of Physics, Jilin Normal University, Siping 1360002Institute of Physics, Jilin University, Changchun 1300233Department of Physics, Qufu Normal University, Qufu 2731654Institute of High Energy Physics, PO Box 918(3), Chinese Academy of Sciences, Beijing 100049
Quantum Theory of Electronic Double-Slit Diffraction
1Institute of Physics, Jilin Normal University, Siping 1360002Institute of Physics, Jilin University, Changchun 1300233Department of Physics, Qufu Normal University, Qufu 2731654Institute of High Energy Physics, PO Box 918(3), Chinese Academy of Sciences, Beijing 100049
摘要Phenomena of electron, neutron, atomic and molecular diffraction have been studied in many experiments, and these experiments have been explained by some theoretical works. We study electronic double-slit diffraction with a quantum mechanical approach and obtain the following results: (1) When the ratio of d+a/a=n (n=1, 2, 3,...), orders n, 2n, 3n,... are missing in diffraction pattern. (2) When the ratio of d+a/a≠n (n=1, 2, 3,...), there is not missing order in diffraction pattern. (3) The slit thickness c has a large affect on the electronic diffraction pattern, which is a new quantum effect. We believe that all the predictions in our work can be tested by the electronic double slit diffraction experiment.
Abstract：Phenomena of electron, neutron, atomic and molecular diffraction have been studied in many experiments, and these experiments have been explained by some theoretical works. We study electronic double-slit diffraction with a quantum mechanical approach and obtain the following results: (1) When the ratio of d+a/a=n (n=1, 2, 3,...), orders n, 2n, 3n,... are missing in diffraction pattern. (2) When the ratio of d+a/a≠n (n=1, 2, 3,...), there is not missing order in diffraction pattern. (3) The slit thickness c has a large affect on the electronic diffraction pattern, which is a new quantum effect. We believe that all the predictions in our work can be tested by the electronic double slit diffraction experiment.
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2007, Vol. 24 
