Chin. Phys. Lett.  2007, Vol. 24 Issue (10): 2741-2744    DOI:
Original Articles |
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
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WU Xiang-Yao, ZHANG Bai-Jun, LI Hai-Bo et al  2007 Chin. Phys. Lett. 24 2741-2744
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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.
Keywords: 03.75.-b      61.14.Hg     
Received: 08 May 2007      Published: 20 September 2007
PACS:  03.75.-b  
  61.14.Hg  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2007/V24/I10/02741
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WU Xiang-Yao
ZHANG Bai-Jun
LI Hai-Bo
LU Jing-Bin
LIU Xiao-Jing
WANG Li
ZHANG Chun-Li
LIU Bing
FAN Xi-Hui
GUO Yi-Qing
[1] Carnal O and Mlynek J 1991 Phys. Rev. Lett. 66 2689
[2] Sch\"{ollkopf W and Toennies P J 1994 Science 266 1345
[3] Arudt M et al%, Nairz O, Voss-Andreae J, Kwller C, Vander Zouw G and Zeilinger A1999 Nature 401 680
[4] Nairz O, Arudt M and Zeilinger A 2000 J. Mod. Opt. 47 2811
[5] Kunze S, Dieckmann k and Rempe G 1997 Phys. Rev. Lett. 78 2038
[6] Brezger B et al%, Hackermuller L, Uttenthaler S, Petschinka J, Arndt M and Zeilinger A2002 Phys. Rev. Lett. 88 100404
[7] Sanz S A, Borondo F and Bastiaans J M 2005 Phys. Rev. A 71 042103
[8] Wu X Y et al %, Yang J H, Liu X J, Wang L, Liu B, Fan X H and Guo Y Q2007 Chin. Phys. Lett. 24 1813
[9] Jackson J D 1999 Classical Electrodynamics (Chichester: Wiley) chap 10 p 579
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