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Chinese Physics Letters

A New Approach of Quantum Mechanics for Neutron Single-Slit Diffraction

Xiang-Yao Wu, Yang Jing-hai, Xiao-Jing Liu, Li Wang, Liu Bing, Fan Xi-Hui, Guo Yi-Qing

Published Jun 28, 2007• 4 citations
Publisher

Abstract

Phenomena of electron, neutron, atomic and molecular diffraction have been studied in many experiments, and these experiments are explained by many theoretical works. We study neutron single-slit diffraction with a quantum mechanical approach. It is found that the obvious diffraction patterns can be obtained when the single-slit width a is in the range of 3λ~60λ. We also find a new quantum effect of the thickness of single-slit which can make a large impact on the diffraction pattern. The new quantum effect predicted in our work can be tested by the neutron single-slit diffraction experiment.

DOI
10.1088/0256-307x/24/7/008

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We studied electron single-slit,double-slit and three-slit diffraction with a new quantum mechanics approach and obtained the following results.(1) For single-slit diffraction,the thickness of the single-slit can make a large impact on the diffraction intensity and pattern.(2) For double-slit diffraction,when the ratio of(a+d)/a=n(n=1,2,3,…),orders n,2n,3n,… are missing in diffraction pattern,when the ratio of(a+d)/a≠n(n=1,2,3,…),there isn't missing order in diffraction pattern.(3) For double-slit diffraction,it can be found that when the thickness of the double-slit increases,the diffraction intensity and pattern will be changed,and when the thickness of the double-slit increases,the missing order phenomena disappear.(4) For three-slit diffraction,when the thickness of the slit increases,the diffraction intensity and pattern will be changed,and there is one secondary maxima and two minima between the two principle maxima.
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 ,2 n ,3 n ,… 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.