Quantum Theory of Electronic Multiple-Slit Diffraction(General and Mathematical Physics)

概要

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We study electronic multiple-slit diffraction with a quantum mechanical approach. Our theoretical results are in good agreement with classical theoretical calculations and we obtain the following resluts: (1) There are N-2 secondary maxima and N-1 minima between the two principle maxima in diffraction pattern. (2) As the slit number N increasing, the diffraction intensity increases and the pattern width becomes narrow. (3) The slit thickness c dose not have any influence on diffraction pattern when slit width a is far greater than the electronic wavelength λ, for example, the ratio of a/λ=10^5, and at the ratio, the missing-order phenomenon can be observed when d+a/a=n (n=1,2,3…), where d is the distance of slit-to-slit. (4) When a is not far greater than λ (the ratio of a/λ=500), the slit thickness c has an effect on diffraction pattern. The missing-order phenomenon can be shown only if the slit thickness c is small enough, and it disappears when the slit thickness c becomes large. In addition, the slit thickness c affects the relative diffraction intensity of the diffraction pattern.
2009-04-25