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Journal of Jilin University(Science Edition)

Quantum Theory of Light Double-Slit Diffraction

Yi-Qing Guo

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

The light wave function in slits were obtained by means of solving relativistic wave equation,and the light diffraction wave function obtained with Kirchhoff's law,thereby,the light diffraction intensity formula was obtained.The results show that calculated results are in accordance with the experiment data.

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In this paper,the light double-slit diffraction with quantum theory approach is studied.Firstly,the light wave function in slits is calculated,and the diffraction wave function is obtained with Kirchhoff’s law.The diffraction intensity is proportional to the diffraction wave function da party.Futhermore,the intensity formula of light double-slit diffraction is obtained;by comparing the quantum theory calculation results and classical electromagnetic theory calculation results and the experimental date,it is found that the calculate result of quantum theory is in accordance with the experment data,but the classical electromagnetic theory calculation result with the experiment date has certain deviation.So,the quantum theory can explain the light diffraction more precisely.The proposed method can also further study the light of the single slit,many slits and grating diffraction experiment phenomena.
In this paper, we study the light double-slit diffraction experiment with quantum theory approach. Firstly, we calculate the light wave function in slits by quantum theory of photon. Secondly, we calculate the diffraction wave function with Kirchhoff's law. Thirdly, we give the diffraction intensity of light double-slit diffraction, which is proportional to the square of diffraction wave function. Finally, we compare calculation result of quantum theory and classical electromagnetic theory with the experimental data. We find the quantum calculate result is accordance with the experiment data, and the classical calculation result with certain deviation. So, the quantum theory is more accurately approach for studying light diffraction.
At the present time,the phenomena of many particles diffraction have been studied in many experiments,and these experiments have been explained by some theoretical works.We study the double-slit diffraction by a quantum mechanical approach.Starting from the Schredinger equation and using Kirchhoff's law,we obtain the diffraction wave functions for the double-slit.We find that when the effects of decoherece is considered in the C60 double-slit diffraction,the calculation results are in accordance with experimental data.
At present, the theory of light diffraction only has the simple wave-optical approach. In this paper, we study light diffraction with the relativistic quantum theory approach. We find that the slit length, slit width, slit thickness and wavelength of light affect the diffraction intensity and form of diffraction pattern. However, the effect of slit thickness on the diffraction pattern cannot be explained by wave-optical approach, but it can be explained in quantum theory. We compare the theoretical results with single- and multiple-slits experimental data, and find the theoretical results are in accordance with the experimental data. In addition, we give some theory predictions. We think all new predictions will be tested by the light diffraction experiment.