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ACTA PHOTONICA SINICA

Photon Double-slit Diffraction with Quantum Theory Approach

严立云 YAN Li-yun, 李宏 Li Hong, 刘晓静 Liu Xiaojing, 王婧 Wang Jing, 张斯淇 Zhang Siqi, 吴坤朋 WU Kun-peng, 李春红 LI Chun-hong, 吴向尧 Wu Xiangyao, 郭义庆 GUO Yi-qing

Published Jan 1, 2013• 0 citations
Publisher

Abstract

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.

DOI
10.3788/gzxb20134202.0200

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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.
Motion of microscopic particles has been a very interesting topic.In order to explain the matter wave diffraction problem better,this paper using the new method of quantum theory to studies the Double-slit diffraction of C60 molecules using the new method of quantum theory.First,solve the Double slit diffraction of C60molecules wave functions by Schrodinger equation.Then calculate the diffraction wave function after the slit of C60 molecules with the Feynman path integral quantum theory.To obtain diffraction wave function of diffraction screen.Finally the analytic relation between the double-slit relative diffraction intensity and diffraction pattern position of C60molecules is obtained.The calculation results are in good agreement with the experimental data.This shows that the diffraction microscopic particles need to be studied with quantum theory method completely.This method has universality for the study of the motion of microscopic particles.It also can be used in the study of single slit diffraction, Multi-slit diffraction and grating diffraction for matter wave and other particles.