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Quantum Theory of Electronic Double-Slit Diffraction

Hong Li, Nuo Ba, Xiang-Yao Wu +5 more

Journal of Jishou UniversityMay 25, 20130 citations

Electron Single and Double-slit Diffraction in the Temporal Domain

Wilhelm, Becker, Milosevic +1 more

量子光学学报Jan 1, 20060 citations

Research on Diffraction of Low-energy Neutron with a New Approach of Quantum Theory

Li U

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.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.

Journal of Jilin University(Science Edition)Jan 1, 20080 citations

Quantum theory of neutron double-slit diffraction

Xiao-Jing Liu, Baijun Zhang, Haibo Li +5 more

By solving Schrdinger equation exactly, we obtain the neutron wave function in the slit. With the Kirchhoff’s law, we obtain the neutron diffraction function. Finally, we obtain the mathematical relation between the relative diffraction intensity of neutron double-slit diffraction and the diffraction position. The calculation result is in accordance with the experimental data.

Acta Physica SinicaJan 1, 20100 citations

A Quantum Mechanics Treatment of Electron Diffraction by a Slit

Francisco Carlos Lovey

Microscopy and MicroanalysisMar 1, 20200 citations

Quantum Theory of Low-Energy Neutron Double-Slit Diffraction

Yi-Qing Guo

The phenomena of electron,neutron,atomic and molecular diffraction were researched by many experiments in recent year and these experiments were explained by various theory.In this paper,we study the double-slit diffraction of neutron with an approach of quantum mechanics at frist.We find some new results: When slit width a and slit distance d is the ratio of(a+d)/a=n(n=1,2,3,…),order 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;The length of slit b only affects the diffraction intensity while the thickness c not only affects the intensity,but also changes the missing order in diffraction patterns.The phenomena of electron,neutron,atomic and molecular diffraction were researched by many experiments in recent year and these experiments were explained by various theory.In this paper,we study the double-slit diffraction of neutron with an approach of quantum mechanics at frist.We find some new results: When slit width a and slit distance d is the ratio of(a+d)/a=n(n=1,2,3,…),order 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;The length of slit b only affects the diffraction intensity while the thickness c not only affects the intensity,but also changes the missing order in diffraction patterns.

Nuclear Instruments and Methods in Physics Research Section B Beam Interactions with Materials and AtomsJan 1, 20090 citations

Quantum Theory Approach for Neutron Single and Double-Slit Diffraction

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