Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Yunnan Daxue xuebao. Shehui kexue ban

The analysis of quantum states on the Fraunhofer circle aperture diffraction

Huixia Jin

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

Feynman's path integral is used to analyze quantitatively the Fraunhofer circle aperture diffraction.The quantum eigenstate of Circle aperture diffraction is elaborated.

Related papers

The quantum analysis of the two-slit and multiple-slit diffraction of electrons

Huixia Jin

The two-slit and multiple-slit diffraction of electrons have been analyzed by probability amplitude of momentum representation in quantum theory,and the results are in keeping with light's.The quantum eigenstate of the electron diffraction is elaborated.

Yunnan Daxue xuebao. Shehui kexue ban•Jan 1, 2005•0 citations

THE ANALYSIS FOR ELECTRON DIFFRACTION USING PATH INTEGRAL THEORY

Lai Wang

In this paper, single slit diffraction and dowble slit diffraction of electron are taken for the examples of analysis of electron diffraction. Feynman's path integral theory is used to analyze quantitatively the electron diffractive state. This method is brief and clear.

Journal of Nankai University•Jan 1, 2001•0 citations

Analisis Metode Lintasan Feynman

Mahendra Satria

It had been explained in analytical detail of interference on 1, 2, 3 and 4 slits which is based on Feynman Path Method within the Fraunhofer diffraction approachment. Those formulas are difficult to derive, thereafter, in simply design being applicated on classical action principle as a basic of deriving formula. It is used to compute probability distribution of electron through those slits as a result of interference model which is detected on a screen and represented on graph. KATA KUNCI: Fraunhofer diffraction, Feynman path method.

•Jan 1, 2015•0 citations

The diffraction state of single electron's Young's experiment described by path integrals

Jin Zhang

The quantum states of single electron through tow-slit or multi-slit and its probability distribution are calculated by using Feynmans path integrals.Based on our results, a clear physical description of this experiment is given to explain the diffraction state of single electron.

College Physics•Jan 1, 2005•0 citations

Diffraction of entangled photon pairs by ultrasonic waves

Lu-Bi Deng

In this paper, we have presented and established a new theoretical formulation of photon optics based on photon path and Feynman path integral idea. We have used Feynman path integral approach to discuss Fraunhofer, Fresnel diffraction of single photon and entangled photon pairs by ultrasonic wave and obtained the following results: i) quantum state and probability distribution of single photon and entangled photon pairs by Fraunhofer and Fresnel ultrasonic diffraction, ii) oblique incidence Raman-Nath and Bragg diffraction conditions, iii) total correlation state and its probability distribution. Our calculation results are in agreement with the experiment results. Comparing one-photon and two-photon diffraction effects by ultrasonic waves, we have found that two-photon diffraction by ultrasonic waves is also a sub-wavelength diffraction.

Frontiers of Physics•Jul 7, 2011•3 citations

A quantum-mathematical model to state single photon (electron) double slit experiment, Fraunhofer and Fresnel diffractions

Akbar Rahmani Nejad, M. A. Olia

This paper provides a complete physical model associated with mathematical analysis and formulation that is based on Schrödinger equation and Feynman path integral. This model answers to single Photon (electron) double slit experiment with high degree of accuracy. It also gives a new method of analysis and formulation for Fresnel and Fraunhofer diffractions that are completely according to the Schrödinger equation and Feynman path concept. The results of these methods are precisely in agreement with the near field and far field diffraction experiments. In other words the new formulation in all above mentioned phenomena i.e. single photon (electron) double slit experiment, Fresnel and Fraunhofer diffractions are completely confirmed by lab experiments(measurements). Lab experiments mean common intensity and pattern experiments resulting from Fresnel (near field) diffraction, Fraunhofer (far field) diffraction and patterns resulting in single photon (electron) lab experiment. The resultant formulas are sketched and calculated by matlab program, the resultant graphs and values are compared with lab experiments in each section. This analysis substitutes wave function and probability density function concepts instead of interference of light beams emitted from infinitesimal pinholes or classical interpretation of near field diffraction and far field diffraction phenomena. The ultimate goal of this paper is to give a very accurate answer to the single particle double slit experiment and also to unify diffraction concept of classical optics in to quantum mechanics, deleting the traditional concept of phases in classical optics and substituting the concept of deflection of Feynman paths. The above mentioned analysis may be a glad tiding to a reliable method to unify classical optics in to quantum mechanics.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Aug 20, 2009•0 citations
It had been explained in analytical detail of interference on 1, 2, 3 and 4 slits which is based on Feynman Path Method within the Fraunhofer diffraction approachment. Those formulas are difficult to derive, thereafter, in simply design being applicated on classical action principle as a basic of deriving formula. It is used to compute probability distribution of electron through those slits as a result of interference model which is detected on a screen and represented on graph. KATA KUNCI: Fraunhofer diffraction, Feynman path method.
In this paper, we have presented and established a new theoretical formulation of photon optics based on photon path and Feynman path integral idea. We have used Feynman path integral approach to discuss Fraunhofer, Fresnel diffraction of single photon and entangled photon pairs by ultrasonic wave and obtained the following results: i) quantum state and probability distribution of single photon and entangled photon pairs by Fraunhofer and Fresnel ultrasonic diffraction, ii) oblique incidence Raman-Nath and Bragg diffraction conditions, iii) total correlation state and its probability distribution. Our calculation results are in agreement with the experiment results. Comparing one-photon and two-photon diffraction effects by ultrasonic waves, we have found that two-photon diffraction by ultrasonic waves is also a sub-wavelength diffraction.
This paper provides a complete physical model associated with mathematical analysis and formulation that is based on Schrödinger equation and Feynman path integral. This model answers to single Photon (electron) double slit experiment with high degree of accuracy. It also gives a new method of analysis and formulation for Fresnel and Fraunhofer diffractions that are completely according to the Schrödinger equation and Feynman path concept. The results of these methods are precisely in agreement with the near field and far field diffraction experiments. In other words the new formulation in all above mentioned phenomena i.e. single photon (electron) double slit experiment, Fresnel and Fraunhofer diffractions are completely confirmed by lab experiments(measurements). Lab experiments mean common intensity and pattern experiments resulting from Fresnel (near field) diffraction, Fraunhofer (far field) diffraction and patterns resulting in single photon (electron) lab experiment. The resultant formulas are sketched and calculated by matlab program, the resultant graphs and values are compared with lab experiments in each section. This analysis substitutes wave function and probability density function concepts instead of interference of light beams emitted from infinitesimal pinholes or classical interpretation of near field diffraction and far field diffraction phenomena. The ultimate goal of this paper is to give a very accurate answer to the single particle double slit experiment and also to unify diffraction concept of classical optics in to quantum mechanics, deleting the traditional concept of phases in classical optics and substituting the concept of deflection of Feynman paths. The above mentioned analysis may be a glad tiding to a reliable method to unify classical optics in to quantum mechanics.