A Quantum-Mathematical Model to state Single Electron (Photon) Double slit experiment, Fraunhofer and Fresnel Diffractions

摘要

This paper provides a complete physical model associated with mathematical analysis and formulation that is based on Schr(o)dinger equation and Feynman path integral. This model answers to single Photon and or 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 based on Schr(o)dinger equation and Feynmn path concepts. The results of these methods are precisely in agreement with 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 diffraction are completely confirmed by lab experiments. 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 experiments. 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 substitute wave function and probability density function instead of interference of light beams emitted from infinitesimal pinholes or classical interpretation of near field diffraction and far field diffraction phenomena.