NONLOCAL ADVECTION DIFFUSION EQUATIONS AND THE TWO-SLIT EXPERIMENT IN QUANTUM MECHANICS

被引：0

作者：

Webb, Glenn ^{[1
]}

机构：

[1] Vanderbilt Univ, Dept Math, Nashville, TN 37212 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年

关键词：

Nonlocal; advection; diffusion; Schrodinger equation; two-slit experiment; ensemble interpretation; QUASI-ANALYTICITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze a partial differential equation that models the twoslit experiment of quantum mechanics. The state variable of the equation is the probability density function of particle positions. The equation has a diffusion term corresponding to the random movement of particles, and a nonlocal advection term corresponding to the movement of particles in the transverse direction perpendicular to their forward movement. The model is compared to the Schrodinger equation model of the experiment. The model supports the ensemble interpretation of quantum mechanics.

引用

页码：255 / 267

页数：13

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