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The Schr?dinger Equation, Path Integration and Applications

机译：薛定吗?应用程序

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摘要

The Schr?dinger equation is fundamental in quantum mechanics as it makes it possible to determine the wave function from energies and to use this function in the mean calculation of variables, for example, as the most likely position of a group of one or more massive particles. In this paper, we present a survey on some theories involving the Schr?dinger equation and the Feynman path integral. We also consider a Feynman-Kac-type formula, as introduced by Patrick Muldowney, with the Henstock integral in the description of the expectation of random walks of a particle. It is well known that the non-absolute integral defined by R. Henstock "fixes" the defects of the Feynman integral. Possible applications where the potential in the Schr?dinger equation can be highly oscillating, discontinuous or delayed are mentioned in the end of the paper.
机译：薛定吗?力学就可以确定从能量和波函数的使用函数均值的计算变量,例如,最可能的位置的一个或多个巨大的粒子。篇文章中,我们提出一个关于一些理论的调查涉及薛定吗?费曼路径积分。Feynman-Kac-type公式,引入了帕特里克•Muldowney Henstock积分随机的期望的描述走的粒子。网格工作流定义为r . Henstock积分“修复”的缺陷,费曼积分。可能的应用潜力施罗德文中提到了不连续或延迟的纸。

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