A Fundamental Form of the Schrodinger Equation
Quantum Physics
2015-08-17 v2 High Energy Physics - Theory
Abstract
We propose a first order equation from which the Schrodinger equation can be derived. Matrices that obey certain properties are introduced for this purpose. We start by constructing the solutions of this equation in 1D and solve the problem of electron scattering from a step potential. We show that the sum of the spin up and down, reflection and transmission coefficients, is equal to the quantum mechanical results for this problem. Furthermore, we present a 3D version of the equation which can be used to derive the Schrodinger equation in 3D.
Keywords
Cite
@article{arxiv.1502.04274,
title = {A Fundamental Form of the Schrodinger Equation},
author = {Muhammad Adeel Ajaib},
journal= {arXiv preprint arXiv:1502.04274},
year = {2015}
}
Comments
13 pages, 4 Figures, version to be published in FOOP