Mechanical Analogue for Schrodinger's Matter-Wave Equation
Quantum Physics
2024-02-20 v3
Abstract
In this paper we first show that, there exists a precise mechanical analogue for the one-dimensional version of Schrodinger's original 4th-order, real-valued matter-wave equation. It is a composite, flexural-shear beam supported on distributed elastic springs. Nevertheless, in spite of this finding, this paper shows that it is not possible to construct a physically realizable mechanical analogue for Schrodinger's 2nd-order, complex valued matter-wave equation which yields lower eigenvalues; therefore, lower energy levels than these predicted with his original 4th-order, real-valued matter-wave equation.
Keywords
Cite
@article{arxiv.2312.05581,
title = {Mechanical Analogue for Schrodinger's Matter-Wave Equation},
author = {Nicos Makris},
journal= {arXiv preprint arXiv:2312.05581},
year = {2024}
}
Comments
We are working on a more general model