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arXiv · 2312.05581

Mechanical Analogue for Schrodinger's Matter-Wave Equation

Nicos Makris
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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.

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Nicos Makris. 2023-12-09. Mechanical Analogue for Schrodinger's Matter-Wave Equation. https://arxiv.org/abs/2312.05581

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