Dimensionless equations in non-relativistic quantum mechanics

2020/05/11 by Francisco M. Fernández, Fernández, Francisco M. · 4 citations
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.2005.05377

arxiv created 2020/10/07 · arxiv updated 2020/10/08

Abstract

We discuss the numerous advantages of using dimensionless equations in non-relativistic quantum mechanics. Dimensionless equations are considerably simpler and reveal the number of relevant parameters in the models. They are less prone to round-off errors when applying numerical methods because all the quantities are of the other of unity. A dimensionless equation facilitates the application of perturbation theory and provides a glimpse of the sort of solution we are going to obtain beforehand.

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