English

Dimensionless equations in non-relativistic quantum mechanics

Quantum Physics 2020-10-08 v2

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.

Keywords

Cite

@article{arxiv.2005.05377,
  title  = {Dimensionless equations in non-relativistic quantum mechanics},
  author = {Francisco M. Fernández},
  journal= {arXiv preprint arXiv:2005.05377},
  year   = {2020}
}
R2 v1 2026-06-23T15:28:12.760Z