Majorana transformation of the Thomas-Fermi equation demystified
Analysis of PDEs
2024-04-09 v2 High Energy Physics - Phenomenology
History and Philosophy of Physics
Abstract
The Majorana transformation makes it possible to reduce the Thomas-Fermi equation to a first-order differential equation. This reduction is possible due to the special scaling property of the Thomas-Fermi equation under homology transformations. Such reductions are well known in the context of stellar astrophysics, where the use of homology-invariant variables has long proved useful. We use homology-invariant variables in the context of the Thomas-Fermi equation to demystify the origin of the otherwise mysterious Majorana transformation.
Keywords
Cite
@article{arxiv.2304.14995,
title = {Majorana transformation of the Thomas-Fermi equation demystified},
author = {Abdaljalel Alizzi and Zurab K. Silagadze},
journal= {arXiv preprint arXiv:2304.14995},
year = {2024}
}
Comments
8 pages, no figures, published version