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arXiv:2304.14995math.AP

Majorana transformation of the Thomas-Fermi equation demystified

Abdaljalel Alizzi, Zurab K. Silagadze

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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.

arXiv comments
8 pages, no figures, published version
Journal reference
Modern Physics Letters A 39, No. 07, 2450016 (2024)
DOI
doi:10.1142/S0217732324500160
Subjects
math.APAnalysis of PDEs hep-phHigh Energy Physics, Phenomenology physics.hist-phHistory and Philosophy of Physics

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  1. Majorana, the search for the most elusive neutrino of all (2012) 1 comment

    • Interesting, I read about neutrinos a while back https://arxiv.org/pdf/2304.14995 https://www.universetoday.com/13052/do-advanced-civilization... (I was reminded of this recently after watching the Three Body Problem - Tencent's version, interstellar quantum communication)

      initramfsView on HNParent context

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