Majorana transformation of the Thomas-Fermi equation demystified

被引：0
|
作者：
Alizzi, Abdaljalel [1 ]
Silagadze, Zurab K. [2 ,3 ]
机构：
[1] Novosibirsk State Univ, Dept Phys, Novosibirsk 630090, Russia
[2] Budker Inst Nucl Phys, Novosibirsk 630090, Russia
[3] Novosibirsk State Univ, Novosibirsk, Russia
来源：
MODERN PHYSICS LETTERS A | 2024年 / 39卷 / 07期
关键词：
Thomas-Fermi equation; Lane-Emden equation; Emden-Fowler equation; Majorana transformation; homology-invariant variables; EMDEN;
D O I：
10.1142/S0217732324500160
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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.
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页数：8
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