托马斯-费米方程的马约拉纳变换解密

IF 1.5 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Modern Physics Letters A Pub Date : 2024-04-01 DOI:10.1142/s0217732324500160

Abdaljalel Alizzi, Zurab K. Silagadze

{"title":"托马斯-费米方程的马约拉纳变换解密","authors":"Abdaljalel Alizzi, Zurab K. Silagadze","doi":"10.1142/s0217732324500160","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":"300 1","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Majorana transformation of the Thomas–Fermi equation demystified\",\"authors\":\"Abdaljalel Alizzi, Zurab K. Silagadze\",\"doi\":\"10.1142/s0217732324500160\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>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.</p>\",\"PeriodicalId\":18752,\"journal\":{\"name\":\"Modern Physics Letters A\",\"volume\":\"300 1\",\"pages\":\"\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Modern Physics Letters A\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1142/s0217732324500160\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modern Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0217732324500160","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}

引用次数: 0

摘要

马约拉纳变换使托马斯-费米方程简化为一阶微分方程成为可能。托马斯-费米方程在同调变换下的特殊缩放特性使这种还原成为可能。这种还原在恒星天体物理学中是众所周知的，在恒星天体物理学中，使用同构不变变量早已被证明是有用的。我们在托马斯-费米方程中使用同构不变变量来揭示神秘的马约拉纳变换的起源。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Majorana transformation of the Thomas–Fermi equation demystified

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Modern Physics Letters A 物理-物理：核物理

CiteScore

3.10

自引率

7.10%

发文量

186

审稿时长

3 months

期刊介绍： This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.