{"title":"解决狄拉克方程的悖论:现象学","authors":"Serge F. Timashev","doi":"arxiv-2404.08009","DOIUrl":null,"url":null,"abstract":"Based on the results of F. Wilf on the need to take into account the\nquantum-mechanical correspondence rules in the Dirac equation for an electron,\nit was shown that the equation obtained by giving physical meaning to\n$\\alpha$-Dirac operators should be considered as a phenomenological equation\nfor a particle of non-zero size - the EM polaron, previously introduced by the\nauthor. This allows a solution to be found to the inherent paradox of the Dirac\nequation, which consists of the equality of the velocity of the moving\nparticles to the speed of light $c$ in a vacuum, which is a priori\nunobtainable, and to understand the physical essence of spin as the intrinsic\nmechanical moment of an EM polaron. It is also shown that the Dirac-Wilf\nequation for a single spatial dimension can be considered a generalization of\nthe Schrodinger equation for relativistic energies.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"91 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Resolving the paradox of the Dirac equation: phenomenology\",\"authors\":\"Serge F. Timashev\",\"doi\":\"arxiv-2404.08009\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Based on the results of F. Wilf on the need to take into account the\\nquantum-mechanical correspondence rules in the Dirac equation for an electron,\\nit was shown that the equation obtained by giving physical meaning to\\n$\\\\alpha$-Dirac operators should be considered as a phenomenological equation\\nfor a particle of non-zero size - the EM polaron, previously introduced by the\\nauthor. This allows a solution to be found to the inherent paradox of the Dirac\\nequation, which consists of the equality of the velocity of the moving\\nparticles to the speed of light $c$ in a vacuum, which is a priori\\nunobtainable, and to understand the physical essence of spin as the intrinsic\\nmechanical moment of an EM polaron. It is also shown that the Dirac-Wilf\\nequation for a single spatial dimension can be considered a generalization of\\nthe Schrodinger equation for relativistic energies.\",\"PeriodicalId\":501190,\"journal\":{\"name\":\"arXiv - PHYS - General Physics\",\"volume\":\"91 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - General Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2404.08009\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - General Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2404.08009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
根据 F. Wilf 关于在电子的狄拉克方程中需要考虑量子-机械对应规则的研究成果,研究表明,通过赋予$\α$-狄拉克算子以物理意义而得到的方程,应被视为一个非零尺寸粒子--电磁极子--的现象学方程,这是由作者先前提出的。这样就可以解决狄拉克方程的内在悖论,即运动粒子的速度与真空中光速 $c$ 相等,而这是可以先验得到的;还可以把自旋的物理本质理解为电磁极子的内在机械力矩。研究还表明,单空间维度的狄拉克-威尔方程可视为相对论能量下薛定谔方程的广义化。
Resolving the paradox of the Dirac equation: phenomenology
Based on the results of F. Wilf on the need to take into account the
quantum-mechanical correspondence rules in the Dirac equation for an electron,
it was shown that the equation obtained by giving physical meaning to
$\alpha$-Dirac operators should be considered as a phenomenological equation
for a particle of non-zero size - the EM polaron, previously introduced by the
author. This allows a solution to be found to the inherent paradox of the Dirac
equation, which consists of the equality of the velocity of the moving
particles to the speed of light $c$ in a vacuum, which is a priori
unobtainable, and to understand the physical essence of spin as the intrinsic
mechanical moment of an EM polaron. It is also shown that the Dirac-Wilf
equation for a single spatial dimension can be considered a generalization of
the Schrodinger equation for relativistic energies.