{"title":"欧拉流体力学解狄拉克量子力学方程在球面几何中的多极振荡","authors":"Álvaro Viúdez","doi":"10.1016/j.euromechflu.2024.12.004","DOIUrl":null,"url":null,"abstract":"<div><div>The multipolar spherical vortex solutions to the Euler equations for Newtonian fluids in background cylindrical flow with swirl satisfy, once their three-dimensional Cartesian velocity components are mapped into the components of a four-component complex vector wave function, the relativistic Dirac equation for a free particle. It is suggested that the vertical component of the intrinsic spin angular momentum of the quantum mechanics particles is the azimuthal wavenumber of the angular phase of the oscillation modes in presence of the background rotation.</div></div>","PeriodicalId":11985,"journal":{"name":"European Journal of Mechanics B-fluids","volume":"111 ","pages":"Pages 81-86"},"PeriodicalIF":2.5000,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Euler fluid mechanics solutions to Dirac quantum mechanics equation using multipolar oscillations in spherical geometry\",\"authors\":\"Álvaro Viúdez\",\"doi\":\"10.1016/j.euromechflu.2024.12.004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The multipolar spherical vortex solutions to the Euler equations for Newtonian fluids in background cylindrical flow with swirl satisfy, once their three-dimensional Cartesian velocity components are mapped into the components of a four-component complex vector wave function, the relativistic Dirac equation for a free particle. It is suggested that the vertical component of the intrinsic spin angular momentum of the quantum mechanics particles is the azimuthal wavenumber of the angular phase of the oscillation modes in presence of the background rotation.</div></div>\",\"PeriodicalId\":11985,\"journal\":{\"name\":\"European Journal of Mechanics B-fluids\",\"volume\":\"111 \",\"pages\":\"Pages 81-86\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2025-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"European Journal of Mechanics B-fluids\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0997754624001869\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2024/12/27 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Mechanics B-fluids","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0997754624001869","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/12/27 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Euler fluid mechanics solutions to Dirac quantum mechanics equation using multipolar oscillations in spherical geometry
The multipolar spherical vortex solutions to the Euler equations for Newtonian fluids in background cylindrical flow with swirl satisfy, once their three-dimensional Cartesian velocity components are mapped into the components of a four-component complex vector wave function, the relativistic Dirac equation for a free particle. It is suggested that the vertical component of the intrinsic spin angular momentum of the quantum mechanics particles is the azimuthal wavenumber of the angular phase of the oscillation modes in presence of the background rotation.
期刊介绍：
The European Journal of Mechanics - B/Fluids publishes papers in all fields of fluid mechanics. Although investigations in well-established areas are within the scope of the journal, recent developments and innovative ideas are particularly welcome. Theoretical, computational and experimental papers are equally welcome. Mathematical methods, be they deterministic or stochastic, analytical or numerical, will be accepted provided they serve to clarify some identifiable problems in fluid mechanics, and provided the significance of results is explained. Similarly, experimental papers must add physical insight in to the understanding of fluid mechanics.
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