狄拉克方程的输运理论路径

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED

Journal of Computational and Theoretical Transport Pub Date : 2022-04-16 DOI:10.1080/23324309.2022.2063901

G. Coppa

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引用次数: 0

摘要

摘要从线性输运方程的一阶球谐近似（通常称为P1近似）与量子物理学的克莱因-戈登方程的相似性出发，引入了一组扩展方程，证明其等价于具有虚质量的狄拉克方程，当实质量恢复到扩展的P1系统中时，得到了一个新的方程，其解是自旋粒子和相应反粒子的旋量的叠加。

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A Transport Theory Route to the Dirac Equation

Abstract Starting from the similarity between the spherical harmonics approximation of order one to the linear transport equation (usually referred as P 1 approximation) and the Klein-Gordon equation of the quantum physics, an extended set of equations is introduced, which is proved to be equivalent to the Dirac equation with imaginary mass. Conversely, when a real mass is restored into the extended P 1 system, a new equation is obtained, whose solutions are superposition of the spinors for a spin particle and the corresponding antiparticle.

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来源期刊

Journal of Computational and Theoretical Transport Mathematics-Mathematical Physics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Emphasizing computational methods and theoretical studies, this unique journal invites articles on neutral-particle transport, kinetic theory, radiative transfer, charged-particle transport, and macroscopic transport phenomena. In addition, the journal encourages articles on uncertainty quantification related to these fields. Offering a range of information and research methodologies unavailable elsewhere, Journal of Computational and Theoretical Transport brings together closely related mathematical concepts and techniques to encourage a productive, interdisciplinary exchange of ideas.