动量表示中狄拉克方程的关系分析

IF 1.2 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Gravitation and Cosmology Pub Date : 2022-11-25 DOI:10.1134/S0202289322040119
Anton V. Solov’yov
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引用次数: 0

摘要

根据时空几何和物理相互作用的关系方法,我们证明了动量表示中的自由费米子的狄拉克方程可以从两个抽象集合的元素之间的复关系二元系统(BSCR)开始得到。通过推导,我们证明了四维伪欧几里得动量空间不是先验的,而是从相当一般的性质(2旋量代数)的考虑中自然产生的。构造了具有正能量和任意动量分布的费米子的双波函数。特别注意的是物理假设,应作出,使建设。
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Relational Analysis of Dirac Equation in Momentum Representation

In terms of the relational approach to space-time geometry and physical interactions, we show that the Dirac equation for a free fermion in the momentum representation can be obtained starting from a binary system of complex relations (BSCR) between elements of two abstract sets. With the derivation performed, we show that the 4-dimensional pseudo-Euclidean momentum space is not needed a priori but naturally emerges from considerations of rather general nature (2-spinor algebra). A bispinor wave function is constructed for a fermion with positive energy and an arbitrary distribution of momenta. Special attention is paid to physical assumptions that should be made to enable the construction.

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来源期刊
Gravitation and Cosmology
Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-
CiteScore
1.70
自引率
22.20%
发文量
31
审稿时长
>12 weeks
期刊介绍: Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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