双狭义相对论马圭约-斯莫林模型背景下达芬-凯莫-佩蒂奥方程的非相对论极限

IF 2.3 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY International Journal of Theoretical Physics Pub Date : 2024-08-08 DOI:10.1007/s10773-024-05728-2

Ilyas Haouam

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引用次数: 0

摘要

在这篇文章中，我们在马奎约-斯莫林（MS）模型的背景下，通过使用福尔迪-伍瑟森变换，研究了在双重狭义相对论中零自旋和单自旋粒子的达芬-凯默-佩蒂奥（DKP）方程的非相对论极限（NRL）。我们的分析得出了变形的薛定谔方程和薛定谔-保利方程，使我们能够评估 MS 模型对 DKP 方程的 NRL 的影响。此外，我们还考察了 Foldy-Wouthuysen 变换在推导存在 MS 模型的 NRL 时的功效和行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Non-Relativistic Limit of Duffin-Kemmer-Petiau Equation in the Context of Magueijo-Smolin Model of the Doubly Special Relativity

In this article, in the context of the Magueijo–Smolin (MS) model and by using the Foldy-Wouthuysen transformation, we investigate the non-relativistic limit (NRL) of the Duffin–Kemmer–Petiau (DKP) equation for both zero and unity spin particles within the doubly special relativity. Our analysis yields deformed Schrödinger and Schrödinger–Pauli equations, allowing us to assess the influence of the MS model on the NRL of the DKP equation. Additionally, we examine the efficacy and behavior of the Foldy–Wouthuysen transformation in deriving the NRL in the presence of MS model.

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来源期刊

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.