Fermionic Dynamics in a (2+1)-Dimensional Rainbow Universe

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Few-Body Systems Pub Date : 2024-03-15 DOI:10.1007/s00601-024-01896-3

E. E. Kangal, O. Aydogdu, M. Salti

引用次数: 0

Abstract

According to the rainbow formalism of general relativity, as a particle engages with space-time through its movement, it alters the fabric of space-time, and this manifests itself in rainbow functions. Therefore, the dynamics of the particle necessitate a redefinition within the newly textured space-time. In this context, an exact solution to the Dirac equation has been investigated to determine the dynamics of Dirac particles within the (2+1)-dimensional rotating symmetric rainbow universe in the present study. So, the equation representing the energy eigenvalues of Dirac particles and the corresponding eigenfunctions in terms of the associated Laguerre polynomials have been derived. Notably, it has been observed that the energies and corresponding eigenfunctions of spin-1/2 fermions change dramatically due to rainbow functions. The energy eigenvalue equation has been reformulated within the general relativity limit of the rainbow formalism, and the energy eigenvalue equation representing massless Dirac particles has been obtained in this limit.

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2+1 维彩虹宇宙中的费米子动力学

根据广义相对论的彩虹形式主义，当粒子通过运动与时空接触时，它会改变时空的结构，这表现为彩虹函数。因此，粒子的动力学需要在新的时空结构中重新定义。在此背景下，本研究研究了狄拉克方程的精确解，以确定狄拉克粒子在（2+1）维旋转对称彩虹宇宙中的动力学。因此，推导出了代表狄拉克粒子能量特征值的方程以及相关拉盖尔多项式的相应特征函数。值得注意的是，我们观察到自旋-1/2 费米子的能量和相应的特征函数因彩虹函数而发生了巨大变化。在彩虹形式主义的广义相对论极限内重新制定了能量特征值方程，并在此极限内得到了代表无质量狄拉克粒子的能量特征值方程。

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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来源期刊

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).