德西特和反德西特空间中的双原子分子

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

International Journal of Theoretical Physics Pub Date : 2024-09-19 DOI:10.1007/s10773-024-05781-x

Meriem Abdelaziz, Mustafa Moumni, Mokhtar Falek

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引用次数: 0

摘要

利用扩展不确定性原理公式研究了德西特和反德西特空间中硅原子分子的薛定谔方程。对于克拉策势和伪谐振子，方程都是用尼基福罗夫-乌瓦洛夫方法求解的。系统的能量特征值是通过分析得出的，特征函数的精确表达是通过罗曼诺夫斯基多项式和雅可比多项式得出的。研究还探讨了空间变形参数对边界态的影响，并利用实验结果确定了该参数的上限。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Diatomic Molecules in deSitter and Anti-deSitter Spaces

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Diatomic Molecules in deSitter and Anti-deSitter Spaces

The Schrödinger equation for diatomic molecules in deSitter and anti-deSitter spaces is studied using the extended uncertainty principle formulation. The equations are solved by the Nikiforov-Uvarov method for both the Kratzer potential and the pseudoharmonic oscillator. The energy eigenvalues of the system have been derived analytically, and the exact expressions of the eigenfunctions are provided in terms of Romanovski and Jacobi polynomials. The impact of the spatial deformation parameter on the bound states is also examined, with experimental results used to establish an upper limit for this parameter.

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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.