Harmonic Oscillator in Cosmic String Space-Time with Dislocation Under a Repulsive $1/r^2$ Potential and Rotational Frame Effects

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Few-Body Systems Pub Date : 2024-01-19 DOI:10.1007/s00601-023-01874-1

Faizuddin Ahmed

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Abstract

In this paper, we investigate the behavior of a quantum harmonic oscillator in the presence of a repulsive inverse-square potential within a cosmic string space-time that contains a dislocation. Our objective is to find eigenvalue solutions of this quantum system by analytically solving the Schrödinger wave equation through the confluent hypergeometric function. Furthermore, we explore the effects of a rotational frame on the quantum harmonic oscillator within this specific space-time geometry, incorporating the same repulsive potential. Following a similar procedure, we successfully determine the eigenvalue solutions for this quantum system. Importantly, our results reveal that the eigenvalue solutions are significantly influenced by four key parameters: the cosmic string, the dislocation parameter associated with the geometry, the repulsive inverse-square potential, and the constant angular speed of the rotating frame. The presence of these parameters induces a shift in the energy spectrum, thereby causing modifications to the behavior of the quantum harmonic oscillator compared to the known results.

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具有位错的宇宙弦时空中的谐波振荡器在 1/r^2$ 美元斥势和旋转框架效应下的情况

在本文中，我们研究了一个量子谐振子在包含位错的宇宙弦时空中存在斥性反平方势时的行为。我们的目标是通过汇合超几何函数分析求解薛定谔波方程，找到这个量子系统的特征值解。此外，我们还探索了在这一特定时空几何中，旋转框架对量子谐振子的影响，并结合了相同的斥力势。按照类似的程序，我们成功地确定了这个量子系统的特征值解。重要的是，我们的结果表明，特征值解受到四个关键参数的显著影响：宇宙弦、与几何相关的位错参数、斥力反平方势和旋转框架的恒定角速度。这些参数的存在导致了能谱的偏移，从而使量子谐振子的行为与已知结果相比发生了变化。

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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).

Harmonic Oscillator in Cosmic String Space-Time with Dislocation Under a Repulsive \(1/r^2\) Potential and Rotational Frame Effects

Abstract