最小长度不确定性关系内的矢量平面 DKP 振荡器

IF 1.7 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Amenallah Andolsi, Yassine Chargui, Adel Trabelsi
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引用次数: 0

摘要

在这项工作中,我们研究了自旋一粒子在最小长度假设下的二维达芬-凯末尔-佩蒂奥振荡器的解。为了纳入最小长度,我们假定了一个广义不确定性原理,其两个变形参数意味着一个非交换相空间。通过使用动量表示,我们能够精确地解决所有自旋投影数的问题,并获得对振荡器的能量特征值和相关特征状态带来的最小长度修正。根据自旋投影数,这些解被系统地分为自然奇偶状态和非自然奇偶状态。此外,我们还研究了施加外部横向均匀磁场(HMF)对系统动力学的影响。特别是,我们将自旋一玻色子在 HMF 作用下的平面运动作为一个特例进行了研究。我们还讨论了每种情况下能量特征值的非相对论极限。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

The Vector Planar DKP Oscillator Within a Minimal Length Uncertainty Relation

The Vector Planar DKP Oscillator Within a Minimal Length Uncertainty Relation

In this work, we investigate the solutions of the two-dimensional Duffin–Kemmer–Petiau oscillator for spin-one particles under a minimal length assumption. To incorporate the minimal length, we assume a generalized uncertainty principle with two deformation parameters implying a noncommutative phase space. By employing the momentum representation, we were able to solve the problem exactly for all spin projection numbers and obtain the minimal length corrections brought to the energy eigenvalues and the associated eigenstates of the oscillator. The solutions are systematically classified into natural and unnatural parity states contingent upon the spin-projection numbers. Additionally, we studied the effect of applying an external transverse homogeneous magnetic field (HMF) on the dynamics of the system. In particular, the motion of a spin-one boson moving in the plane under a HMF is considered as a special case. We also discuss the nonrelativistic limit of the energy eigenvalues in each one of the considered instances.

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来源期刊
Few-Body Systems
Few-Body Systems 物理-物理:综合
CiteScore
2.90
自引率
18.80%
发文量
64
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).
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