Modified Attractive Inverse-Square Potential in the Induced Electric Dipole System

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Few-Body Systems Pub Date : 2024-01-12 DOI:10.1007/s00601-023-01873-2

K. Bakke, J. G. G. S. Ramos

引用次数: 0

Abstract

We examine the spatial distribution of electric charges within an extended, non-conductive cylinder featuring an inner radius denoted as \(r_{0}\). Our investigation unveils the emergence of a distinct modified attractive-inverse square potential, arising from the intricate interplay between the electric field and the induced electric dipole moment of a neutral particle. This modified potential notably departs from the conventional inverse-square potential, showcasing an additional term proportional to \(r^{-1}\). As a result, we present compelling evidence for the realization of a discrete energy spectrum within this intricate system.

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诱导电偶极子系统中的修正吸引力反平方电势

我们研究了一个内半径为 \(r_{0}\)的扩展非导电圆柱体内电荷的空间分布。我们的研究揭示了一种独特的修正吸引力反平方势，它产生于电场与中性粒子的诱导电偶极矩之间错综复杂的相互作用。这种修正的势明显偏离了传统的反平方势，展示了一个与 \(r^{-1}\) 成比例的附加项。因此，我们提出了令人信服的证据，证明在这个错综复杂的系统中实现了离散能谱。

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).