Relativistic Quantum Effects on Scalar Bosons in Morris–Thorne-Type Wormhole Space-Time with a Cosmic String

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Few-Body Systems Pub Date : 2023-10-03 DOI:10.1007/s00601-023-01860-7

Faizuddin Ahmed

引用次数: 0

Abstract

In this study, the relativistic quantum motion of spin-0 scalar bosons within the framework of Morris–Thorne-type wormhole space-time accompanied by a cosmic string is studied. We tackle the problem by solving the relativistic Klein–Gordon equation using the confluent Heun equation. We determine the ground state energy level, denoted as \(E_{1,m}\), as well as the corresponding wave function, denoted as \(\psi _{1,m}\). Interestingly, the investigation reveals that both the cosmic string parameter and the wormhole throat radius have an impact on the relativistic eigenvalue solution, thereby modifying the energy spectrum. Furthermore, the presence of the quantum flux field induces a shift in the energy levels, leading to the gravitational analogue of the Aharonov–Bohm effect.

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宇宙弦Morris–Thorne型虫洞时空中标量玻色子的相对论量子效应

在这项研究中，研究了在宇宙弦伴随的Morris–Thorne型虫洞时空框架内自旋为0的标量玻色子的相对论量子运动。我们通过使用合流Heun方程求解相对论性Klein-Gordon方程来解决这个问题。我们确定了基态能级，表示为\（E_｛1，m｝\），以及相应的波函数，表示为\（\psi_{1，m}\）。有趣的是，研究表明，宇宙弦参数和虫洞喉道半径都对相对论本征值解有影响，从而修改了能谱。此外，量子通量场的存在导致能级的移动，导致Aharonov–Bohm效应的引力模拟。

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).