Quantum Effects on Klein–Gordon Oscillator under a Cornell-type Potential in Kaluza–Klein Theory

IF 1.2 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Gravitation and Cosmology Pub Date : 2021-09-14 DOI:10.1134/S0202289321030026

Faizuddin Ahmed

引用次数: 0

Abstract

We solve the Klein–Gordon oscillator equation in the five-dimensional cosmic string space-time background with a uniform magnetic field and quantum flux in the presence of a non-electromagnetic (or scalar) potential in the Kaluza–Klein theory, and observe a gravitational analogue of the Aharonov–Bohm qeffect. We see that the energy eigenvalues and the eigenfunction depends on the global parameters characterizing the space-time. Also, a quantum effect is observed due to the dependence of the magnetic field on the quantum numbers of the system.

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Kaluza-Klein理论中cornell势下Klein-Gordon振子的量子效应

在Kaluza-Klein理论中，我们在具有均匀磁场和量子通量的五维宇宙弦时空背景下，在非电磁(或标量)势存在的情况下，求解了Klein-Gordon振荡方程，并观察了Aharonov-Bohm qeffect的引力模拟。我们看到能量特征值和特征函数取决于表征时空的全局参数。此外，由于磁场对系统量子数的依赖，还观察到量子效应。

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

Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-

CiteScore

1.70

自引率

22.20%

发文量

审稿时长

>12 weeks

期刊介绍： Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoplesâ€™ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community