Work

Spherically symmetric potential in noncommutative spacetime with a compactified extra dimensions

Year: 2016

Type: article

Abstract: The Schrödinger equation of the spherically symmetrical quantum models such as the hydrogen atom problem seems to be analytically non-solvable in higher dimensions. When we try compactifying one or several dimensions this question can maybe solved. This paper presents a study of the spherically symmetrical quantum models on noncommutative spacetime with compactified extra dimensions. We provide analytically the resulting spectrum of the hydrogen atom and Yukawa problem in $$4+1$$ dimensional noncommutative spacetime in the first order approximation of the noncommutative parameter. The case of higher dimensions $$D\ge 4$$ is also discussed.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-016-4359-3

Authors: Sêcloka Lazare Guedezounme, Antonin Danvidé Kanfon, Dine Ousmane Samary

Institutions: Université d'Abomey-Calavi, Max Planck Institute for Gravitational Physics

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Alexander von Humboldt-Stiftung

OpenAlex ID: W2471335663