A Quantum Ring in a Nanosphere

TL;DR

This paper investigates the quantum behavior of electrons in a two-dimensional ring on a spherical surface, considering magnetic effects, and provides exact solutions for energy levels and wavefunctions, highlighting curvature influences.

Contribution

It presents exact solutions for the quantum dynamics of particles in a spherical quantum ring with magnetic flux, incorporating curvature effects on physical properties.

Findings

Exact eigenvalues and eigenfunctions derived

Magnetization and persistent current calculated

Curvature influences on quantum properties discussed

Abstract

In this paper we study the quantum dynamics of an electron/hole in a two-dimensional quantum ring within a spherical space. For this geometry, we consider a harmonic confining potential. Suggesting that the quantum ring is affected by the presence of an Aharonov-Bohm flux and an uniform magnetic field, we solve the Schr\"odinger equation for this problem and obtain exactly the eigenvalues of energy and corresponding eigenfunctions for this nanometric quantum system. Afterwards, we calculate the magnetization and persistent current are calculated, and discuss influence of curvature of space on these values.