Deformation of Nanowires and Nanotubes

TL;DR

This paper explores how deformations in the Heisenberg algebra affect the quantum behavior and energy states of nanowires and nanotubes by analyzing a deformed Schrödinger equation with cylindrical topology.

Contribution

It introduces a novel approach by applying next-to-leading order corrections to the effective field theory of nanostructures through deformed algebra analysis.

Findings

Deformation alters the energy spectrum of nanowires and nanotubes.

Solutions to the deformed Schrödinger equation reveal boundary condition effects.

The study provides insights into quantum behavior modifications due to algebraic deformation.

Abstract

In this article, we have investigated the consequences of the next to the leading order correction to the effective field theory of nanostructures. This has been done by analyzing the effects of deformed Heisenberg algebra on nanowires and nanotubes. We first deform the Schrodinger equation with cylindrical topology. Then specific solutions to the deformed Schrodinger equation with different boundary conditions are studied. These deformed solutions are used to investigate the consequences of the deformation on the energy of nanowires and nanotubes.