Electronic states in a quantum Beltrami surface

TL;DR

This paper explores how the geometry of a quantum Beltrami surface affects the electronic states, focusing on the Schrödinger equation constrained by the surface's curvature and the influence of orbital angular momentum.

Contribution

It introduces a detailed analysis of electronic states on a Beltrami surface considering geometric effects and angular momentum, which is a novel application in quantum surface studies.

Findings

Geometry significantly influences electronic states.

Orbital angular momentum impacts energy levels.

Curvature effects modify quantum behavior on the surface.

Abstract

In this paper, we investigate the influence of the geometry in the electronic states of a quantum Beltrami surface. We have considered an electron governed by the spinless stationary Schr\"{o}dinger equation constrained to move on the Beltrami surface due to a confining potential from which the Da Costa potential emerges. We investigate the role played by the geometry and orbital angular momentum on the electronic states of the system.