English

Electronic states in a quantum Beltrami surface

Quantum Physics 2023-08-15 v1 Mesoscale and Nanoscale Physics

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.

Cite

@article{arxiv.2308.07285,
  title  = {Electronic states in a quantum Beltrami surface},
  author = {J. Furtado},
  journal= {arXiv preprint arXiv:2308.07285},
  year   = {2023}
}

Comments

6 pages, 7 figures, two column. Matches version to appear in Physics Letters A

R2 v1 2026-06-28T11:55:21.596Z