Two dimensional electron gas in a non-Euclidean space
Mesoscale and Nanoscale Physics
2021-02-24 v1 Quantum Physics
Abstract
A charged particle in the presence of a magnetic field is studied in the position dependent operator formalism. Instead of a quantum harmonic oscillator, the solution of the resulting Schr\"odinger-like equation is the one for the Morse oscillator. The anharmonicity that shows up naturally from the theory is analogous to the corrections introduced by relativistic ones.The degeneracy of the spin up and down levels is lifted due to the non-Euclidean space. It is shown that the Fermi energy and the total ground state energy of the 2DEG is also modified.
Cite
@article{arxiv.2007.03111,
title = {Two dimensional electron gas in a non-Euclidean space},
author = {R. N. Costa Filho and S. F. S. Oliveira and V. Aguiar},
journal= {arXiv preprint arXiv:2007.03111},
year = {2021}
}
Comments
4 pages, 4 figures