Related papers: Pseudo-Hermitian Dirac operator on the torus for massless fermions under the action of external fields

Pseudo-Hermitian Dirac operator on the torus for massless fermions under the action of external fields

URL: http://arxiv.org/abs/2109.11110v2
Date: Sat, 2 Apr 2022 17:05:14 GMT
Title: Pseudo-Hermitian Dirac operator on the torus for massless fermions under the action of external fields
Authors: \"O. Ye\c{s}ilta\c{s} and J. Furtado
Abstract summary: The Dirac equation in $(2+1)$ dimensions on the toroidal surface is studied for a massless fermion particle under the action of external fields. The Dirac operator stemming from a metric related to the strain tensor is discussed within the Pseudo-Hermitian operator theory.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: The Dirac equation in $(2+1)$ dimensions on the toroidal surface is studied for a massless fermion particle under the action of external fields. Using the covariant approach based on general relativity, the Dirac operator stemming from a metric related to the strain tensor is discussed within the Pseudo-Hermitian operator theory. Furthermore, analytical solutions are obtained for two cases, namely, constant and position-dependent Fermi velocity.

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