Pseudo-Hermitian Dirac operator on the torus for massless fermions under the action of external fields
arXiv:2109.11110 · doi:10.1142/S0217751X22500737
Abstract
The Dirac equation in 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.
arXiv comment11 pages, 1 figure. Matches version to appear in IJMPA
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