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Quantum Simulation
Pseudo-Hermitian Dirac operator on the torus for massless fermions under the action of external fields
arXiv
Authors: Ö. Yeşiltaş, J. Furtado
Year
2021
Paper ID
61339
Status
Preprint
Abstract Read
~2 min
Abstract Words
63
Citations
N/A
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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- The Dirac equation in (2+1) dimensions on the toroidal surface is studied for a massless fermion particle under the action of external fields.
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