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Quantum Algorithms

Dirac particles on periodic quantum graphs

arXiv
Authors: J. R. Yusupov, K. K. Sabirov, D. U. Matrasulov

Year

2020

Paper ID

6942

Status

Preprint

Abstract Read

~2 min

Abstract Words

65

Citations

N/A

Abstract

We consider the Dirac equation on periodic networks (quantum graphs). The self-adjoint quasi periodic boundary conditions are derived. The secular equation allowing us to find the energy spectrum of the Dirac particles on periodic quantum graphs is obtained. Band spectra of the periodic quantum graphs of different topologies are calculated. Universality of the probability to be in the spectrum for certain graph topologies is observed.

Why This Paper Matters

  • It adds a 2020 reference point for readers tracking recent quantum research.
  • We consider the Dirac equation on periodic networks (quantum graphs).

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2011.02278 [2] arXiv https://arxiv.org/abs/2011.02278 [3] Publisher https://arxiv.org/abs/2011.02278

Local Citation Graph (Related-Paper Links)

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