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Open Quantum Systems Decoherence Quantum Simulation

Dirac solutions for quaternionic potentials

arXiv

Authors: Stefano De Leo, Sergio Giardino

Year

2013

Paper ID

31734

Status

Preprint

Abstract Read

~2 min

Abstract Words

Citations

N/A

Abstract

In this paper, the quaternionic Dirac equation is solved for quaternionic potentials, iV0+jW0. The study shows two different solutions. The first solution contains particles and anti-particles and leads to the diffusion, tunneling and Klein energy zones. The complex limit is recovered from this solution. The second solution, which does not have a complex counterpart, can be seen as a V0-antiparticle or |W0|-particle.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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In this paper, the quaternionic Dirac equation is solved for quaternionic potentials, iV0+jW0.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1311.6673 [2] arXiv https://arxiv.org/abs/1311.6673 [3] Publisher https://arxiv.org/abs/1311.6673

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