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Open Quantum Systems Decoherence

Quantum equations of motion and the geometrical imperative II: relativistic

arXiv

Authors: R N Henriksen

Year

2024

Paper ID

37732

Status

Preprint

Abstract Read

~2 min

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Abstract

We extract the square root of the Minkowski metric using Dirac/Clifford matrices. The resulting 4times 4 operator d{bf S} that represents the square root, can be used to transform four vectors between relatively moving observers. This effects the usual Lorentz transformation. In addition it acts on a Dirac bi-spinor. The operator is essentially a Hamiltonian that can be used to write an equation of motion for a relativistic spinor. This turns out to be the Dirac equation for electrons in standard form. We believe that is is a new approach to familiar results.

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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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We extract the square root of the Minkowski metric using Dirac/Clifford matrices.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.21305 [2] arXiv https://arxiv.org/abs/2410.21305 [3] Publisher https://arxiv.org/abs/2410.21305

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