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Open Quantum Systems Decoherence
On the possibility of differential algebraic elimination of the spinor field from the Maxwell-Dirac electrodynamics
arXiv
Authors: Andrey Akhmeteli
Year
2026
Paper ID
5808
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
Abstract
We investigate whether the spinor field can be eliminated from the Maxwell-Dirac equations by differential algebraic methods. A generic truncated power series solution is constructed, the prolonged system of the Maxwell-Dirac electrodynamics is linearized about the solution, and the ranks of the associated coefficient matrices are computed. The results indicate that, generically, the spinor components are uniquely determined by the electromagnetic field and its derivatives. This strongly suggests that differential-algebraic elimination of the spinor field is possible.
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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 investigate whether the spinor field can be eliminated from the Maxwell-Dirac equations by differential algebraic methods.
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