Hi, I am Andrey Akhmeteli (akhmeteli(at)aim.com). This site contains some of my publications and links to them.
On the possibility of differential algebraic elimination of the spinor field from the Maxwell-Dirac electrodynamics
A new preprint:
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.
A constructive approach to simulating quantum phenomena by plasma-like collections
A new preprint:
Previously, the author offered a plasma-like description of quantum phenomena. This article offers a new criterion of approximation of probability density functions of quantum theories by sums of δ-functions with integer coefficients and a constructive approach to building such sets of δ-functions.
The Dirac equation as a linear tensor equation for one component
The article was published at Eur. Phys. J. C (2024) 84:488 .
The Dirac equation as a linear tensor equation for one component
Some Classical Models of Particles and Quantum Gauge Theories
My article was published in Quantum Reports.
Plasma-like Description for Elementary and Composite Quantum Particles
My article was published in Entropy.
“Vacuum Balloon–A 350-Year-Old Dream” (an article)
A presentation at a conference
Quantum Information and Probability: from Foundations to Engineering (QIP), 25-27 August 2021, presentation “A tentative plasma-like interpretation of elementary and composite particles in quantum theory”