12 citations · 69 across the 18 of their papers we have counts for
19 papers
The Dirac equation as a linear tensor equation for one component
Andrey Akhmeteli
The Dirac equation is one of the most fundamental equations of modern physics. It is a spinor equation, but some tensor equivalents of the equation were proposed previously. Those…
Some Classical Models of Particles and Quantum Gauge Theories
Andrey Akhmeteli
The article contains a review and new results of some mathematical models relevant to the interpretation of quantum mechanics and emulating well-known quantum gauge theories, such…
Plasma-like Description for Elementary and Composite Quantum Particles
Andrey Akhmeteli
Schr{ö}dinger noticed in 1952 that a scalar complex wave function can be made real by a gauge transformation. The author showed recently that one real function is also enough to de…
Vacuum balloon -- a 350-year-old dream
Andrey Akhmeteli, Andrew V. Gavrilin
The centuries-old idea of a lighter-than-air vacuum balloon has not materialized yet as such structure needs to be both light enough to float in the air and strong enough to withst…
The Dirac equation in a Yang-Mills field as an equation for just one real function
Andrey Akhmeteli
Previously (A. Akhmeteli, J. Math. Phys., v. 52, p. 082303 (2011)), the Dirac equation in an arbitrary electromagnetic field was shown to be generally equivalent to a fourth-order…
Towards differential elimination of spinor field from spinor electrodynamics
Andrey Akhmeteli
A system of PDEs for the electromagnetic field and one real component of the spinor field is generally equivalent to spinor electrodynamics. There are reasons to believe that the c…