77 citations · 163 across the 9 of their papers we have counts for
4 papers · 1 filter
Maxwell's and Stokes' operators associated with elliptic differential complexes
Alexander Shlapunov, Alexander Polkovnikov, Victor Mironov
We propose a new technique to generate reasonable systems of partial differential equations (PDE) that could be potential candidates for depicting models in natural sciences relate…
Noncommutative sedeons and their application in field theory
Victor L. Mironov, Sergey V. Mironov
We present sixteen-component values "sedeons", generating associative noncommutative space-time algebra. The generalized second-order and first-order equations of relativistic quan…
Octonic relativistic quantum mechanics
V. L. Mironov, S. V. Mironov
In this paper we represent the generalization of relativistic quantum mechanics on the base of eght-component values "octons", generating associative noncommutative spatial algebra…
Octonic Electrodynamics
Victor L. Mironov, Sergey V. Mironov
In this paper we present eight-component values "octons", generating associative noncommutative algebra. It is shown that the electromagnetic field in a vacuum can be described by…