21 citations · 127 across the 20 of their papers we have counts for
6 papers · 1 filter
Splitting the Dirac equation: the case of longitudinal potentials
Andrzej Okninski
Recently, we have demonstrated that some subsolutions of the free Duffin-Kemmer-Petiau and the Dirac equations obey the same Dirac equation with some built-in projection operators.…
Supersymmetric content of the Dirac and Duffin-Kemmer-Petiau equations
Andrzej Okninski
We study subsolutions of the Dirac and Duffin-Kemmer-Petiau equations described in our earlier papers. It is shown that subsolutions of the Duffin-Kemmer-Petiau equations and those…
SU(1,1) group action and the corresponding Bloch equation
Andrzej Okninski
Discrete time dynamics on the SU(1,1) group is studied. It is shown that a map acting in the dual space is the stroboscopic map for a SU(1,1) Bloch equation. Exact solution of the…
Group Actions as Stroboscopic Maps of Ordinary Differential Equations
A. Okninski
Discrete-time dynamical systems can be derived from group actions. In the present work possibility of application of this method to systems of ordinary differential equations is st…
Subsolutions of the Dirac equation and WIMP dark matter
A. Okninski
In the present paper we study subsolutions of the Dirac equation. The known examples of such subsolutions are the Weyl neutrino and the Majorana neutrino. It is shown that the Dira…
Splitting the Kemmer-Duffin-Petiau Equations
Andrzej Okninski
We study internal structure of the Kemmer-Duffin-Petiau equations for spin-0 and spin-1 mesons. We demonstrate, that the Kemmer-Duffin-Petiau equations can be splitted into constit…