arXiv subjects

A. Okninski

Publications and source records attributed to A. Okninski.

2 recordsLinked to original sources

arXiv2009

Group Actions as Stroboscopic Maps of Ordinary Differential Equations

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 studied. Invertible group actions are considered as possible candidates for stroboscopic maps of ordinary differential equations. It is shown that flow of the Bloch equation is a unique suspension of an invertible map on the SU(2) group.

math-ph↗

arXiv2007

Subsolutions of the Dirac equation and WIMP dark matter

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 Dirac equation for a massive non-interacting particle admits another decomposition into two separate equations. It is suggested that such particles can be identified with weakly interacting massive particles, other than neutrinos and of non-exotic nature, which can be candidates for dark matter.

math-ph↗