6 citations · 13 across the 8 of their papers we have counts for
11 papers
From the spin-0 Duffin-Kemmer-Petiau to the Dirac equation
Andrzej Okninski
In the present work a transition from the spin- Duffin-Kemmer-Petiau equation to the Dirac equation is described. This transformation occurs when a crossed field changes into a…
From Duffin-Kemmer-Petiau to Tzou algebras in relativistic wave equations
Andrzej Okninski
We study relation between the Duffin-Kemmer-Petiau algebras and some representations of Tzou algebras. Working in the setting of relativistic wave equations we reduce, via a simila…
Non-standard solutions of relativistic wave equations and decays of elementary particles
Andrzej Okninski
We carry out a constructive review of non-standard solutions of relativistic wave equations. Such solutions are obtained via splitting of relativistic wave equations written in spi…
Generalized solutions of the Dirac equation, W bosons, and beta decay
Andrzej Okninski
We study the 7x7 Hagen-Hurley equations describing spin 1 particles. We split these equations, in the interacting case, into two Dirac equations with non-standard solutions. It is…
Neutrino-assisted fermion-boson transitions
Andrzej Okninski
We study fermion-boson transitions. Our approach is based on the subequations of Dirac and Duffin-Kemmer-Petiau equations, which link these equations. We demonstrate th…
Exact nonlinear fourth-order equation for two coupled nonlinear oscillators: metamorphoses of resonance curves
Jan Kyziol, Andrzej Okninski
We study dynamics of two coupled periodically driven oscillators. The internal motion is separated off exactly to yield a nonlinear fourth-order equation describing inner dynamics.…