77 citations · 145 across the 11 of their papers we have counts for
11 papers
Note on tensors, the Dirac field and symmetry
H. Arodź, Z. Świerczyński
We show that the rank decomposition of a real matrix , which is a tensor, leads to Majorana bispinors, where . The Majorana bispinors are determine…
Relativistic quantum mechanics of the Majorana particle: quaternions, paired plane waves, and orthogonal representations of the Poincaré group
H. Arodź, Z. Świerczyński
The standard momentum operator can not be accepted as observable in relativistic quantum mechanics of the Majorana particle. Instead, one can use axial momentum operato…
Strictly finite range forces from the signum-Gordon field: exact results in two spatial dimensions
H. Arodź, J. Karkowski, Z. Świerczyński
Exact formula for the force between two identical static point charges coupled to the nonlinear scalar field of two-dimensional signum-Gordon model is obtained. Pertinent solution…
Didactic derivation of the special theory of relativity from the Klein-Gordon equation
H. Arodź
We present a didactic derivation of the special theory of relativity in which Lorentz transformations are `discovered' as symmetry transformations of the Klein-Gordon equation. The…
Spinning Q-balls in the complex signum-Gordon model
H. Arodź, J. Karkowski, Z. Świerczyński
Rotational excitations of compact Q-balls in the complex signum-Gordon model in 2+1 dimensions are investigated. We find that almost all such spinning Q-balls have the form of a ri…
Compact Q-balls and Q-shells in a scalar electrodynamics
H. Arodź, J. Lis
We investigate spherically symmetric non topological solitons in electrodynamics with a scalar field self interaction U ~|ψ| taken from the complex signum-Gordon model. We find Q-b…