14 citations · 112 across the 25 of their papers we have counts for
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Relativistic Ideal Clock
Łukasz Bratek
Two particularly simple ideal clocks exhibiting intrinsic circular motion with the speed of light and opposite spin alignment are described. The clocks are singled out by singulari…
Spinor particle. An indeterminacy in the motion of relativistic dynamical systems with separately fixed mass and spin
Łukasz Bratek
We give an argument that a broad class of geometric models of spinning relativistic particles with Casimir mass and spin being separately fixed parameters, have indeterminate world…
Can rapidity become a gauge variable? Dirac Hamiltonian method and Relativistic Rotators
Łukasz Bratek
The minimal Hamiltonian for a family of relativistic rotators is constructed by a direct application of the Dirac procedure for constrained systems. The Hamiltonian equations can b…
Fundamental Relativistic Rotator. Hessian singularity and the issue of the minimal interaction with electromagnetic field
Łukasz Bratek
There are two relativistic rotators with Casimir invariants of the Poincaré group being fixed parameters. The particular models of spinning particles were studied in the past both…
False constraints. A toy model for studying dynamical systems with degenerate Hessian form
Łukasz Bratek
This paper studies various aspects of the motion of relativistic rotators, both in the presence and absence of external fields, using a toy model which, in a sense, can be regarded…
Modified relativistic rotator. Toward classical Fundamental Dynamical Systems consisting of a worldline and a single spinor
Łukasz Bratek
The Author shows how to construct a class of Lagrangians for relativistic dynamical systems described by position and a single spinor. One arrives to it by imposing three requireme…
Breathing Relativistic Rotators and Fundamental Dynamical Systems
Łukasz Bratek
Recently, it was shown, that the mechanical model of a massive spinning particle proposed by Kuzenko, Lyakhovich and Segal in 1994, which is also the fundamental relativistic rotat…