35 citations · 60 across the 7 of their papers we have counts for
7 papers
Coupling constant metamorphosis, Fermat principle and light propagation in Kerr metric
Joanna Piwnik, Joanna Gonera, Cezary Gonera +1
The geodesics of Kerr's metric are described by the four-dimensional Hamiltonian dynamics integrable in the Arnold--Liouville sense. It can be reduced to two-dimensional one by the…
Fermat Principle and weak deflection angle from Lindstedt-Poincare method
Joanna Piwnik, Joanna Gonera, Piotr Kosinski
The Fermat principle is advocated to be a convenient tool to analyze the light propagation in a curved space time. It is shown that in the weak deflection regime the light ray traj…
The covariance of chiral fermions theory
K. Andrzejewski, Y. Brihaye, C. Gonera +3
The quasiclassical theory of massless chiral fermions is considered. The effective action is derived using time-dependent variational principle which provides a clear interpretatio…
Dynamics on the cone: closed orbits and superintegrability
Y. Brihaye, P. Kosiński, P. Maślanka
The generalization of Bertrand's theorem to the case of the motion of point particle on the surface of a cone is presented. The superintegrability of such models is discussed. The…
Nonrelativistic counterparts of twistors and the realizations of Galilean conformal algebra
S. Fedoruk, P. Kosinski, J. Lukierski +1
Using the notion of Galilean conformal algebra (GCA) in arbitrary space dimension d, we introduce for d=3 quantized nonrelativistic counterpart of twistors as the spinorial represe…
Galilean invariance in 2+1 dimensions
Y. Brihaye, C. Gonera, S. Giller +1
The Galilean invariance in three dimensional space-time is considered. It appears that the Galilei group in 2+1 dimensions posses a three-parameter family of projective representat…