59 citations · 471 across the 35 of their papers we have counts for
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N-Galilean conformal algebras and quantum theory with higher order time derivatives
K. Andrzejewski, J. Gonera, P. Kosinski
It is shown that centrally extended N-Galilean conformal algebra, with N-odd, is the maximal symmetry algebra of the Schrodinger equation corresponding to the free Lagrangian invol…
Generalized Newton transformation and its applications to extrinsic geometry
Krzysztof Andrzejewski, Wojciech Kozlowski, Kamil Niedzialomski
In this article we introduce a generalization of the Newton transformation to the case of a system of endomorphisms. We show that it can be used in the context of extrinsic geometr…
N-Galilean conformal algebras and higher derivatives Lagrangians
K. Andrzejewski, J. Gonera
It is shown that the N-Galilean conformal algebra, with N-odd, is the maximal symmetry algebra of the free Lagrangian involving (N+1)/2-th order time derivative.
Newton-Hooke type symmetry of anisotropic oscillators
P. M. Zhang, P. A. Horvathy, K. Andrzejewski +2
The rotation-less Newton--Hooke - type symmetry found recently in the Hill problem and instrumental for explaining the center-of-mass decomposition is generalized to an arbitrary a…
Nonrelativistic conformal groups and their dynamical realizations
K. Andrzejewski, J. Gonera, P. Maslanka
Nonrelativistic conformal groups, indexed by l=N/2, are analyzed. Under the assumption that the "mass" parametrizing the central extension is nonvanishing the coadjoint orbits are…
Nonlinear realizations, the orbit method and Kohn's theorem
K. Andrzejewski, J. Gonera, P. Kosinski
The orbit method is used to describe the centre of mass motion of the system of particles with fixed charge to mass ratio moving in homogeneous magnetic field and confined by harmo…