4 papers
The Bohlin variant of the Eisenhart lift
Anton Galajinsky
Inspired by the Bohlin transformation relating the planar harmonic oscillator to the Kepler problem, a variant of the Eisenhart lift is studied, in which a Lagrangian conservative…
Remarks on Galilean electromagnetism
Anton Galajinsky
It is shown that equations describing the Galilean electromagnetism in the presence of sources hold invariant under the l-conformal Galilei group for an arbitrary (half)integer par…
Rational Ruijsenaars-Schneider model with cosmological constant
Anton Galajinsky
The Ruijsenaars-Schneider models are integrable dynamical realizations of the Poincare group in 1+1 dimensions, which reduce to the Calogero and Sutherland systems in the nonrelati…
Remarks on integrability of N=1 supersymmetric Ruijsenaars-Schneider three-body models
Anton Galajinsky
Integrability of N=1 supersymmetric Ruijsenaars-Schneider three-body models based upon the potentials W(x)=2/x, W(x)=2/sin(x), and W(x)=2/sinh(x) is proven. The problem of construc…