346 citations · 3.2k across the 53 of their papers we have counts for
6 papers · 1 filter
Celestial Mechanics, Conformal Structures, and Gravitational Waves
C. Duval, G. Gibbons, P. Horvathy
The equations of motion for non-relativistic particles attracting according to Newton's law are shown to correspond to the equations for null geodesics in a -dimensiona…
Non-relativistic supersymmetry
C. Duval, P. A. Horvathy
The supersymmetric extensions of the Schrödinger algebra are reviewed.
Geometrical Spinoptics and the Optical Hall Effect
Christian Duval, Zalan Horvath, Peter Horvathy
Geometrical optics is extended so as to provide a model for spinning light rays via the coadjoint orbits of the Euclidean group characterized by color and spin. This leads to a the…
Comment on "Berry phase correction to electron density in solids" by Xiao et al
C. Duval, Z. Horvath, P. Horvathy +2
The main result of Xiao et al. [ Phys. Rev. Lett. 95, 137204 (2005)] is shown to follow from Hamiltonian mechanics.
Fermat Principle for spinning light
C. Duval, Z. Horvathy, P. A. Horvathy
Mimicking the description of spinning particles in General Relativity, the Fermat Principle is extended to spinning photons. Linearization of the resulting Papapetrou-Souriau type…
Berry phase correction to electron density in solids and "exotic" dynamics
C. Duval, Z. Horvath, P. A. Horvathy +2
Recent results on the semiclassical dynamics of an electron in a solid are explained using techniques developed for ``exotic'' Galilean dynamics. The system is indeed Hamiltonian a…