174 citations · 482 across the 24 of their papers we have counts for
8 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…
The Dirac equation in Taub-NUT space
A. Comtet, P. A. Horvathy
Using chiral supersymmetry, we show that the massless Dirac equation in the Taub-NUT gravitational instanton field is exactly soluble and explain the arisal and the use of the dyna…
Hamiltonian aspects of Bogoliubov quasiparticles
Z. Horvath, P. A. Horvathy, L. Martina
The Bogoliubov particle considered in [cond-mat/0507125] admits, contrarily to the claim of the authors, an interesting Hamiltonian structure.
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…