3 citations · 8 across the 7 of their papers we have counts for
9 papers
Edge solitons in the QHE
M Hassaine, P. A. Horvathy, J-C. Yera
The spacelike reduction of the Chern-Simons Lagrangian yields a modified Nonlinear Schrödinger Equation (jNLS) where in the non-linearity the particle density is replaced by curren…
New applications of the Biedenharn-Temple operator
P. A. Horvathy
The Biedenharn approach to the Dirac-Coulomb problem is applied to a system considered by D'Hoker and Vinet, which consists of a spin $\2$ particle in the combined field of a Dirac…
Celestial mechanics, from high-school to Newton's Principia
P. A. Horvathy
A high-school exercise is used to get an insight into planetary motion.
Noncommuting coordinates in the Hall effect and in vortex dynamics
P. A. Horvathy
Laughlin's Ansatz to explain the fractional Quantum Hall effect is derived by coupling a particle associated with ``exotic'' the two-fold central extension of the planar Galilei gr…
Nonrelativistic conformal structures
P. A. Horvathy
The ``Kaluza-Klein-type'' geometric structure appropriate to study the central extension of the Galilei group and non-relativistic physics is reviewed.
Mathisson' spinning electron: noncommutative mechanics & exotic Galilean symmetry, 66 years ago
P. A. Horvathy
The acceleration-dependent system with noncommuting coordinates, proposed by Lukierski, Stichel and Zakrzewski [Ann. Phys. 260, 224 (1997)] is derived as the non-relativistic limit…