18 citations · 36 across the 10 of their papers we have counts for
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Supersymmetry of the magnetic vortex
C Duval, P Horvathy
The N=2 supersymmetry of the Pauli Hamiltonian in any static magnetic field in the plane combines, for the magnetic vortex, with Jackiw's bosonic symmetry, into…
Non-Relativistic Conformal and Supersymmetries
P. A. Horvathy
Non-relativistic conformal (''Schrödinger'') symmetry is derived in a Kaluza-Klein type framework. Lightlike reduction of the massless Dirac equation from 5D Minkowski space yields…
Bosonized supersymmetry from the Majorana-Dirac-Staunton theory and massive higher-spin fields
Peter A. Horvathy, Mikhail S. Plyushchay, Mauricio Valenzuela
We propose a (3+1)D linear set of covariant vector equations, which unify the spin 0 ``new Dirac equation'' with its spin 1/2 counterpart, proposed by Staunton. Our equations descr…
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…
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…