174 citations · 482 across the 24 of their papers we have counts for
7 papers · 1 filter
Dynamics of semiclassical Bloch wave - packets
P. A. Horvathy, L. Martina
The semiclassical approximation for electron wave-packets in crystals leads to equations which can be derived from a Lagrangian or, under suitable regularity conditions, in a Hamil…
Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane
Peter A. Horvathy, Mikhail S. Plyushchay, Mauricio Valenzuela
A covariant set of linear differential field equations, describing an N=1 supersymmetric anyon system in (2+1)D, is proposed in terms of Wigner's deformation of the bosonic Heisenb…
Non-commutative mechanics, in mathematical & in condensed matter physics
P. A. Horvathy
Non-commutative structures were introduced, independently and around the same time, in mathematical and in condensed matter physics (see Table~1). Souriau's construction applied to…
Exotic galilean symmetry and non-commutative mechanics in mathematical & in condensed matter physics
P. A. Horvathy
The ``exotic'' particle model with non-commuting position coordinates, associated with the two-parameter central extension of the planar Galilei group, can be used to derive the gr…
Strings in plane-fronted gravitational waves
C. Duval, Z. Horvath, P. A. Horvathy
Brinkmann's plane-fronted gravitational waves with parallel rays --~shortly pp-waves~-- are shown to provide, under suitable conditions, exact string vacua at all orders of the sig…
The Biedenharn Approach to Relativistic Coulomb-type Problems
P. A. Horvathy
The approach developped by Biedeharn in the sixties for the relativistic Coulomb problem is reviewed and applied to various physical problems.