123 citations · 710 across the 16 of their papers we have counts for
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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…
Hidden nonlinear supersymmetry of finite-gap Lame equation
Francisco Correa, Luis-Miguel Nieto, Mikhail S. Plyushchay
A bosonized nonlinear (polynomial) supersymmetry is revealed as a hidden symmetry of the finite-gap Lame equation. This gives a natural explanation for peculiar properties of the p…
Hidden supersymmetry in quantum bosonic systems
Francisco Correa, Mikhail S. Plyushchay
We show that some simple well studied quantum mechanical systems without fermion (spin) degrees of freedom display, surprisingly, a hidden supersymmetry. The list includes the boun…
Majorana equation and exotics: higher derivative models, anyons and noncommutative geometry
Mikhail S. Plyushchay
In 1932 Ettore Majorana proposed an infinite-component relativistic wave equation for particles of arbitrary integer and half-integer spin. In the late 80s and early 90s it was fou…
Anyons and the Landau problem in the noncommutative plane
Mikhail S. Plyushchay
The Landau problem in the noncommutative plane is discussed in the context of realizations of the two-fold centrally extended planar Galilei group and the anyon theory.