123 citations · 710 across the 16 of their papers we have counts for
26 papers · 1 filter
Super-extended noncommutative Landau problem and conformal symmetry
Pedro D. Alvarez, Jose L. Cortes, Peter A. Horvathy +1
A supersymmetric spin-1/2 particle in the noncommutative plane, subject to an arbitrary magnetic field, is considered, with particular attention paid to the homogeneous case. The s…
Aharonov-Bohm effect on AdS_2 and nonlinear supersymmetry of reflectionless Poschl-Teller system
Francisco Correa, Vit Jakubsky, Mikhail S. Plyushchay
We explain the origin and the nature of a special nonlinear supersymmetry of a reflectionless Poschl-Teller system by the Aharonov-Bohm effect for a nonrelativistic particle on the…
Finite-gap systems, tri-supersymmetry and self-isospectrality
Francisco Correa, Vit Jakubsky, Mikhail S. Plyushchay
We show that an n-gap periodic quantum system with parity-even smooth potential admits isospectral super-extensions. Each is described by a tri-supersymmetry that originate…
Self-isospectrality, special supersymmetry, and their effect on the band structure
Francisco Correa, Vit Jakubsky, Luis-Miguel Nieto +1
We study a planar model of a non-relativistic electron in periodic magnetic and electric fields that produce a 1D crystal for two spin components separated by a half-period spacing…
Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry
Pedro D. Alvarez, Joaquim Gomis, Kiyoshi Kamimura +1
We investigate the planar anisotropic harmonic oscillator with explicit rotational symmetry as a particle model with non-commutative coordinates. It includes the exotic Newton-Hook…
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…