172 citations · 3.5k across the 115 of their papers we have counts for
5 papers · 1 filter
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…
Hidden nonlinear su(2|2) superunitary symmetry of N=2 superextended 1D Dirac delta potential problem
Francisco Correa, Luis-Miguel Nieto, Mikhail S. Plyushchay
We show that the N=2 superextended 1D quantum Dirac delta potential problem is characterized by the hidden nonlinear superunitary symmetry. The unexpected feature of this…
Peculiarities of the hidden nonlinear supersymmetry of Poschl-Teller system in the light of Lame equation
Francisco Correa, Mikhail S. Plyushchay
A hidden nonlinear bosonized supersymmetry was revealed recently in Poschl-Teller and finite-gap Lame systems. In spite of the intimate relationship between the two quantum models,…
(2+1)D Exotic Newton-Hooke Symmetry, Duality and Projective Phase
Pedro D. Alvarez, Joaquim Gomis, Kiyoshi Kamimura +1
A particle system with a (2+1)D exotic Newton-Hooke symmetry is constructed by the method of nonlinear realization. It has three essentially different phases depending on the value…