17 citations · 17 across the 2 of their papers we have counts for
7 papers
Conformal generation of an exotic rotationally invariant harmonic oscillator
Luis Inzunza, Mikhail S. Plyushchay
An exotic rotationally invariant harmonic oscillator (ERIHO) is constructed by applying a non-unitary isotropic conformal bridge transformation (CBT) to a free planar particle. It…
Hidden symmetries and nonlinear (super)algebras
Luis Inzunza
Hidden symmetries, described by higher order in momenta integrals of motion that generate nonlinear algebras, are explored at the level of classical and quantum mechanics in a vari…
Conformal bridge in a cosmic string background
Luis Inzunza, Mikhail S. Plyushchay
Hidden symmetries of non-relativistic invariant systems in a cosmic string background are studied using the conformal bridg…
Hidden symmetry and (super)conformal mechanics in a monopole background
Luis Inzunza, Mikhail S. Plyushchay, Andreas Wipf
We study classical and quantum hidden symmetries of a particle with electric charge in the background of a Dirac monopole of magnetic charge subjected to an additional cent…
Conformal bridge between asymptotic freedom and confinement
Luis Inzunza, Mikhail S. Plyushchay, Andreas Wipf
We construct a nonunitary transformation that relates a given "asymptotically free" conformal quantum mechanical system with its confined, harmonically trapped version .…
Klein four-group and Darboux duality in conformal mechanics
Luis Inzunza, Mikhail S. Plyushchay
We study the Klein four-group symmetry of the time-dependent Schrödinger equation for the conformal mechanics model of de Alfaro-Fubini-Furlan (AFF) with confining harmonic…