26 citations · 152 across the 13 of their papers we have counts for
13 papers
Non-Hermitian superintegrable systems
Francisco Correa, Luis Inzunza, Ian Marquette
A non-Hermitian generalisation of the Marsden--Weinstein reduction method is introduced to construct families of quantum -symmetric superintegrable models over an …
Conformal bridge transformation, - and super- symmetry
Luis Inzunza, Mikhail S. Plyushchay
Supersymmetric extensions of the 1D and 2D Swanson models are investigated by applying the conformal bridge transformation (CBT) to the first order Berry-Keating Hamiltonian multip…
Dynamics, symmetries, anomaly and vortices in a rotating cosmic string background
Luis Inzunza, Mikhail S. Plyushchay
Non-relativistic conformally invariant systems in a rotating cosmic string (conical) spacetime are analyzed at the classical and quantum levels by means of the gravitoelectromagnet…
Conformal bridge transformation and PT symmetry
Luis Inzunza, Mikhail S. Plyushchay
The conformal bridge transformation (CBT) is reviewed in the light of the symmetry. Originally, the CBT was presented as a non-unitary transformation (a complex cano…
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…
Hidden symmetries of rationally deformed superconformal mechanics
Luis Inzunza, Mikhail S. Plyushchay
We study the spectrum generating closed nonlinear superconformal algebra that describes super-extensions of rationally deformed quantum harmonic oscillator and conf…
Hidden superconformal symmetry: Where does it come from?
Luis Inzunza, Mikhail S. Plyushchay
It is known that a single quantum harmonic oscillator is characterized by a hidden spectrum generating superconformal symmetry, but its origin has remained rather obscure. We show…
Rational deformations of conformal mechanics
José F. Cariñena, Luis Inzunza, Mikhail S. Plyushchay
We study deformations of the quantum conformal mechanics of De Alfaro-Fubini-Furlan with rational additional potential term generated by applying the generalized Darboux-Crum-Krein…