123 citations · 1.4k across the 53 of their papers we have counts for
53 papers
A Casimir operator for a Calogero algebra
Francisco Correa, Gonzalo Leal, Olaf Lechtenfeld +1
We investigate the nonlinear algebra generated by the 9 functionally independent permutation-symmetric operators in the three-particle rational quantum Calogero model. Decoup…
Integrability meets the charged relativistic particle
Francisco Correa, Justo López-Sarrión
We notice an analogy between the motion of a relativistic particle with external homogeneous and time-dependent electromagnetic fields and the Dik'ii-Eilenberger equation for the B…
Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models
Francisco Correa, Andreas Fring, Octavio Quintana
We propose generalizations of Calogero models that exhibit invariance with respect to the infinite Weyl groups of affine, hyperbolic, and Lorentzian types. Our approach involves de…
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 …
Moduli spaces for PT-regularized solitons
Francisco Correa, Andreas Fring, Takanobu Taira
We construct and analyse the moduli space (collective coordinates) for a classical field theory in 1 + 1 dimensions that possesses complex stable multi-soliton solutions with real…
Stability in integrable nonlocal nonlinear equations
Julia Cen, Francisco Correa, Andreas Fring +1
Recently a variety of nonlocal integrable systems has been introduced that besides fields located at particlar space-time points simultaneously also contain fields that are located…