23 citations · 132 across the 19 of their papers we have counts for
5 papers · 1 filter
Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras
Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette +1
Starting from a purely algebraic procedure based on the commutant of a subalgebra in the universal enveloping algebra of a given Lie algebra, the notion of algebraic Hamiltonians a…
Recurrence relations and general solution of the exceptional Hermite equation
Alfred Michel Grundland, Danilo Latini, Ian Marquette
Exceptional orthogonal Hermite and Laguerre polynomials have been linked to the k-step extension of harmonic and singular oscillators. The exceptional polynomials allow the existen…
The coalgebra symmetry and the superintegrable discrete-time systems
Giorgio Gubbiotti, Danilo Latini
In this paper, we classify all the variational discrete-time systems in quasi-standard form in degrees of freedom admitting coalgebra symmetry with respect to the generic reali…
Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras
Danilo Latini, Ian Marquette, Yao-Zhong Zhang
We propose a systematic procedure to construct polynomial algebras from intermediate Casimir invariants arising from (semisimple or non-semisimple) Lie algebras . In…
Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators
Danilo Latini, Ian Marquette, Yao-Zhong Zhang
We introduce the general polynomial algebras characterizing a class of higher order superintegrable systems that separate in Cartesian coordinates. The construction relies on under…