23 citations · 132 across the 19 of their papers we have counts for
20 papers
Subalgebra chains and nuclear physics: Commutant approach and construction of polynomial algebras
Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette +2
In this paper, we review a new approach to study subalgebra chains in the context of nuclear physics. This approach does not rely on explicit r…
Generalized classical and quantum Zernike Hamiltonians
Francisco J. Herranz, Alfonso Blasco, Rutwig Campoamor-Stursberg +3
A superintegrable generalization of the classical and quantum Zernike systems is reviewed. The corresponding Hamiltonians are endowed with higher-order integrals and can be interpr…
Polynomial algebra from the Lie algebra reduction chain : The supermultiplet model
Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette +2
The supermultiplet model, based on the reduction chain , is revisited through the lens of commutants within unive…
On the construction of polynomial Poisson algebras: a novel grading approach
Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette +2
In this work, we refine recent results on the explicit construction of polynomial algebras associated with commutants of subalgebras in enveloping algebras of Lie algebras by consi…
Generalized quantum Zernike Hamiltonians: Polynomial Higgs-type algebras and algebraic derivation of the spectrum
Rutwig Campoamor-Stursberg, Francisco J. Herranz, Danilo Latini +2
We consider the quantum analog of the generalized Zernike systems given by the Hamiltonian: $$\hat{\mathcal{H}}_N =\hat{p}_1^2+\hat{p}_2^2+\sum_{k=1}^N γ_k (\hat{q}_1 \hat{p}_1+\ha…
Polynomial Poisson Algebras and Superintegrable Systems from Cartan centralisers of Types , and
Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette +2
In this work, we construct explicit formulas for the generators of the Cartan centralisers of complex semisimple Lie algebras and , the case being already know…
Polynomial algebras from commutants: Classical and Quantum aspects of
Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette +1
We review some aspects of the Racah algebra , including the closure relations, pointing out their role in superintegrability, as well as in the description of the symmetry al…
Polynomial algebras from Lie algebra reduction chains
Rutwig Campoamor-Stursberg, Danilo Latini, Ian Marquette +1
We reexamine different examples of reduction chains of Lie algebras in order to show how the polynomials determining the commutant with respect…
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…
Coalgebra symmetry for discrete systems
G. Gubbiotti, D. Latini, B. K. Tapley
In this paper we introduce the notion of coalgebra symmetry for discrete systems. With this concept we prove that all discrete radially symmetric systems in standard form are quasi…
Racah Algebra from Coalgebraic Structures and Chains of Substructures
Danilo Latini, Ian Marquette, Yao-Zhong Zhang
The recent interest in the study of higher-rank polynomial algebras related to -dimensional classical and quantum superintegrable systems with coalgebra symmetry and their conne…
Embedding of the Racah Algebra R() and Superintegrability
Danilo Latini, Ian Marquette, Yao-Zhong Zhang
The rank- Racah algebra plays a pivotal role in the theory of superintegrable systems. It appears as the symmetry algebra of the -parameter system on the -sphere fr…
A multiple scales approach to maximal superintegrability
G. Gubbiotti, D. Latini
In this paper we present a simple, algorithmic test to establish if a Hamiltonian system is maximally superintegrable or not. This test is based on a very simple corollary of a the…
The classical Darboux III oscillator: factorization, Spectrum Generating Algebra and solution to the equations of motion
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +3
In a recent paper the so-called Spectrum Generating Algebra (SGA) technique has been applied to the N-dimensional Taub-NUT system, a maximally superintegrable Hamiltonian system wh…
The classical Taub-Nut System: factorization, spectrum generating algebra and solution to the equations of motion
Danilo Latini, Orlando Ragnisco
The formalism of SUSYQM (SUperSYmmetric Quantum Mechanics) is properly modified in such a way to be suitable for the description and the solution of a classical maximally superinte…
Group Momentum Space and Hopf Algebra Symmetries of Point Particles Coupled to 2+1 Gravity
Michele Arzano, Danilo Latini, Matteo Lotito
We present an in-depth investigation of the momentum space describing point particles coupled to Einstein gravity in three space-time dimensions. We introd…