6 papers · 1 filter
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…
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…