95 citations · 2.4k across the 176 of their papers we have counts for
176 papers
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…
Infinite dimensional representations of cubic and quintic algebras and special functions
Ian Marquette, Junze Zhang, Yao-Zhong Zhang
Finite and Infinite-dimensional representations of symmetry algebras play a significant role in determining the spectral properties of physical Hamiltonians. In this paper, we intr…
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…
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…