2 citations · 2 across the 8 of their papers we have counts for
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Geometric construction of superintegrable Poisson projection chains via Poisson centralizers
Kai Jiang, Guorui Ma, Ian Marquette +2
We introduce a geometric framework for constructing superintegrable systems from Poisson centralizers (commutants) in the Lie-Poisson algebra of a complex semisim…
Poisson Centralisers and Polynomial Superintegrability for Magnetic Geodesic Flows on Reductive Homogeneous Spaces
Kai Jiang, Guorui Ma, Ian Marquette +2
We provide a method for formulating superintegrable magnetic geodesic flows on reductive homogeneous spaces , with a compact semisimple Lie group and a closed subgro…
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…
New quasi-exactly solvable systems from SUSYQM and Bethe Ansatz
Siyu Li, Ian Marquette, Yao-Zhong Zhang
We give a systematic construction of new quasi-exactly solvable systems via Bethe ansatz and supersymmetric quantum mechanics (SUSYQM). Methods based on the intertwining of superch…
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…