91 citations · 1.2k across the 114 of their papers we have counts for
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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…
Finite-dimensional -graded Lie algebras
Mark D. Gould, Phillip S. Isaac, Ian Marquette +1
We investigate the structure and representation theory of finite-dimensional -graded Lie algebras, including the corresponding root systems and Verma, irreducible, and…
Polynomial deformations of and unified algebraic framework for solutions of a class of spin models
Siyu Li, Ian Marquette, Yao-Zhong Zhang
We introduce novel polynomial deformations of the Lie algebra . We construct their finite-dimensional irreducible representations and the corresponding differential operator…
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…