Ian MARQUETTE

Lecturer

University of Queensland

Australia

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Ian Marquette is a Lecturer at the University of Queensland, Australia. His research primarily focuses on algebraic structures, spin models, and Hamiltonians, as evidenced by his recent publications on polynomial deformations, polynomially superintegrable Hamiltonians, and the equivalence classes of 2D conformal algebras. Additionally, he explores exact physical quantities in spin chain models and special function representations related to exceptional equations.

Articles (20)

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2025

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2022

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2022

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2022

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2022

Collaborators (2)

Peter D. Jarvis

AUSTRALIA

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Rutwig Campoamor-Stursberg

Universidad Complutense de Madrid

SPAIN

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Ian MARQUETTE

Research Interests

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About

Articles (20)

Polynomial deformations of sl(2) and unified algebraic framework for solutions of a class of spin models

Polynomially superintegrable Hamiltonians separating in Cartesian coordinates

Algebraic structures and Hamiltonians from the equivalence classes of 2D conformal algebras

Exact physical quantities of the $$ {D}_2^{(2)} $$ spin chain model with generic open boundary conditions

Exact physical quantities of the $$ {D}_2^{(2)} $$ spin chain model with generic open boundary conditions

Cubic algebras, induced representations and general solution of the exceptional Laguerre equation X1

Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields

T − W relation and free energy of the antiperiodic XXZ chain with η = i π 3 at a finite temperature

Special function models of indecomposable sl(2) representations: the Laguerre case

Recurrence Relations and General Solution of the Exceptional Hermite Equation

Algebraic approach and exact solutions of superintegrable systems in 2D Darboux spaces

Non-Hermitian superintegrable systems

The Lie algebra of the lowest transitively differential group of degree three *

Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras

Generalized quadratic commutator algebras of PBW-type

Algebraic Construction of Associated Functions of Nondiagonalizable Models with Anharmonic Oscillator Complex Interaction

On the general family of third-order shape-invariant Hamiltonians related to generalized Hermite polynomials

Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators

Dynamical symmetry algebras of two superintegrable two-dimensional systems

Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras

Collaborators (2)

Peter D. Jarvis

Rutwig Campoamor-Stursberg

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