Ian Marquette - INSPIRE

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

#1

(Mar 21, 2025)

Published in:
- Annals Phys. 477 (2025) 169998

Polynomial algebra from the Lie algebra reduction chain

\mathfrak{su}(4) \supset \mathfrak{su}(2) \times \mathfrak{su}(2)

: The supermultiplet model

#2

(Mar 6, 2025)

e-Print:
- 2503.04108 [math-ph]

pdf

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On the construction of polynomial Poisson algebras: a novel grading approach

#3

(Mar 5, 2025)

e-Print:
- 2503.03490 [math-ph]

pdf

reference search1 citation

Stäckel transform, coupling constant metamorphosis and algebraization of quasi-exactly solvable systems

#4

(Feb 18, 2025)

e-Print:
- 2502.13365 [math-ph]

pdf

reference search1 citation

Exact physical quantities of the

D_2^{(2)}

spin chain model with generic open boundary conditions

#5

(Feb 13, 2025)

e-Print:
- 2502.09262 [math-ph]

pdf

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Generalized quantum Zernike Hamiltonians: Polynomial Higgs-type algebras and algebraic derivation of the spectrum

#6

(Feb 4, 2025)

e-Print:
- 2502.02491 [quant-ph]

pdf

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

#7

(Jul 30, 2024)

Published in:
- JHEP 02 (2025) 087
•
e-Print:
- 2407.21258 [math-ph]

pdfDOI

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

#8

(Jul 29, 2024)

Published in:
- J.Phys.A 57 (2024) 32, 325204

pdfDOI

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

X_{1}

#9

Ian Marquette

(Jul 25, 2024)

Published in:
- Physica D 473 (2025) 134547
•
e-Print:
- 2407.18453 [math-ph]

pdfDOI

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Representations of quadratic Heisenberg-Weyl algebras and polynomials in the fourth Painlevé transcendent

#10

Ian Marquette

(Jul 1, 2024)

e-Print:
- 2407.01289 [math-ph]

pdf

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T − W relation and free energy of the antiperiodic XXZ chain with

\eta = \frac{i\pi}{3}

at a finite temperature

#11

Pengcheng Lu
(
- Queensland U.
)
,
Junpeng Cao
(
- Beijing, Inst. Phys. and
- Beijing, GUCAS and
- Unlisted, CN and
- Xibei U. and
- Northwest U. (main), Xian and
- Shaanxi Key Lab. Theor. Phys. Frontiers, Xi'an
)
,
Wen-Li Yang
(
)
,
Ian Marquette
(
- La Trobe U.
)
,
Yao-Zhong Zhang
(
- Queensland U.
)

(Feb 7, 2024)

Published in:
- J.Phys.A 57 (2024) 44, 445205,
- J.Phys.A 57 (2024) 445205
•
e-Print:
- 2402.04849 [cond-mat.stat-mech]

DOI

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Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries

#12

et al.

(Jan 6, 2024)

Published in:
- J.Phys.A 57 (2024) 30, 305202
•
e-Print:
- 2401.03172 [math-ph]

DOI

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Superintegrability and deformed oscillator realizations of quantum TTW Hamiltonians on constant-curvature manifolds and with reflections in a plane

#13

(Sep 22, 2023)

Published in:
- J.Phys.A 57 (2024) 13, 135201
•
e-Print:
- 2309.12622 [math-ph]

DOI

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Bethe ansatz solutions and hidden

s l (2)

algebraic structure for a class of quasi-exactly solvable systems

#14

(Sep 20, 2023)

Published in:
- Annals Phys. 462 (2024) 169595
•
e-Print:
- 2309.11731 [math-ph]

pdfDOI

reference search4 citations

Polynomial algebras from commutants: Classical and Quantum aspects of 𝒜

_{3}

#15

(Aug 24, 2023)

Published in:
- J.Phys.Conf.Ser. 2667 (2023) 1, 012037
•
Contribution to:
- QTS12
•
e-Print:
- 2308.12705 [math-ph]

DOI

reference search2 citations

A Casimir operator for a Calogero W algebra

#16

Francisco Correa
(
- Chile Austral U., Valdivia
)
,
Gonzalo Leal
(
- Leibniz U., Hannover
)
,
Olaf Lechtenfeld
(
- Leibniz U., Hannover
)
,
Ian Marquette
(
- Queensland U.
)

(Aug 14, 2023)

Published in:
- J.Phys.A 57 (2024) 8, 085203
•
e-Print:
- 2308.07390 [hep-th]

DOI

reference search2 citations

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

^{*}

#17

(Apr 13, 2023)

Published in:
- J.Phys.A 56 (2023) 34, 345205
•
e-Print:
- 2304.06458 [math-ph]

DOI

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Non-Hermitian superintegrable systems

#18

(Apr 3, 2023)

Published in:
- J.Phys.A 56 (2023) 34, 345207
•
e-Print:
- 2304.01039 [math-ph]

pdfDOI

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Polynomial algebras from Lie algebra reduction chains

g

\supset

g

^{'}

#19

(Mar 2, 2023)

Published in:
- Annals Phys. 459 (2023) 169496
•
e-Print:
- 2303.00975 [math-ph]

pdfDOI

reference search2 citations

Infinite-dimensional representations of cubic and quintic algebras and special functions

#20

(Feb 23, 2023)

Published in:
- Eur.Phys.J.Plus 138 (2023) 6, 537
•
e-Print:
- 2302.11945 [math-ph]

pdfDOI

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

#21

(Jan 10, 2023)

Published in:
- J.Phys.A 56 (2023) 35, 355201
•
e-Print:
- 2301.03810 [nlin.SI]

DOI

reference search3 citations

Recurrence Relations and General Solution of the Exceptional Hermite Equation

#22

(Nov 1, 2022)

Published in:
- Annales Henri Poincare 25 (2024) 8, 3779-3804
•
e-Print:
- 2211.00327 [math-ph]

pdfDOI

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Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras

#23

(Apr 14, 2022)

Published in:
- J.Phys.A 55 (2022) 33, 335203
•
e-Print:
- 2204.06840 [math-ph]

pdfDOI

reference search1 citation

Generalized quadratic commutator algebras of PBW-type

#24

(Apr 12, 2022)

Published in:
- J.Math.Phys. 63 (2022) 12, 121703
•
e-Print:
- 2204.05801 [math-ph]

pdfDOI

reference search2 citations

Dynamical symmetry algebras of two superintegrable two-dimensional systems

#25

Ian Marquette
(
- Queensland U.
)
,
Christiane Quesne
(
- Brussels U., PNTPM
)

(Mar 12, 2022)

Published in:
- J.Phys.A 55 (2022) 41, 415203
•
e-Print:
- 2203.06443 [math-ph]

pdfDOI

reference search1 citation

Ian Marquette(
Queensland U.
)

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Ian Marquette(Queensland U.)

Date of paper

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Ian Marquette(
Queensland U.
)