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2025

Journal Article

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

Marquette, Ian, Zhang, Junze and Zhang, Yao-Zhong (2025). Algebraic structures and Hamiltonians from the equivalence classes of 2D conformal algebras. Annals of Physics, 477 169998, 1-26. doi: 10.1016/j.aop.2025.169998

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

2025

Journal Article

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

Lu, Pengcheng, Cao, Junpeng, Yang, Wen-Li, Marquette, Ian and Zhang, Yao-Zhong (2025). Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields. The Journal of High Energy Physics, 2025 (2) 87, 2. doi: 10.1007/jhep02(2025)087

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

2024

Journal Article

Charged massless scalar fields in a charged C-metric black hole: Exact solutions, Hawking radiation, and scattering of scalar waves

Chen, Ming, Tartaglino-Mazzucchelli, Gabriele and Zhang, Yao-Zhong (2024). Charged massless scalar fields in a charged C-metric black hole: Exact solutions, Hawking radiation, and scattering of scalar waves. Physical Review D, 110 (12) 124065. doi: 10.1103/physrevd.110.124065

Charged massless scalar fields in a charged C-metric black hole: Exact solutions, Hawking radiation, and scattering of scalar waves

2024

Journal Article

T-W relation and free energy of the antiperiodic XXZ chain with η=iπ/3 at a finite temperature

Lu, Pengcheng, Cao, Junpeng, Yang, Wen-Li, Marquette, Ian and Zhang, Yao-Zhong (2024). T-W relation and free energy of the antiperiodic XXZ chain with η=iπ/3 at a finite temperature. Journal of Physics A: Mathematical and Theoretical, 57 (44) 445205, 445205. doi: 10.1088/1751-8121/ad85b3

T-W relation and free energy of the antiperiodic XXZ chain with η=iπ/3 at a finite temperature

2024

Journal Article

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

Dong, Jiasheng, Lu, Pengcheng, Cao, Junpeng, Yang, Wen-Li, Marquette, Ian and Zhang, Yao-Zhong (2024). Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries. Journal of Physics A: Mathematical and Theoretical, 57 (30) 305202. doi: 10.1088/1751-8121/ad5ee3

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

2024

Journal Article

Bethe ansatz solutions and hidden sl(2) algebraic structure for a class of quasi-exactly solvable systems

Li, Siyu, Marquette, Ian and Zhang, Yao-Zhong (2024). Bethe ansatz solutions and hidden sl(2) algebraic structure for a class of quasi-exactly solvable systems. Annals of Physics, 462 169595, 169595. doi: 10.1016/j.aop.2024.169595

Bethe ansatz solutions and hidden sl(2) algebraic structure for a class of quasi-exactly solvable systems

2024

Journal Article

Finite dimensional irreducible representations of Lie superalgebra D (2, 1; α)

Chen, Xi, Yang, Wen-Li, Ding, Xiang-Mao and Zhang, Yao-Zhong (2024). Finite dimensional irreducible representations of Lie superalgebra D (2, 1; α). Communications in Theoretical Physics, 76 (2) 025002. doi: 10.1088/1572-9494/ad1588

Finite dimensional irreducible representations of Lie superalgebra D (2, 1; α)

2023

Journal Article

Polynomial algebras from commutants: Classical and Quantum aspects of 𝒜<sub>3</sub>

Campoamor-Stursberg, Rutwig, Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2023). Polynomial algebras from commutants: Classical and Quantum aspects of 𝒜3. Journal of Physics: Conference Series, 2667 (1) 012037, 1-10. doi: 10.1088/1742-6596/2667/1/012037

Polynomial algebras from commutants: Classical and Quantum aspects of 𝒜<sub>3</sub>

2023

Journal Article

On polynomial symmetry algebras underlying superintegrable systems in Darboux spaces

Marquette, Ian, Zhang, Junze and Zhang, Yao-Zhong (2023). On polynomial symmetry algebras underlying superintegrable systems in Darboux spaces. Journal of Physics: Conference Series, 2667 (1) 012046, 1-8. doi: 10.1088/1742-6596/2667/1/012046

On polynomial symmetry algebras underlying superintegrable systems in Darboux spaces

2023

Journal Article

Polynomial algebras from Lie algebra reduction chains g ⊃ g ′

Campoamor-Stursberg, Rutwig, Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2023). Polynomial algebras from Lie algebra reduction chains g ⊃ g ′. Annals of Physics, 459 169496, 1-19. doi: 10.1016/j.aop.2023.169496

Polynomial algebras from Lie algebra reduction chains g ⊃ g ′

2023

Journal Article

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

Marquette, Ian, Zhang, Junze and Zhang, Yao-Zhong (2023). Algebraic approach and exact solutions of superintegrable systems in 2D Darboux spaces. Journal of Physics A: Mathematical and Theoretical, 56 (35) 355201, 1-50. doi: 10.1088/1751-8121/ace949

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

2023

Journal Article

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

Marquette, Ian, Zhang, Junze and Zhang, Yao-Zhong (2023). Infinite-dimensional representations of cubic and quintic algebras and special functions. European Physical Journal Plus, 138 (6) 537, 1-17. doi: 10.1140/epjp/s13360-023-04155-2

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

2023

Journal Article

Finding new multipartite entangled resources for measurement-based quantum computation

Li, Wendong, Ma, Xiaoping, Lee, Yuan-Harng, Zhang, Yaozhong and Gu, Yongjian (2023). Finding new multipartite entangled resources for measurement-based quantum computation. Quantum Information Processing, 22 (3) 130, 1-15. doi: 10.1007/s11128-023-03870-0

Finding new multipartite entangled resources for measurement-based quantum computation

2023

Journal Article

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

Campoamor-Stursberg, Rutwig, Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2023). Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras. Journal of Physics A: Mathematical and Theoretical, 56 (4) 045202, 1-27. doi: 10.1088/1751-8121/acb576

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

2022

Journal Article

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

Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2022). Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators. Physica D: Nonlinear Phenomena, 440 133464, 1-20. doi: 10.1016/j.physd.2022.133464

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

2022

Journal Article

Editorial: Uncertainty relations and their applications

Wang, Dong, Hu, Ming-Liang, Feng, Jun and Zhang, Yao-Zhong (2022). Editorial: Uncertainty relations and their applications. Frontiers in Physics, 10 997835. doi: 10.3389/fphy.2022.997835

Editorial: Uncertainty relations and their applications

2022

Journal Article

Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras

Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2022). Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras. Journal of Physics A: Mathematical and Theoretical, 55 (33) 335203, 1-42. doi: 10.1088/1751-8121/ac7ca3

Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras

2022

Book

Uncertainty relations and their applications

Dong Wang, Ming-Liang Hu, Jun Feng and Yao-Zhong Zhang eds. (2022). Uncertainty relations and their applications. Frontiers Research Topics, Lausanne, Switzerland: Frontiers Research Foundation. doi: 10.3389/978-2-83250-137-5

Uncertainty relations and their applications

2021

Journal Article

Exact solution of the two-axis two-spin Hamiltonian

Pan, Feng, Zhang, Yao-Zhong, Qi, Xiaohan, Liang, Yue, Zhang, Yuqing and Draayer, Jerry P. (2021). Exact solution of the two-axis two-spin Hamiltonian. Journal of Statistical Mechanics: Theory and Experiment, 2021 (10) 103104. doi: 10.1088/1742-5468/ac26b3

Exact solution of the two-axis two-spin Hamiltonian

2021

Journal Article

Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures

Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2021). Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures. Journal of Physics A: Mathematical and Theoretical, 54 (39) 395202, 395202. doi: 10.1088/1751-8121/ac1ee8

Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures