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2024 Journal Article An integrability illusion: vanishing transfer matrices associated with generalised Gaudin superalgebrasJones, Mitchell, Isaac, Phillip S. and Links, Jon (2024). An integrability illusion: vanishing transfer matrices associated with generalised Gaudin superalgebras. Nuclear Physics B, 1008 116706, 116706-1008. doi: 10.1016/j.nuclphysb.2024.116706 |
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2024 Journal Article Occupancy probabilities in superintegrable bosonic networksBennett, Lachlan, Foerster, Angela, Isaac, Phillip S. and Links, Jon (2024). Occupancy probabilities in superintegrable bosonic networks. Nuclear Physics B, 998 116406, 116406. doi: 10.1016/j.nuclphysb.2023.116406 |
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2024 Journal Article A connection between Uq(sl(3)) and Z2×Z2-graded special linear Lie colour algebras via Klein operatorsAlmutairi, Alhanouf M. and Isaac, Phillip S. (2024). A connection between Uq(sl(3)) and Z2×Z2-graded special linear Lie colour algebras via Klein operators. Journal of Mathematical Physics, 65 (1) 013503. doi: 10.1063/5.0163904 |
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2023 Journal Article NOON state measurement probabilities and outcome fidelities: a Bethe Ansatz approachBennett, Lachlan, Isaac, Phillip Simon and Links, Jon (2023). NOON state measurement probabilities and outcome fidelities: a Bethe Ansatz approach. Journal of Physics A: Mathematical and Theoretical, 56 (50) 505202, 1-27. doi: 10.1088/1751-8121/ad0a71 |
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2022 Journal Article Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebrasGould, Mark D., Isaac, Phillip Simon and Werry, Jason (2022). Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras. Journal of Physics A: Mathematical and Theoretical, 55 (23) 235201, 235201. doi: 10.1088/1751-8121/ac6715 |
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2020 Journal Article ℤ2 × ℤ2-Generalizations of Infinite-Dimensional Lie Superalgebra of Conformal Type with Complete Classification of Central ExtensionsAizawa, N., Isaac, P. S. and Segar, J. (2020). ℤ2 × ℤ2-Generalizations of Infinite-Dimensional Lie Superalgebra of Conformal Type with Complete Classification of Central Extensions. Reports on Mathematical Physics, 85 (3), 351-373. doi: 10.1016/S0034-4877(20)30041-0 |
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2020 Journal Article Ground-state energy of a Richardson-Gaudin integrable BCS modelShen, Yibing, Isaac, Phillip and Links, Jon (2020). Ground-state energy of a Richardson-Gaudin integrable BCS model. SciPost Physics Core, 2 (1) 001. doi: 10.21468/scipostphyscore.2.1.001 |
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2020 Journal Article The Z2×Z2-graded general linear Lie superalgebraIsaac, Phillip S., Stoilova, N. I. and Van der Jeugt, Joris (2020). The Z2×Z2-graded general linear Lie superalgebra. Journal of Mathematical Physics, 61 (1) 011702, 011702. doi: 10.1063/1.5138597 |
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2019 Journal Article Invariants and matrix elements of the quantum group U<sub>q</sub>[gl(n, C)] revisitedGould, Mark D. and Isaac, Phillip Simon (2019). Invariants and matrix elements of the quantum group Uq[gl(n, C)] revisited. Journal of Physics A: Mathematical and Theoretical, 52 (29) 295201, 295201. doi: 10.1088/1751-8121/ab2676 |
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2019 Journal Article Z2×Z2 generalizations of N=1 superconformal Galilei algebras and their representationsAizawa, N., Isaac, P. S. and Segar, J. (2019). Z2×Z2 generalizations of N=1 superconformal Galilei algebras and their representations. Journal of Mathematical Physics, 60 (2) 023507, 023507. doi: 10.1063/1.5054699 |
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2019 Journal Article On Casimir operators of conformal Galilei algebrasAlshammari, Fahad, Isaac, Phillip S. and Marquette, Ian (2019). On Casimir operators of conformal Galilei algebras. Journal of Mathematical Physics, 60 (1) 013509, 013509. doi: 10.1063/1.5064840 |
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2018 Journal Article Ground-state energies of the open and closed p + ip-pairing models from the Bethe AnsatzShen, Yibing, Isaac, Phillip S. and Links, Jon (2018). Ground-state energies of the open and closed p + ip-pairing models from the Bethe Ansatz. Nuclear Physics B, 937, 28-55. doi: 10.1016/j.nuclphysb.2018.08.015 |
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2018 Journal Article Energy-level crossings and number-parity effects in a bosonic tunneling modelAgboola, Davids, Isaac, Phillip Simon and Links, Jon (2018). Energy-level crossings and number-parity effects in a bosonic tunneling model. Journal of Physics B: Atomic, Molecular and Optical Physics, 51 (14) 145301, 145301. doi: 10.1088/1361-6455/aac6f2 |
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2018 Journal Article A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebrasAlshammari, Fahad, Isaac, Phillip S. and Marquette, Ian (2018). A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras. Journal of Physics A: Mathematical and Theoretical, 51 (6) 065206, 065206. doi: 10.1088/1751-8121/aaa468 |
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2017 Journal Article Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyondWerry, Jason L., Isaac, Phillip S. and Gould, Mark D. (2017). Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond. Journal of Physics A: Mathematical and Theoretical, 50 (36) 365202, 365202. doi: 10.1088/1751-8121/aa8119 |
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2017 Journal Article Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysisRubeni, D., Links, J., Isaac, P. S. and Foerster, A. (2017). Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysis. Physical Review A, 95 (4) 043607. doi: 10.1103/PhysRevA.95.043607 |
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2016 Journal Article An integrable case of the p + ip pairing Hamiltonian interacting with its environmentLukyanenko, Inna, Isaac, Phillip S. and Links, Jon (2016). An integrable case of the p + ip pairing Hamiltonian interacting with its environment. Journal of Physics A-Mathematical and Theoretical, 49 (8) 084001. doi: 10.1088/1751-8113/49/8/084001 |
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2015 Journal Article Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n)Werry, Jason L., Gould, Mark D. and Isaac, Phillip S. (2015). Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n). Journal of Mathematical Physics, 56 (12) 121703, 121703-1-121703-19. doi: 10.1063/1.4938076 |
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2015 Journal Article Reduced matrix elements of the orthosymplectic Lie superalgebraGould, Mark D. and Isaac, Phillip S. (2015). Reduced matrix elements of the orthosymplectic Lie superalgebra. Journal of Physics A: Mathematical and Theoretical, 48 (2) 025201, 1-39. doi: 10.1088/1751-8113/48/2/025201 |
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2015 Conference Publication Characteristic identities for Lie (super)algebrasIsaac, Phillip S., Werry, Jason L. and Gould, Mark D. (2015). Characteristic identities for Lie (super)algebras. 30th International Colloquium on Group Theoretical Methods in Physics (Group30), Ghent Belgium, 14-18 July, 2014. Bristol, United Kingdom: Institute of Physics Publishing. doi: 10.1088/1742-6596/597/1/012045 |
