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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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2022 Journal Article Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropyGould, Mark and Pulemotov, Artem (2022). Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy. Communications in Analysis and Geometry, 30 (8), 1849-1893. doi: 10.4310/cag.2022.v30.n8.a8 |
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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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2018 Journal Article Fine-grained uncertainty relations under relativistic motionFeng, Jun, Zhang, Yao-Zhong, Gould, Mark D. and Fan, Heng (2018). Fine-grained uncertainty relations under relativistic motion. Europhysics Letters, 122 (6) 60001. doi: 10.1209/0295-5075/122/60001 |
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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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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 Uncertainty relation in Schwarzschild spacetimeFeng, Jun, Zhang, Yao-Zhong, Gould, Mark D. and Fan, Heng (2015). Uncertainty relation in Schwarzschild spacetime. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 743, 198-204. doi: 10.1016/j.physletb.2015.02.058 |
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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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2014 Journal Article Probing Planckian physics in de Sitter space with quantum correlationsFeng, Jun, Zhang, Yao-Zhong, Gould, Mark D., Fan, Heng, Sun, Cheng-Yi and Yang, Wen-Li (2014). Probing Planckian physics in de Sitter space with quantum correlations. Annals of Physics, 351, 872-899. doi: 10.1016/j.aop.2014.10.014 |
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2014 Journal Article Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n)Gould, Mark D., Isaac, Phillip S. and Werry, Jason L. (2014). Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n). Journal of Mathematical Physics, 55 (011703) 011703, 011703.1-011703.32. doi: 10.1063/1.4861706 |
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2013 Journal Article Entropic uncertainty relations under the relativistic motionFeng, Jun, Zhang, Yao-Zhong, Gould, Mark D. and Fan, Heng (2013). Entropic uncertainty relations under the relativistic motion. Physics Letters B, 726 (1-3), 527-532. doi: 10.1016/j.physletb.2013.08.069 |
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2013 Journal Article Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)Gould, Mark D., Isaac, Phillip S. and Werry, Jason L. (2013). Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n). Journal of Mathematical Physics, 54 (1) 013505, 013505. doi: 10.1063/1.4773573 |
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2008 Journal Article A definition for the covalent and ionic bond index in a moleculeGould, Mark D., Taylor, Christopher, Wolff, Stephen K., Chandler, Graham S. and Jayatilaka, Dylan (2008). A definition for the covalent and ionic bond index in a molecule. Theoretical Chemistry Accounts, 119 (1-3), 275-290. doi: 10.1007/s00214-007-0282-x |
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2008 Journal Article Local quasitriangular Hopf algebrasZhang, Shouchuan, Gould, Mark D. and Zhang, Yao-Zhong (2008). Local quasitriangular Hopf algebras. Symmetry, Integrability and Geometry: Methods and Applications, 4 042, 1-14. doi: 10.3842/SIGMA.2008.042 |
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2007 Journal Article Finite matrix Model of Quantum Hall Fluids on S2Chen, Y. X., Gould, M. D. and Zhang, Y. Z. (2007). Finite matrix Model of Quantum Hall Fluids on S2. Bulletin of the Australian Mathematical Society, 76 (1), 111-132. doi: 10.1017/S0004972700039502 |
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2007 Journal Article Lax operator for the quantised orthosymplectic superalgebra Uq[osp(m\n)]Dancer, K. A., Gould, M. D. and Links, J. (2007). Lax operator for the quantised orthosymplectic superalgebra Uq[osp(m\n)]. Algebras and Representation Theory, 10 (6), 593-617. doi: 10.1007/s10468-007-9049-2 |
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2006 Journal Article Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]Dancer, K. A., Gould, M. D. and Links, J. (2006). Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]. Journal of Statistical Mechanics: Theory and Experiment, 2006 (6) P06011, P06011-1-P06011-19. doi: 10.1088/1742-5468/2006/06/P06011 |
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2006 Journal Article Unitary R-matrices for topological quantum computingBurton, P. J. and Gould, M. D. (2006). Unitary R-matrices for topological quantum computing. Reports on Mathematical Physics, 57 (1), 89-96. doi: 10.1016/S0034-4877(06)80010-8 |
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2006 Journal Article Generalized Perk-Schultz models: solutions of the Yang-Baxter equation associated with quantized orthosymplectic superalgebrasMehta, M., Dancer, K. A., Gould, M. D. and Links, J. R. (2006). Generalized Perk-Schultz models: solutions of the Yang-Baxter equation associated with quantized orthosymplectic superalgebras. Journal of Physics A: Mathematical and General, 39 (1), L17-L26. doi: 10.1088/0305-4470/39/1/L03 |
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2005 Journal Article Eigenvalues of Casimir invariants for Uq[osp(m|n)]Dancer, K. A., Gould, M. D. and Links, J. R. (2005). Eigenvalues of Casimir invariants for Uq[osp(m|n)]. Journal of Mathematical Physics, 46 (12) 123501, 123501-1-123501-20. doi: 10.1063/1.2137712 |
