Dr Katrina Hibberd
Honorary Senior Lecturer
Honorary Senior Lecturer
Mathematics
Journal Articles
Mellor, Vincent A. and Hibberd, Katrina E. (2018). Correction to metamagnetic conditions of the Union Jack lattice Ising model. International Journal of Modern Physics C, 29 (8) 1850063, 1850063. doi: 10.1142/S0129183118500638
Dunning, C., Hibberd, K. E. and Links, J. R. (2008). Some spectral equivalences between Schrödinger operators. Journal of Physics A: Mathematical and Theoretical, 41 (31) 315211, 315211-1-315211-12. doi: 10.1088/1751-8113/41/31/315211
Dunning, Clare, Hibberd, Katrina E. and Links, Jon (2006). On quantum phase crossovers in finite systems. Journal of Statistical Mechanics: Theory and Experiment, 2006 (11) P11005, 1-11. doi: 10.1088/1742-5468/2006/11/P11005
Hibberd, K. E., Dunning, C. and Links, J. (2006). A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons. Nuclear Physics B, 748 (3), 458-472. doi: 10.1016/j.nuclphysb.2006.04.026
Links, Jon and Hibberd , Katrina E. (2006). Bethe ansatz solutions of the Bose-Hubbard Dimer. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2 (95), 1-8. doi: 10.3842/SIGMA.2006.095
Perez Bergliaffa, Santiago Esteban, Hibberd, Katrina E., Stone, Michael and Visser, Matt (2004). Wave equation for sound in fluids with vorticity. Physica D: Nonlinear Phenomena, 191 (1-2), 121-136. doi: 10.1016/j.physd.2003.11.007
Novello, M., Perez Bergliaffa, S. E. and Hibberd, K. E. (2004). Analysis of the static and spherically-symmetric solution in NDL theory of gravitation. International Journal of Modern Physics D, 13 (3), 527-537. doi: 10.1142/S0218271804004608
Tonel, A. P., Foerster, A., Hibberd, K. and Links, J. (2003). Integrable generalized spin ladder models based on the SU(1|3) and SU(3|1) algebras. Journal of Mathematical Physics, 44 (12), 6032-6039. doi: 10.1063/1.1627973
Links, J. R. and Hibberd, K. E. (2002). Integrable coupling in a model for Josephson tunneling between non-identical BCS systems. International Journal of Modern Physics B, 16 (14 & 15), 2009-2015. doi: 10.1142/S0217979202011743
Foerster, A., Hibberd, K. E., Links, J. R. and Roditi, I. (2001). Quantum spin ladder systems associated with su(2 vertical bar 2). Journal of Physics A-mathematical And General, 34 (5), L25-L29. doi: 10.1088/0305-4470/34/5/102
Perez Bergliaffa, S. E. and Hibberd, K. E. (2000). Electromagnetic waves in a wormhole geometry. Physical Review D, 62, 044045-1-044045-5. doi: 10.1103/PhysRevD.62.044045
Foerster, A, Hibberd, KE, Links, JR and Roditi, I (2000). Integrable open supersymmetric U model with boundary impurity. Physics Letters A, 271 (3), 198-206. doi: 10.1016/S0375-9601(00)00357-1
Hibberd, K, Roditi, I, Links, J and Foerster, A (2000). Bethe ansatz solution of the closed anisotropic supersymmetric U model with quantum supersymmetry. Modern Physics Letters A, 15 (2), 133-143. doi: 10.1142/S021773230000013X
Links, J, Hibberd, K, Gould, M and Foerster, A (1998). Off-diagonal long-range order in a supersymmetric integrable model of correlated electrons. European Physical Journal B, 5 (3), 309-312. doi: 10.1007/s100510050447
Gould, Mark D., Hibberd, Katrina E., Links, Jon R. and Zhang, Yao-Zhong (1996). Integrable electron model with correlated hopping and quantum supersymmetry. Physics letters A, 212 (3), 156-160. doi: 10.1016/0375-9601(96)00042-4
Hibberd, K. E., Gould, M. D. and Links, J. R. (1996). Algebraic Bethe ansatz for the supersymmetric U model. Physical Review B: Condensed Matter and Materials Physics, 54 (12), 8430-8437. doi: 10.1103/PhysRevB.54.8430
Hibberd, K. E. (1996). Comment on: A new integrable two-parameter model of strongly correlated electrons in one dimension. Europhysics Letters, 34 (8), 635-636. doi: 10.1209/epl/i1996-00507-2
Hibberd, KE, Gould, MD and Links, JR (1996). Algebraic Bethe ansatz for the anisotropic supersymmetric U model. Journal of Physics A-mathematical And General, 29 (24), 8053-8065. doi: 10.1088/0305-4470/29/24/028
Conference Papers
Worsley, Susan, Bracken, Anthony, Hibberd, Katrina and Isaac, Phillip (2009). Introducing a group research project into a second-level mathematics course. UniServe Science Conference 2009, Sydney, NSW, Australia, 30 September - 2 October 2009. Sydney, NSW, Australia: UniServe Science.
Worsley, S. R., Hibberd, K. E. and Maenhaut, B. M. (2007). Enhancing the student experience in mathematics through the use of a group project. EMAC 2007: 8th Biennial Engineering Mathematics and Applications Conference, Hobart, TAS, Australia, 1-4 July, 2007. Cambridge, United Kingdom: Cambridge University Press. doi: 10.0000/anziamj.v49i0.371
Hibberd, KE and Links, JR (2003). Integrability and exact solution of an electronic model with long range interactions. Bristol: Iop Publishing Ltd.