# Dr Katrina Hibberd

Honorary Senior Lecturer

Honorary Senior Lecturer

School of Mathematics and Physics

### 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 SchrÃ¶dinger 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
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
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
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
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
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
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. (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, 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, 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.