Publications

 

  1. “Integrable electron model with correlated hopping and quantum supersymmetry,” M.D. Gould, K.E. Hibberd, J.R. Links, Y.-Z. Zhang, Phys. Lett. A 212 (1996) 156.  (Citations 47)

 

  1. “Comment on ‘A new integrable two-parameter model of strongly correlated electrons in one dimension,’” K. E. Hibberd, Europhys. Lett. 34 (8), (1996) 635. (Citations 1)

 

  1.  “Algebraic Bethe ansatz for the supersymmetric U model,” K.E. Hibberd, M.D.cGould, J.R. Links, Phys. Rev. B 54 (1996) 8430.  (Citations 16)

 

  1. “Algebraic Bethe ansatz for the anisotropic supersymmetric U model,” K.E.cHibberd, J.R. Links, M.D. Gould, J. Phys. A:  Math. Gen. 29, (1996) 8053.  (Citations 3)

 

  1. “Off-diagonal long-range order in an integrable model of correlated electrons,” J.R. Links, A. Foerster, K.E. Hibberd, Eur. Phys. J. B 5 (1998) 309.

 

  1. “Inhomogeneous scalar field solutions and inflation,” S.E. Perez Bergliaffa, K.E. Hibberd, Int. J. Mod. Phys. D 8 (1999) 705. (Citations 3)

 

  1. “Bethe ansatz solution of a closed anisotropic supersymmetric U model with quantum supersymmetry,” K.E. Hibberd, I. Roditi, J.R. Links, A. Foerster, Mod. Phys. Lett. A 15 (2000) 133.  (Citations 2)

 

  1. “Integrable open supersymmetric U model with boundary impurity,” A. Foerster, K.E. Hibberd, J.R. Links, I. Roditi, Phys. Lett. A 271 (2000) 198.  (Citations 1)

 

  1. “Electromagnetic waves in a wormhole geometry,” S. E. Perez Bergliaffa and K.E. Hibberd, Phys. Rev. D 62 (2000) 044045.  (Citations 10)

 

  1. “Quantum spin ladder systems associated with su(2|2),” A. Foerster, K.E.cHibberd, J.R. Links,  I. Roditi,  J. Phys. A:  Math. Gen. 34 (2001) L25.  (Citations 9)

 

  1. “Integrable coupling in a model for Josephson tunneling between non-identical BCS systems,” J. Links, K.E. Hibberd, Int. J. Mod. Phys. B 16 (2002) 2009. (Citations 4)

 

  1. “Integrable generalised spin ladder models based on the SU(1|3) and SU(3|1) algebras,” A. Prestes Tonel, A. Foerster, K. Hibberd and J. Links, J.cMath. Phys. 44 (2003) 6032. 

 

  1. “Analysis of static and spherically-symmetric solutions in NDL theory of gravitation,” M. Novello, S.E. Perez Bergliaffa, K.E. Hibberd, Int. J. Mod. Phys. D 13 (2004) 527.  (Citation 1)

 

  1.  “Wave Equation for Sound in Fluids with Vorticity,” S.E. Perez Bergliaffa, K. Hibberd, M. Stone, M. Visser, Physica D 191 (2004) 121.  (Citations 13)

 

  1.  “A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons,” K.E. Hibberd, C. Dunning, J. Links, Nucl. Phys. B 748 (2006) 458.  (Citations 2)

 

  1. “On quantum phase crossovers in finite systems,” C. Dunning, K.E. Hibberd and J. Links, J. Stat. Mech. (2006) P11005.  (Citations 2)

 

  1. “Bethe ansatz solutions of the Bose-Hubbard Dimer,” Jon Links, Katrina E. Hibberd, SIGMA, Vol. 2 (2006) 095. 

 

  1.  “Some spectral equivalences between Schrödinger operators,” by C. Dunning, K.E. Hibberd and J. Links.  To appear in J. Phys. A: Math. Theor. Vol. 41 (2008) 315211.

 

Citation count: http://portal.isiknowledge.com and http://www.slac.stanford.edu/spires

 

 

Preprints

 

  1. “On the stress-energy tensor of a rotating wormhole,” S.E. Perez Bergliaffa and K.E. Hibberd, gr-qc/0006041. (Citations 6)

 

  1. “Scattering theories for the 1D Hubbard model,” J.M.P. Carmelo, K.E. Hibberd, N. Andrei, cond-mat/0603446. 

 

  1. “Exact solutions of nonlinear bosonic models,” K.E. Hibberd, J. Links in preparation.

 

  1. “Ladder systems from supersymmetric group solutions,” K.E. Hibberd, I. Roditi in preparation.

 

Conference Proceedings

 

  1. “The supersymmetric U model and Bethe ansatz equations,” K.E. Hibberd, M.D. Gould, J.R. Links, Group 21: Physical applications and mathematical aspects of geometry, groups and algebras. Vol. 2 Eds. H.-D. Doebner, W. Scherer, C. Schulte (World Scientific Publishing, Singapore) (1997) 1042.

 

  1. “Uq[gl(2|1)] and the anisotropic supersymmetric U model,”  K.E. Hibberd, M.D. Gould, J.R. Links, Group 22: Proceedings of the XXII International Colloquium on Group Theoretical Methods in Physics, Eds. S.P. Corney, R. Delbourgo and P.D. Jarvis (Cambridge, MA: International Press) (1999) 266.

 

  1. “The closed anisotropic supersymmetric U model with quantum supersymmetry,” K.E. Hibberd, I. Roditi, J.R. Links, A. Foerster, in the proceedings of the Sixth International Wigner Symposium, Ed. Engin Arik (Bogazici University Press, Istanbul) (2002) 811. 

 

  1. “Integrability and exact solution of an electronic model with long range interactions,”   K.E. Hibberd, J. Links, Group 24: Physical and Mathematical Aspects of Symmetries, Insitute of Physics Conference Series 173, Eds. J.-P. Gazeau, R. Kerner, J.-P. Antoine, S. Metens and J. –Y. Thibon (2003) 725.

 

  1. “Enhancing the student experience in mathematics through the use of a group project,” S.R. Worsley, K.E. Hibberd, B.M. Maenhaut, 8th Biennial Engineering Mathematics & Applications Conference proceedings, to appear in ANZIAM Journal Vol. 49 (2007).

 

 

Conference Participation

 

  1. XIInd International Congress of Mathematical Physics, Brisbane, Australia, July 1997.  Title of Poster: “The anisotropic supersymmetric U model and Bethe ansatz equations.”

 

  1. Workshop on Statistical Mechanics and Integrable Systems, Coolangatta and Canberra, Australia, July 1997.  Title of Seminar and Poster: “The anisotropic supersymmetric U model and Bethe ansatz equations.”

 

  1. Sixth International Wigner Symposium, Istanbul, Turkey, Aug 2001.  Title of Poster: “Boundary impurity for the supersymmetric U model,” A. Foerster, K.E. Hibberd, J.R. Links, I. Roditi.

 

  1. Analog models for General Relativity, CBPF, Rio de Janeiro, Brazil, October 2000.

 

  1. Advanced seminar on field theoretical methods in condensed matter physics, Sant Feliu de Guixols, Spain, June 2001. Title of Poster: “Quantum spin ladder systems associated to SU(2|2), SU(1|3) and SU(3|1).”

 

  1. International Conference on Theoretical Physics, Paris, France, July 2002.  Title of Poster:  “Integrable coupling in a model for Josephson tunneling between non-identical BCS systems.”

 

  1. Recent Advances in the Theory of Quantum Integrable Systems, International Workshop, Annecy, France, March 2003. Title of Poster: “An Integrable electronic model with long range interactions containing free parameters.”

 

  1. Spin and Charge Transport in Nanostructures, Euroconference, University of Minho, Portugal, September 2003. 

 

  1. AMSI Workshop: Foundations and Methodologies of Mathematical Physics, and Modern Developments in Lie Theory, Quantum Theory and Statistical Mechanics, Coolangatta, Australia, December 2004.

 

  1. Workshop on Mathematical Aspects of Quantum Information Science (MAQIS), The University of Queensland, January 2005.

 

  1. Quantum Field Theory and its Ramifications, University of Tasmania, November 2005.  Title of seminar:  “Exact solutions of a model for fermionic atomic-molecular condensates.”

 

  1. International Congress on Mathematical Physics, Rio de Janeiro, Brazil, August 2006.  Title of Poster: “Quantum phase crossovers in finite systems.”

 

  1. From Statistical Mechanics to Conformal and Quantum Field Theory, Melbourne, Australia, January 2007.  Title of Seminar: “An exact solution for a model of Cooper pairs and condensed molecular bosons.”

 

  1. 18th International Conference on General Relativity and Gravitation, Sydney, July 2007.

 

  1. First Year in Higher Education Conference, QUT, July 2007.  Title of Poster: “A group poster project for first year mathematics students”.   Workshops attended: “How to design a first year module” and “Sharing responsibility for engaging first year students.”

 

  1. Spaces and Places for Learning, Carrick Institute Workshop, Brisbane, September 2007.

 

  1. Mining 2008 Resources Convention, Brisbane, October 2008.

 

  1. Workshop on Mathematical Physics, Coolangatta, February 2009.