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McNabb, A, Suzuki, M and Bracken, AJ (2001) A flux ratio theorem for multicomponent linear diffusion equations. Applied Mathematics Letters, 14 1: 123-129. doi:10.1016/S0893-9659(00)00123-3 75   0 0
Bracken, Anthony J., Ge, Xiang-Yu, Gould, Mark D., Links, Jon and Zhou, Huan-Qiang (2001) Algebraic Bethe ansatz for integrable extended Hubbard models arising from supersymmetric group solutions. Journal of Physics A-mathematical And General, 34 21: 4459-4474. doi:10.1088/0305-4470/34/21/304 58   4 Cited 4 times in Scopus4 0
Mollee, T. R. and Bracken, A. J. (2007) A model of solute transport through stratum corneum using solute capture and release. Bulletin of Mathematical Biology, 69 6: 1887-1907. doi:10.1007/s11538-007-9197-x 70   8 Cited 9 times in Scopus9 1
Bracken, AJ, Ge, XY, Zhang, YZ and Zhou, HQ (1998) An open-boundary integrable model of three coupled XY spin chains. Nuclear Physics B, 516 3: 603-622. doi:10.1016/S0550-3213(98)00066-2 53   10 0
Bracken, A. J., Bass, L. and Rogers, C. (2012) Backlund flux quantization in a model of electrodiffusion based on PainlevĂ© II. Journal of Physics A: Mathematical and Theoretical, 45 10: . doi:10.1088/1751-8113/45/10/105204 37   4 Cited 5 times in Scopus5 0
Bracken, A. J., Ge, X. Y., Zhang, Y. Z. and Zhou, H. Q. (1999) Boundary two-parameter eight-state supersymmetric Fermion model and Bethe Ansatz solution. Bulletin of the Australian Mathematical Society, 59 3: 375-390. 85   1
Bracken, A. J., Doebner, H. and Wood, J. G. (1999) Bounds on integrals of the Wigner function. Physical Review Letters, 83 19: 3758-3761. doi:10.1103/PhysRevLett.83.3758 50   19 0
Wood, J. G and Bracken, A. J. (2005) Bounds on integrals of the Wigner function: The hyperbolic case. Journal of Mathematical Physics, 46 4: 1-14. doi:10.1063/1.1851971 47   1 Cited 1 times in Scopus1 0
Anissimov, Yuri G., Bracken, Anthony J. and Roberts, Michael S. (2002) Catheter effects in organ perfusion experiments. Journal of Theoretical Biology, 214 2: 263-273. doi:10.1006/jtbi.2001.2450 41   2 Cited 2 times in Scopus2 0
Bracken, A.J. (2006) Complex numbers and symmetries in quantum mechanics, and a nonlinear superposition principle for Wigner functions. Reports On Mathematical Physics, 57 1: 17-26. doi:10.1016/S0034-4877(06)80005-4 144   5 Cited 5 times in Scopus5 0
Ellinas, D., Bracken, A. J. and Smyrnakis, I. (2012) Discrete randomness in discrete time quantum walk: study via stochastic averaging. Reports On Mathematical Physics, 70 2: 221-227. doi:10.1016/S0034-4877(12)60041-X 19   0 Cited 0 times in Scopus0 0
Bass, L. and Bracken, A. J. (2014) Emergent behaviour in electrodiffusion: Planck's other quanta. Reports On Mathematical Physics, 73 1: 65-75. doi:10.1016/S0034-4877(14)60032-X 14   0 0
Bracken, A. J. (2004) Entangled subspaces and quantum symmetries. Physical Review A, 69 5: 052331-1-052331-7. doi:10.1103/PhysRevA.69.052331 43   2 Cited 1 times in Scopus1 0
Bracken, A. J., Ellinas, D. and Smyrnakis, I. (2007) Free-Dirac-particle evolution as a quantum random walk. Physical Review A: Atomic, Molecular, and Optical Physics, 75 2: 022322-1-022322-7. doi:10.1103/PhysRevA.75.022322 68 3 20 Cited 14 times in Scopus14 0
Bracken, Anthony J., Ellinas, Demosthenes and Wood, James G. (2003) Group theory and quasiprobability integrals of Wigner functions. Journal of Physics A-mathematical And General, 36 20: L297-L305. doi:10.1088/0305-4470/36/20/102 62   8 Cited 6 times in Scopus6 0
Bracken, AJ, Gould, MD, Zhang, YZ and Delius, GW (1994) Infinite Families of Gauge-Equivalent R-Matrices and Gradations of Quantized Affine Algebras. International Journal of Modern Physics B, 8 25-26: 3679-3691. doi:10.1142/S0217979294001585 34   12 0
Bracken, A. J., Ge, X. Y., Gould, M. D. and Zhou, H. Q. (2001) Integrable extended hubbard models with boundary Kondo impurities. Bulletin of The Australian Mathematical Society, 64 3: 445-467. 60   0
Bracken, AJ, Ge, XY, Zhang, YZ and Zhou, HQ (1998) Integrable open-boundary conditions for the q-deformed supersymmetric U model of strongly correlated electrons. Nuclear Physics B, 516 3: 588-602. doi:10.1016/S0550-3213(98)00067-4 49   40 0
Anissimov, YG, Bracken, AJ and Roberts, MS (1997) Interconnected-tubes model of hepatic elimination. Journal of Theoretical Biology, 188 1: 89-101. doi:10.1006/jtbi.1997.0455 253   15 Cited 15 times in Scopus15 0
Anissimov, YG, Bracken, AJ and Roberts, MS (1999) Interconnected-Tubes model of hepatic elimination: Steady-state considerations. Journal of Theoretical Biology, 199 4: 435-447. doi:10.1006/jtbi.1999.0970 245   3 Cited 4 times in Scopus4 0
Worsley, Susan, Bracken, Anthony, Hibberd, Katrina and Isaac, Phillip (2009). Introducing a group research project into a second-level mathematics course. In: 2009 Conference Proceedings. UniServe Science Conference 2009, Sydney, NSW, Australia, (125-131). 30 September - 2 October 2009. 175  
Bracken, A. J. and Melloy, G. F. (1999) Localizing the relativistic electron. Journal of Physics A: Mathematical and General, 32 34: 6127-6139. doi:10.1088/0305-4470/32/34/302 36   11 Cited 11 times in Scopus11 0
Mellick, GD, Anissimov, YG, Bracken, AJ and Roberts, MS (1997) Metabolite mean transit times in the liver as predicted by various models of hepatic elimination. Journal of Pharmacokinetics And Biopharmaceutics, 25 4: 477-505. doi:10.1023/A:1025797126763 64   4 Cited 6 times in Scopus6 0
Bracken, AJ, Gould, MD, Links, JR and Zhang, YZ (1995) New Supersymmetric and Exactly Solvable Model of Correlated Electrons. Physical Review Letters, 74 14: 2768-2771. doi:10.1103/PhysRevLett.74.2768 36   133 Cited 123 times in Scopus123 0
Bracken, A. J. and Wood, J. G. (2004) Non-positivity of Groenewold operators. Europhysics Letters, 68 1: 1-7. doi:10.1209/epl/i2004-10175-8 36   8 Cited 6 times in Scopus6 0
Shapira, D., Biham, O., Bracken, A. J. and Hackett, M. (2003) One-dimensional quantum walk with unitary noise. Physical Review A, 68 6: 062315. doi:10.1103/PhysRevA.68.062315 78   31 Cited 30 times in Scopus30 0
Ellinas, D. and Bracken, A. J. (2008) Phase-space-region operators and the Wigner function: Geometric constructions and tomography. Physical Review A, 78 5: 052106-1-052106-9. doi:10.1103/PhysRevA.78.052106 68 3 11 Cited 8 times in Scopus8 0
Watson, P. and Bracken, A. J. (2011) Phase-space spinor amplitudes for spin-1/2 systems. Physical Review A, 83 4: 042102.1-042102.8. doi:10.1103/PhysRevA.83.042102 24 17 1 Cited 1 times in Scopus1 0
Melloy, GF and Bracken, AJ (1998) Probability backflow for a Dirac particle. Foundations of Physics, 28 3: 505-514. doi:10.1023/A:1018724313788 52   5 0
Bracken, A. J., Ellinas, D. and Tsohantjis, I. (2004) Pseudo memory effects, majorization and entropy in quantum random walks. Journal of Physics A-mathematical And General, 37 8: L91-L97. doi:10.1088/0305-4470/37/8/L02 71   16 Cited 14 times in Scopus14 0
Bracken, AJ, Gould, MD and Zhang, YZ (1995) Quantized Affine Algebras and Parameter-Dependent R-Matrices. Bulletin of the Australian Mathematical Society, 51 2: 177-194. 32   9
Bracken, A. J. (2003) Quantum mechanics as an approximation to classical mechanics in Hilbert space. Journal of Physics A: Mathematical and General, 36 23: L329-L335. doi:10.1088/0305-4470/36/23/101 101   14 Cited 15 times in Scopus15 3
Watson, P. and Bracken, A. J. (2014) Quantum Phase Space from Schwinger's Measurement Algebra. Foundations of Physics, 44 7: 762-780. doi:10.1007/s10701-014-9813-1 16   0 Cited 0 times in Scopus0 0
Bracken, A. J., Cassinelli, G. and Wood, J. G. (2003) Quantum symmetries and the Weyl–Wigner product of group representations. Journal of Physics A: Mathematical and General, 36 4: 1033-1056. doi:10.1088/0305-4470/36/4/313 71   8 Cited 8 times in Scopus8 0
Bracken, A. J. and Wood, J. G. (2006) Semiquantum versus semiclassical mechanics for simple nonlinear systems. Physical Review A, 73 1: 012104-1-012104-10. doi:10.1103/PhysRevA.73.012104 53 3 8 Cited 9 times in Scopus9 3
Bracken, AJ, Gould, MD, Zhang, YZ and Delius, GW (1994) Solutions of the Quantum Yang-Baxter Equation with Extra Nonadditive Parameters. Journal of Physics A-Mathematical and General, 27 19: 6551-6561. doi:10.1088/0305-4470/27/19/025 21   47 Cited 46 times in Scopus46 0
Bracken, A. J. and Watson, P. (2010) The quantum state vector in phase space and Gabor's windowed Fourier transform. Journal of Physics A: Mathematical and Theoretical, 43 39: 395304-1-395304-19. doi:10.1088/1751-8113/43/39/395304 43   5 Cited 6 times in Scopus6 0
Melloy, GF and Bracken, AJ (1998) The velocity of probability transport in quantum mechanics. Annalen Der Physik, 7 7-8: 726-731. doi:10.1002/(SICI)1521-3889(199812)7:7/8<726::AID-ANDP726>3.0.CO;2-P 53   6 0
Bracken, A.J., Flohr, J.A. and Melloy, G.F. (2005) Time-evolution of highly localized positive-energy states of the free Dirac electron. Proceedings of The Royal Society A-mathematical Physical And Engineering Sciences, 461 2063: 3633-3645. doi:10.1098/rspa.2005.1538 44   4 Cited 4 times in Scopus4 0
Bracken, A. J. and Melloy, G. F. (2014) Waiting for the quantum bus: the flow of negative probability. Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics, 48 PA: 13-19. doi:10.1016/j.shpsb.2014.09.001 12   0 Cited 0 times in Scopus0 0