Professional  Publications


Sole Author Publications in International Journals
    D.S. McAnally,
      q-Exponential Functions and q-Gamma Functions.
      I. q-Exponential Functions, J. Math. Phys. 36 546-573 (1995)

    D.S. McAnally,
      q-Exponential Functions and q-Gamma Functions.
      II. q-Gamma Functions, J. Math. Phys. 36 574-595 (1995)

    D.S. McAnally,
      Colour Lie Algebras and R-Matrices,
      Lett. Math. Phys. 33 249-254 (1995)

Joint Publications in International Journals
    L. Bass and D.S. McAnally,
      The Ratio of Nonstationary Tracer Fluxes Into and Out of a
      Hollow Circular Cylinder, J. Membrane Biology, 81 263-263
      (1984)

    A.J. Bracken, D.S. McAnally and O.A. Òdúndún,
      Coherent angular momentum states for the two-dimensional
      oscillator, J. Math. Phys. 28 397-403 (1987)

    D.S. McAnally and A.J. Bracken,
      Time dependence of variables in the quantum-mechanical and
      classical Coulomb problems, and the dynamical algebra so(4,2),
      Phys. Rev. A 37 2304-2308 (1988)

    D.S. McAnally and A.J. Bracken,
      Quasiclassical States of the Coulomb System and so(4,2),
      J. Phys. A 23, 2027-2047 (1990)

    A.J. Bracken, D.S. McAnally, R.B. Zhang and M.D. Gould,
      A q-analogue of Bargmann Space and its Scalar Product,
      J. Phys. A 24 1379-1391 (1991)

    P.D. Jarvis and D.S. McAnally,
      Unified Models from Gauged Supergroups. II Exceptional Series
      D(2,1;a), G(3), F(4).,  J. Math. Phys. 33 399-402 (1992)

    P.D. Jarvis and D.S. McAnally,
      Unified Models from Gauged Supergroups. III A New Homogeneous
      Superspace, J. Math. Phys. 33 4267-4273 (1992)

    D. S. McAnally and I. Tsohantjis,
      Deformed boson algebras and the quantum double construction,
      J. Phys. A 30 651-659 (1997)

    R. Delbourgo, D. Elliot and D.S. McAnally,
      Dimensional renormalization in f³ theory: ladders and
      rainbows,  Phys. Rev. D 55 5230-5233 (1997)

    P.J. Forrester, B. Jancovici and D.S. McAnally,
      Analytic properties for the structure function for the log-gas,
      cond-mat/0002060, J. Stat. Phys. 102 737-7800 (2001)

Publications in Australian Journals
    D.S. McAnally and A.J. Bracken,
      Uncolouring of Lie Colour Algebras, Bulletin Australian
      Math. Soc. 55 425-452 (1997)

Sole Conference Presentations and Publications in Proceedings
    D.S. McAnally,
      q-Exponential Functions and q-Gamma Functions, Conference
      Presentation, "Confronting the Infinite", Adelaide,
      February 1994

    D.S. McAnally,
      q-Exponential Functions and q-Gamma Functions, in Proceedings
      of the Mathematical Physics Conference, "Confronting the
      Infinite" (Adelaide, February 1994), 246-253, World Scientific,
      Singapore, 1995

    D.S. McAnally,
      Uncoloring the Color Yang-Baxter Equation, Conference
      Presentation, Yamada Conference, XXth Int. Coll. Group
      Theoretical Methods in Physics, Toyonaka, July, 1994

    D.S. McAnally,
      Uncoloring the Color Yang-Baxter Equation, in Proc. XXth
      Int. Coll. Group Theoretical Methods in Physics, 339-343,
      World Scientific, Singapore, 1995

    D.S. McAnally,
      Some Comments on the Unusual World of Quaternion Quantum
      Mechanics, Conference Presentation, Conference on Statistical
      Mechanics and Mathematical Physics, Melbourne, November, 1994

    D.S. McAnally,
      Algebraic Structures and New Solutions of the Yang-Baxter
      Equation, Conference Presentation, 22nd Int. Coll. Group
      Theoretical Methods in Physics, Hobart, July, 1998

    D.S. McAnally,
      Algebraic Structures and New Solutions of the Yang--Baxter
      Equation, in Proc. XXII Int. Coll. Group Theoretical Methods
      in Physics, 428-432, International Press Inc., Boston, 1999

    D.S. McAnally,
      Some New Evaluation Formulae for Heckman-Opdam Polynomials,
      Conference on Statistical Mechanics, Melbourne, November, 2000

    D.S. McAnally,
      Some New Evaluation Formulae for Heckman-Opdam Polynomials,
      Lie2000 Conference, Adelaide, December, 2000

Joint Conference Presentations and Publications in Proceedings
    A.J. Bracken and D.S. McAnally,
      Heisenberg Equations of Motion for the Coulomb problem and
      so(4,2), Conference Presentation (by A.J. Bracken), 16th Int.
      Coll. Group Theoretical Methods in Physics, Varna, Bulgaria,
      1986

    A.J. Bracken and D.S. McAnally,
      Heisenberg Equations of Motion for the Coulomb problem and
      so(4,2) in Proc. 16th Int. Coll. Group Theoretical Methods
      in Physics, Lec. Notes Phys. 313, 223-229 (1988)

    Paul P. Martin and David S. McAnally,
      On Commutants, Dual Pairs and Non-Semisimple Algebras in
      Statistical Mechanics (RIMS Preprint 819), Proceedings
      RIMS91 project 'Infinite Analysis', Jun 1 - Aug 31, 1991,
      contributed paper # 36, 675-706

    P.D. Jarvis and D.S. McAnally,
      Generalized Characteristic Identities and Applications,
      Conference Presentation (by P.D. Jarvis), "Confronting
      the Infinite", Adelaide, February 1994

    P.D. Jarvis and D.S. McAnally,
      Generalized Characeristic Identities and Applications,
      in Proceedings of the Mathematical Physics Conference,
      "Confronting the Infinite" (Adelaide, February 1994),
      215-224, World Scientific, Singapore, 1995

    T.H. Baker, P.D. Jarvis, D.S. McAnally and C.M. Yung,
      Symmetric Functions, Vertex Operators and Applications,
      Conference Presentation (by P.D. Jarvis), Yamada Conference,
      XXth Int. Coll. Group Theoretical Methods in Physics,
      Toyonaka, July, 1994

    T.H. Baker, P.D. Jarvis, D.S. McAnally and C.M. Yung,
      Symmetric Functions, Vertex Operators and Applications, in
      Proc. XXth Int. Coll. Group Theoretical Methods in Physics,
      254-258, World Scientific, Singapore, 1995

    Stuart Corney, P.D. Jarvis and D.S. McAnally,
      The D(2,1;a) particle, Conference Presentation (by Stuart
      Corney), 22nd Int. Coll. Group Theoretical Methods in Physics,
      Hobart, July, 1998

    S.P. Corney, P.D. Jarvis and D.S. McAnally,
      The D(2,1;a) particle, in Proc. XXII Int. Coll. Group
      Theoretical Methods in Physics, 290--294, International Press
      Inc., Boston, 1999

Papers in Preparation and yet to be Published
    D.S. McAnally,
      A Refinement of Shor's Algorithm,
      quant-ph/0112055, submitted to J. Phys. A

    P.J. Forrester and D.S. McAnally,
      Pieri-type formulas for non-symmetric Jack polynomials,
      math.QA/0006006, submitted to Comm. Math. Helv.

    P.J. Forrester, D.S. McAnally and Y. Nikoyalevsky,
      On the evaluation formula for Jack polynomials with prescribed
      symmetry (in preparation)

    Dongsheng Liu, Jamil Daboul and David McAnally,
      Symmetries of the pseudo-diffusion equation (in preparation)

    D.S. McAnally,
      On the Impossibility of Determining a State for a Joint System
      in Quaternion Quantum Mechanics (in preparation)

    D.S. McAnally,
      Complex Quantum Mechanics and Temporal Signature (in preparation)

    David McAnally and Audun Josang, Addition and Subtraction of Beliefs,
      submitted to IPMU 2004 (Information Processing and Management of
      Uncertainty in Knowledge-Based Systems), July 4-9, 2004, Perugia, Italy

    David McAnally and Audun Josang, Interpreting Belief Fuctions as 
      Probability Distributions, submitted to IPMU 2004 (Information
      Processing and Management of Uncertainty in Knowledge-Based Systems),
      July 4-9, 2004, Perugia, Italy

    David McAnally and Audun Josang, Equivalence Operators in Subjective 
      Logic (to be submitted)

    David McAnally and Audun Josang, Reverse Conditional Inference in 
      Subjective Logic (to be submitted)

    Audun Josang and David McAnally, Multiplication and Comultiplication
      of Beliefs (to be submitted)