Professor Tony Bracken's Homepage
- Email: a.bracken@uq.edu.au
- Phone: (07) 3365 3278
- Fax: (07) 3365 1477
Research Interests
Mathematical Physics
Symmetries in relativistic and
nonrelativistic quantum mechanics
Relativistic wave equations
Localization of
relativistic particles
Semiquantum mechanics
Quantum random walks
Subspace entanglement
Biomathematics
Modelling liver pharmacokinetics
Flux-ratio theorems in membrane transport
Deterministic
modelling of urban growth.
Modelling drug-delivery through the skin
Chapters from Michelle Hackett's 2001 Honours Thesis "Classical Randomness in a
Quantum Walk on a Line" can be found
here.
Chapters from James Wood's 1997 Honours Thesis "Asymptotic Localisation of Neutrinos
in Relativistic Quantum Mechanics" can be found
here.
Some lectures on
quantum mechanics in phase space given at SMFT07, Melbourne, 2007, can be found here:
Lecture 1,
Lecture 2,
Lecture 3.
A PowerPoint presentation (5.2Mb) given to a general audience while a Fellow of
the Hungarian Institute for Advanced Studies "Collegium Budapest" in 2007-8,
can be found here:
From Guido d'Arezzo to Wigner of Budapest:
The Uncertainty Principle and Musical Notation.
A list of some recent publications can be found
here.
Some papers on the quantum paradox of probability
backflow:--
A.J. Bracken and G.F. Melloy, 1994.
"Probability backflow and a new dimensionless quantum number."
G.F. Melloy and A.J. Bracken, 1998.
"Probability backflow for a Dirac particle."
Some older publications:--
A.J. Bracken and H.A. Cohen, 1969.
"On Canonical SO(4,1)transformations of the Dirac equation."
A.J. Bracken and H.S. Green, 1971.
"Vector operators and a polynomial identity for SO(n)."
A.J. Bracken and H.S. Green, 1973.
"Parastatistics and the quark model."
L. Bass and A.J. Bracken, 1977.
"Time-dependent elimination of substrates flowing through the liver or
kidney."
A.J. Bracken, 1978.
"Point form of quantum dynamics and a four-vector coordinate operator for
a spinless particle."
L. Bass, P.J. Robinson and A.J. Bracken, 1978.
"Hepatic elimination of flowing substrates: the distributed model."
A.J. Bracken and H.I. Leemon, 1980.
"The isotropic harmonic oscillator in an angular momentum basis: an
algebraic formulation."
A.J. Bracken and H.I. Leemon, 1981.
"A new set of coherent states for the isotropic harmonic oscillator:
coherent angular momentum states."
A.O. Barut and A.J. Bracken, 1981.
"Zitterbewegung and the internal geometry of the electron."
A.J. Bracken and Barry Jessup, 1982.
"Local conformal-invariance of the wave equation for finite-component
fields I."
A.J. Bracken and Barry Jessup, 1982.
"Local conformal-invariance of the wave equation for finite-component
fields II."
L. Bass, J. Aisbett and A.J. Bracken, 1984.
"Asymptotic forms of tracer clearance curves."
A.O. Barut and A.J. Bracken, 1985.
"Compact quantum systems: internal geometry of relativistic systems."
A.O. Barut and A.J. Bracken, 1985.
"Neutral Dirac
particle coupled to a fixed monopole."
L.Bass, A.J. Bracken and J. Hilden, 1986.
"Flux ratio theorems for membrane transport with temporary capture of
tracer."
Y.G. Anissimov, A.J. Bracken and M.S.
Roberts, 1997.
"Interconnected-tubes model of hepatic elimination."
Y.G. Anissimov, A.J. Bracken and M.S.
Roberts, 1999.
"Interconnected-tubes model of hepatic elimination: steady state
considerations."
Y.G. Anissimov, A.J. Bracken and M.S.
Roberts, 2002.
"Catheter effects in organ perfusion experiments."