Publications - Brian Davies
- (with L. M. Delves) "An exactly soluble two body problem with non-centralforces"
Australian Journal of Physics, 16 (1963) 311-313.
- "Smoothing of apparent attitude data" WRE Tech memo, TRD
66 (1963).
- (with R. H. Evans) "A method for the routine determination of Radar
refraction corrections" WRE Tech Note, TRD 13 (1965).
- "Matrix elements for a three nucleon system - I" Nuclear Physics,
73 (1966) 193-205.
- "Matrix elements for a three nucleon system - II" Nuclear
Physics, 79 (1966) 427-436.
- "Angular functions for a three nucleon system" Nuclear Physics,
88, (1966) 361-372.
- "The three nucleon problem with the Hamada potential" Nuclear
Physics, A103 (1967) 165-176.
- (with K. Okamoto) "A Note on the existence of the tri-neutron"
Physics Letters, B4 (1967) 18- 21.
- (with R.G. Storer) "Correlation function in a plasma at zero particle
separation" Physical Review, 171 (1968) 150-151.
- "Three body problem with the Hamada potential" Symposium on
light nuclei, the few body problem and nuclear forces, Gordon & Breach
(1969).
- (with J.M. Blatt, L.M. Delves, C. Pask) "Three nucleon calculations
with the Hamada Johnston potential" Physics Letters, B28 (1969)
472-475.
- (with H.A. Blevin and P.J. Christiansen) "Effects of electron cyclotron
resonance on elicon waves" Physics Letters, A28 (1969) 230-231.
- (with P.J. Christiansen) "Helicon waves in a gaseous plasma"
Plasma Physics, 11 (1969) 987-1000.
- "Alfven waves in a non-uniform resistive plasma" Physical
Review Letters, 22 (1969) 1236-1247.
- "Vacuum boundary conditions for helicon waves in a cylindrical plasma"
Journal of Physics, A2 (1969) 717-719.
- "Helicon waves, effect of electron inertia" Journal of Plasma
Phys, 4 (1970) 43-50.
- (with C. Butler, M. Jacquier & A.L. McCarthy) "The concept of
the atom" Heinmann Education (1970).
- "Extension of van Kampen et al's method of calculating van der Waals
forces to dissipative media" Physics Letters, A37 (1971) 391-392.
- (with R. Grimm and R.G. Storer) "Improvements on a new method for
the numerical solution of the Schr"odinger equation" Journal
of Chemical Physics, 9 (1972) 538-544.
- (with P. Richmond and B.W. Ninham) "van der Waal's attraction between
long conducting molecules" Physics Letters, A39 (1972) 301-302.
- (with B. W. Ninham) "van der Waal's forces in electrolytes" Journal
of Chemical Physics, 56 (1972) 5797-5801.
- (with P. Richmond) "Many body forces between long conducting molecules"
Molecular Physics, 24 (1972) 1165-1168.
- "Calculation of van der Waal's forces from dispersion relations"
Chemical Physics Letters, 16 (1972) 388-390.
- "Quantum Electromagnetic zero point energy of a conducting spherical
shell" Journal of Mathematical Physics, 13 (1972) 1324-1329.
- "Complex zeros of linear combinations of spherical Bessel functions
and their derivatives" SIAM Journal on Mathematical Analysis,
4 (1973) 128-133.
- (with B.W. Ninham and P. Richmond) "van der Waal's forces between
thin cylinders: new features due to conducting processes" Journal
of the Chemical Physics, 58 (1973) 744-750.
- "Lifshitz theory: exact or approximate statistical mechanics?"
Physics Letters, A48 (1974) 298-300.
- (with C.J. Barnes) "Statistical mechanics and Lifshitz theory for
electrolytes: I" Journal of the Chemical Society (Faraday Transactions
II), 71 (1975) 1667-1689.
- (with J.A. Hendry) "Variational methods and the indirect design of
channels" Proc. of the third national conference on Computational
Physics, Glasgow (1975).
- "Resonant interaction between excited atoms" Journal of Physics
B (Molecular Physics), 9 (1976) 887-896.
- (with D. Chan and P. Richmond) "Conformational properties of a polymer
confined between two absorbing surfaces" Journal of the Chemical Society
(Faraday Transactions II), 72 (1976) 1584-1602.
- (with J.A. Hendry) "The indirect design of fluid channels using a
global variational method with trial function not satisfying the prescribed
boundary conditions" Int. J. for Numerical Methods in Engineering,
11 (1977) 579-591.
- "Integral transforms and their applications" Springer-Verlag,
NY (volume 25, Applied Mathematical Sciences series, 411 pp).
- (with B. Martin) "Numerical inversion of Laplace transforms: a critical
review and appraisal" Journal of Computational Physics, 33 (1979)
1-32.
- (with A.N. Burkitt) "On the relationship between Quantum, Random and
Semiclassical Electrodynamics" Australian Journal of Physics,
33 (1980) 671-684.
- "Vented Speaker Systems - Principles of operation" Electronics
Australia 43(8) (1981), 88.
- "Vented Speaker Systems - Practical implementation" Electronics
Australia 43(9) (1981), 90.
- "Difficulties with the inverse scattering transform method in quantum
field theory" Journal of Physics A 14 (1981) 145-153.
- "Second quantization of the non-linear Schrdinger equation"
Journal of Physics A 14 (1981) 2631-2644.
- "A note on the Lamb shift" American Journal of Physics
50 (1982) 331-335.
- "Integral transforms and their applications" (translation) Hungarian
Academy of Sciences, Musaki.
- "Elementary theory of perihelion precession" American Journal
of Physics 51 (1983) 909-911.
- "The spectrum of resistive MHD equations" Physics Letters,
A100 (1984) 144-148.
- (with R.L. Dewar) "Bifurcation of the resistive Alfvn Wave Spectrum"
Journal of Plasma Physics 2 (1984) 443-461.
- "Integral transforms and their applications" (2nd. ed.) Springer-Verlag,
NY (volume 25, Applied Mathematical Sciences series, 411 pp).
- (with D. B. Abraham) " Reply to comments on Abraham's intrinsic interface
structure" Physical Review B (1985) 7807.
- "Locating the zeros of an Analytic function" Journal of Computational
Physics, 66 (1986) 36-49.
- (with T.D. Kieu) "The quantum inverse method and the non-linear Schrdinger
equation" Inverse Problems, 2 (1986) 141-159.
- "Yang-Baxter and Other Relations for Free Fermion and Ising Models"
Journal of Statistical Physics, 46 (1987) 535-557.
- "The quantum Gelfan-Levitan equation and the non-linear Schrdinger
equation" Inverse Problem, 4 (1988) 47-58.
- (with E. Gutkin) "Intertwining operators and the quantum inverse method
for the non-linear Schrdinger equation" Physica A, 151 (1988)
167-192.
- "Corner Transfer Matrices for the Ising model" Physica A,
154 (1988) 1-20.
- "On the spectrum of six-vertex Corner Transfer Matrices" Physica
A, 159 (1989) 171-187.
- (with P. A. Pearce) "Conformal Invariance and Critical Spectrum of
Corner Transfer Matrices" Journal of Physics A, 23 (1990) 1295-1312.
- "Onsager's Algebra and Superintegrability" Journal of Physics
A, 23 (1990) 1295-1311.
- (with P. A. Pearce) "Conformal properties of critical Ising model
corner transfer matrices" International Journal of Modern Physics
A, 4 (1990) 907-912.
- "Higher Conservation laws for the non-linear Schrdinger equation"
Physica A, 167 (1990) 433-456.
- "A twist on Chiral Potts" Journal of Statistical Physics,
62 (1991) 89-104.
- (with I. Peschel) "Corner transfer matrices and corner magnetization
for the Ising model" Journal of Physics A, 32 (1991) 1293-1306.
- "Onsager's algebra and the Dolan Grady condition in the non self-dual
case" Journal of Mathematical Physics A, 32 (1991) 2945-2950.
- (with O. Foda, M. Jimbo, T. Miwa and A. Nakayashiki)
"Diagonalization of the XXZ Hamiltonian by Quantum Vertex Operators"
Communications in Mathematical Physics, 151 (1993) 89-153.
- (with I. Peschel) "Effect of geometry on transfer matrices, spin chains
and critical behaviour" Annalen der Physik, 2 (1993) 79-91.
- "Corner Transfer Matrices and Quantum Affine Algebras" Journal
of Physics A, (1994) 361-378.
- (with D. Altschuler)
"Quantum loop modules and quantum spin chains" International
Journal of Modern Physics A, 9 (1994), 3925-3958.
- "Infinite Dimensional
Symmetry of corner transfer matrices" Confronting the Infinite,
eds. A. L. Carey et. al. (Singapore: World Scientific, 1995) 175-192.
- (with M. Okado) "Excitation
Spectra of Spin Models constructed from Quantized Affine Algebras of type
B_n, D_n" International Journal of Modern Physics A11 (1996)
1975-2012.
- (with I. Peschel) "A
unified treatment of Ising model magnetizations" Annalen der Physik,
6 (1997) 187-214.
- (with M. T. Batchelor and J. McGuire) "Linear and optimal control
of one-dimensional maps" Physics Letters A, 233 (1997) 361-364.
- "On the Riemann surface of the three-state chiral Potts model"
Advances in Statistical Mechanics, 14 (1999) 316-335.
- "Exploring
Chaos: theory and experiment" Perseus Press, (1999).
- (with A. Neeman) "Algebraic geometry of the three-state chiral Potts
model" submitted. Israel J. Math., 125 (2001) 253-292.
- "Integral transforms and their applications" (3rd. ed.) Springer-Verlag,
NY (volume 41, Texts in Applied Mathematics, 367 pp).
- "Graphical visualisation of bifurcation theory
for two-dimensional systems" (preprint).