Publications - Brian Davies


  1. (with L. M. Delves) "An exactly soluble two body problem with non-centralforces" Australian Journal of Physics, 16 (1963) 311-313.
  2. "Smoothing of apparent attitude data" WRE Tech memo, TRD 66 (1963).
  3. (with R. H. Evans) "A method for the routine determination of Radar refraction corrections" WRE Tech Note, TRD 13 (1965).
  4. "Matrix elements for a three nucleon system - I" Nuclear Physics, 73 (1966) 193-205.
  5. "Matrix elements for a three nucleon system - II" Nuclear Physics, 79 (1966) 427-436.
  6. "Angular functions for a three nucleon system" Nuclear Physics, 88, (1966) 361-372.
  7. "The three nucleon problem with the Hamada potential" Nuclear Physics, A103 (1967) 165-176.
  8. (with K. Okamoto) "A Note on the existence of the tri-neutron" Physics Letters, B4 (1967) 18- 21.
  9. (with R.G. Storer) "Correlation function in a plasma at zero particle separation" Physical Review, 171 (1968) 150-151.
  10. "Three body problem with the Hamada potential" Symposium on light nuclei, the few body problem and nuclear forces, Gordon & Breach (1969).
  11. (with J.M. Blatt, L.M. Delves, C. Pask) "Three nucleon calculations with the Hamada Johnston potential" Physics Letters, B28 (1969) 472-475.
  12. (with H.A. Blevin and P.J. Christiansen) "Effects of electron cyclotron resonance on elicon waves" Physics Letters, A28 (1969) 230-231.
  13. (with P.J. Christiansen) "Helicon waves in a gaseous plasma" Plasma Physics, 11 (1969) 987-1000.
  14. "Alfven waves in a non-uniform resistive plasma" Physical Review Letters, 22 (1969) 1236-1247.
  15. "Vacuum boundary conditions for helicon waves in a cylindrical plasma" Journal of Physics, A2 (1969) 717-719.
  16. "Helicon waves, effect of electron inertia" Journal of Plasma Phys, 4 (1970) 43-50.
  17. (with C. Butler, M. Jacquier & A.L. McCarthy) "The concept of the atom" Heinmann Education (1970).
  18. "Extension of van Kampen et al's method of calculating van der Waals forces to dissipative media" Physics Letters, A37 (1971) 391-392.
  19. (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.
  20. (with P. Richmond and B.W. Ninham) "van der Waal's attraction between long conducting molecules" Physics Letters, A39 (1972) 301-302.
  21. (with B. W. Ninham) "van der Waal's forces in electrolytes" Journal of Chemical Physics, 56 (1972) 5797-5801.
  22. (with P. Richmond) "Many body forces between long conducting molecules" Molecular Physics, 24 (1972) 1165-1168.
  23. "Calculation of van der Waal's forces from dispersion relations" Chemical Physics Letters, 16 (1972) 388-390.
  24. "Quantum Electromagnetic zero point energy of a conducting spherical shell" Journal of Mathematical Physics, 13 (1972) 1324-1329.
  25. "Complex zeros of linear combinations of spherical Bessel functions and their derivatives" SIAM Journal on Mathematical Analysis, 4 (1973) 128-133.
  26. (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.
  27. "Lifshitz theory: exact or approximate statistical mechanics?" Physics Letters, A48 (1974) 298-300.
  28. (with C.J. Barnes) "Statistical mechanics and Lifshitz theory for electrolytes: I" Journal of the Chemical Society (Faraday Transactions II), 71 (1975) 1667-1689.
  29. (with J.A. Hendry) "Variational methods and the indirect design of channels" Proc. of the third national conference on Computational Physics, Glasgow (1975).
  30. "Resonant interaction between excited atoms" Journal of Physics B (Molecular Physics), 9 (1976) 887-896.
  31. (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.
  32. (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.
  33. "Integral transforms and their applications" Springer-Verlag, NY (volume 25, Applied Mathematical Sciences series, 411 pp).
  34. (with B. Martin) "Numerical inversion of Laplace transforms: a critical review and appraisal" Journal of Computational Physics, 33 (1979) 1-32.
  35. (with A.N. Burkitt) "On the relationship between Quantum, Random and Semiclassical Electrodynamics" Australian Journal of Physics, 33 (1980) 671-684.
  36. "Vented Speaker Systems - Principles of operation" Electronics Australia 43(8) (1981), 88.
  37. "Vented Speaker Systems - Practical implementation" Electronics Australia 43(9) (1981), 90.
  38. "Difficulties with the inverse scattering transform method in quantum field theory" Journal of Physics A 14 (1981) 145-153.
  39. "Second quantization of the non-linear Schršdinger equation" Journal of Physics A 14 (1981) 2631-2644.
  40. "A note on the Lamb shift" American Journal of Physics 50 (1982) 331-335.
  41. "Integral transforms and their applications" (translation) Hungarian Academy of Sciences, Musaki.
  42. "Elementary theory of perihelion precession" American Journal of Physics 51 (1983) 909-911.
  43. "The spectrum of resistive MHD equations" Physics Letters, A100 (1984) 144-148.
  44. (with R.L. Dewar) "Bifurcation of the resistive AlfvŽn Wave Spectrum" Journal of Plasma Physics 2 (1984) 443-461.
  45. "Integral transforms and their applications" (2nd. ed.) Springer-Verlag, NY (volume 25, Applied Mathematical Sciences series, 411 pp).
  46. (with D. B. Abraham) " Reply to comments on Abraham's intrinsic interface structure" Physical Review B (1985) 7807.
  47. "Locating the zeros of an Analytic function" Journal of Computational Physics, 66 (1986) 36-49.
  48. (with T.D. Kieu) "The quantum inverse method and the non-linear Schršdinger equation" Inverse Problems, 2 (1986) 141-159.
  49. "Yang-Baxter and Other Relations for Free Fermion and Ising Models" Journal of Statistical Physics, 46 (1987) 535-557.
  50. "The quantum Gelfan-Levitan equation and the non-linear Schršdinger equation" Inverse Problem, 4 (1988) 47-58.
  51. (with E. Gutkin) "Intertwining operators and the quantum inverse method for the non-linear Schršdinger equation" Physica A, 151 (1988) 167-192.
  52. "Corner Transfer Matrices for the Ising model" Physica A, 154 (1988) 1-20.
  53. "On the spectrum of six-vertex Corner Transfer Matrices" Physica A, 159 (1989) 171-187.
  54. (with P. A. Pearce) "Conformal Invariance and Critical Spectrum of Corner Transfer Matrices" Journal of Physics A, 23 (1990) 1295-1312.
  55. "Onsager's Algebra and Superintegrability" Journal of Physics A, 23 (1990) 1295-1311.
  56. (with P. A. Pearce) "Conformal properties of critical Ising model corner transfer matrices" International Journal of Modern Physics A, 4 (1990) 907-912.
  57. "Higher Conservation laws for the non-linear Schršdinger equation" Physica A, 167 (1990) 433-456.
  58. "A twist on Chiral Potts" Journal of Statistical Physics, 62 (1991) 89-104.
  59. (with I. Peschel) "Corner transfer matrices and corner magnetization for the Ising model" Journal of Physics A, 32 (1991) 1293-1306.
  60. "Onsager's algebra and the Dolan Grady condition in the non self-dual case" Journal of Mathematical Physics A, 32 (1991) 2945-2950.
  61. (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.
  62. (with I. Peschel) "Effect of geometry on transfer matrices, spin chains and critical behaviour" Annalen der Physik, 2 (1993) 79-91.
  63. "Corner Transfer Matrices and Quantum Affine Algebras" Journal of Physics A, (1994) 361-378.
  64. (with D. Altschuler) "Quantum loop modules and quantum spin chains" International Journal of Modern Physics A, 9 (1994), 3925-3958.
  65. "Infinite Dimensional Symmetry of corner transfer matrices" Confronting the Infinite, eds. A. L. Carey et. al. (Singapore: World Scientific, 1995) 175-192.
  66. (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.
  67. (with I. Peschel) "A unified treatment of Ising model magnetizations" Annalen der Physik, 6 (1997) 187-214.
  68. (with M. T. Batchelor and J. McGuire) "Linear and optimal control of one-dimensional maps" Physics Letters A, 233 (1997) 361-364.
  69. "On the Riemann surface of the three-state chiral Potts model" Advances in Statistical Mechanics, 14 (1999) 316-335.
  70. "Exploring Chaos: theory and experiment" Perseus Press, (1999).
  71. (with A. Neeman) "Algebraic geometry of the three-state chiral Potts model" submitted. Israel J. Math., 125 (2001) 253-292.
  72. "Integral transforms and their applications" (3rd. ed.) Springer-Verlag, NY (volume 41, Texts in Applied Mathematics, 367 pp).
  73. "Graphical visualisation of bifurcation theory for two-dimensional systems" (preprint).