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Publications (Many downloadable as gzipped postscript files)

Brian Wybourne

  • Original papers
    1. W. A. Runciman and B. G. Wybourne,
      Spectra of Trivalent Praseodymium and Thulium Ions,
      J. Chem. Phys., 31 (1959) 1149-50
    2. B. G. Wybourne,
      Optimum Optical Density for "Shot" Noise Limited Spectrophotometers,
      J. Opt. Soc. Am., 50, (1960) 84-5
    3. B. G. Wybourne,
      Analysis of the Solid-State Spectra of Trivalent Neodymium and Erbium, J. Chem. Phys., 32, (1960) 639-642
    4. B. G. Wybourne,
      Composition of the Electronic States of Nd IV and Er IV,
      J. Chem. Phys., 34, (1961) 279-81
    5. B. G. Wybourne,
      Spin-Orbit Interactions in f^n Configurations,
      J. Chem. Phys., 35, (1961) 334-339
    6. B. G. Wybourne,
      Electrostatic Energy Matrices of the f^5 and f^6 configurations,
      J. Chem. Phys., 35, (1961) 340-352
    7. B. G. Wybourne,
      Structure of f^n Configurations. I. Calculation of Energy Levels,
      J.Chem. Phys., 36, (1962) 2295-2300 (1962).
    8. B. G. Wybourne,
      Structure of f^n Configurations. II. f^5 and f^9 Configurations.
      J. Chem. Phys., 36,(1962) 2301-2311
    9. B. G. Wybourne,
      Nuclear Moments and Intermediate Coupling,
      J. Chem. Phys., 37, (1962) 1807-1811
    10. B. G. Wybourne,
      Energy Matrices of the f^5 Electron Configuration,
      Univ. Calif. Rad. Lab. Rpt. UCRL-10448 (1962).
    11. B. G. Wybourne,
      Electrostatic Interactions in Complex Electron Configurations,
      J. Math. Phys., 4, (1963) 354-356
    12. J. G. Conway and B. G. Wybourne,
      Low-Lying Energy Levels of Lanthanide Atoms in Intermediate Coupling,Phys. Rev.,
      130, (1963)2325-2332
    13. K. Rajnak and B. G. Wybourne,
      Configuration Interaction Effects in l^n Configurations,
      Phys. Rev., 132, (1963) 280-290
    14. B. G. Wybourne,
      g-Sum Rule and the Levels of Eu II,
      J. Opt. Soc. Am., 54, (1964) 267
    15. B. G. Wybourne,
      Low-Lying Levels of Trivalent Curium,
      J. Chem. Phys., 40, (1964) 1456-1457
    16. B. G. Wybourne,
      Orbit-orbit Interactions and the 'Linear Theory' of Configuration Interaction,
      J. Chem. Phys., 40, (1964) 1457-1458
    17. K. Rajnak and B. G. Wybourne,
      Electrostatically Correlated Spin-Orbit Interactions in l^n-type Configurations,
      Phys. Rev., 134A, (1964) 596-600
    18. K. Rajnak and B. G. Wybourne,
      Configuration Interaction in Crystal Field Theory,
      J. Chem. Phys., 41, (1964) 565-569
    19. W. T. Carnall, P. R. Fields and B. G. Wybourne,
      Electronic Energy Levels of the Lighter Actinides: U^3+, Np^3+, Pu^3+, Am^3+ and Cm^3+,
      J. Chem. Phys., 40, (1964) 3428-3433
    20. W. T. Carnall, P. R. Fields and B. G. Wybourne,
      The Low-Lying Levels of Trivalent Americium,
      J. Chem. Phys., 41, (1964) 2195-2196
    21. P. R. Fields, B. G. Wybourne and W. T. Carnall,
      Energy Levels of the TransCurium Elements,
      Argonne National Lab. Rpt. ANL-6911 (1964).
    22. B. G. Wybourne,
      Generalisation of the 'Linear Theory' of Configuration Interaction,
      Phys. Rev., 137A, (1965) 364-368
    23. G. Smith and B. G. Wybourne,
      Energy Levels of the First Spectrum of Europium Eu I,
      J. Opt. Soc. Am., 55, (1965) 121-5
    24. W. T. Carnall, P. R. Fields and B. G. Wybourne,
      Spectral Intensities of the Trivalent Lanthanides and Actinides in Solution I. Pr^3+, Nd^3+, Er^3+, Tm^3+ and Yb^3+,
      J. Chem. Phys., 42, (1965) 3797-3806
    25. B. G. Wybourne,
      Theoretical Studies of Lanthanide and Actinide Spectra,
      J. Opt. Soc. Am., 55, (1965) 928-935
    26. G. Smith and B. G. Wybourne,
      Configuration Interaction in the Gd II Spectrum,
      J. Opt. Soc. Am., 55, (1965) 1278-1283
    27. B. G. Wybourne,
      Use of Relativistic Wave Functions in Crystal Field Theory,
      J. Chem. Phys., 43, (1965) 4506-4507
    28. B. G. Wybourne,
      Spectroscopic Properties of the Rare Earths,
      236pp. (J. Wiley and Sons Inc., New York, 1965).
    29. B. G. Wybourne,
      Energy Levels of Trivalent Gadolinium and Ionic Contributions to the Ground-State Splitting,
      Phys. Rev., 148, (1966) 317-327
    30. B. G. Wybourne,
      Group-Theoretical Classification of the Atomic States of g^N Configurations,
      J. Chem. Phys., 45, (1966) 1100-4
    31. B. G. Wybourne,
      Coupled Products of Annihilation and Creation Operators in Crystal Energy Problems, pp35-52 Optical Properties of Ions in Crystals,ed Crosswhite, HM and Moos, HW
      (J. Wiley and Sons, New York 1967).
    32. P. R. Smith and B. G. Wybourne,
      Selection Rules and the Decomposition of the Kronecker Squares of Irreducible Representations,
      J. Math. Phys., 8, (1967) 2434-2440
    33. I. N. Douglas, J. V. Nicholas and B. G. Wybourne,
      Luminescence of Pt^4+ in Octahedral Complexes,
      J. Chem. Phys., 48, (1968) 1415-146
    34. B. G. Wybourne,
      Effective Operators and Spectroscopic Properties,
      J. Chem. Phys., 48, (1968) 2596-2611
    35. P. R. Smith and B. G. Wybourne,
      Plethysm and the Theory of Complex Spectra,
      J. Math. Phys., 9, (1968) 1040-51
    36. B. G. Wybourne and P. H. Butler,
      The Configuration (d+s)^N and the Group R_6,
      J. de Phys., 30, (1969) 181-186
    37. B. G. Wybourne,
      Coefficients of Fractional Parentage and LL-Coupling,
      J. de Phys., 30, (1969) 35-38
    38. B. G. Wybourne,
      Symmetry Classification of Two-Particle Operators in Atomic Spectroscopy,
      J. de Phys., 30, (1969) 39-46
    39. B. G. Wybourne,
      Hermite's Reciprocity Law and the Angular Momentum States of Equivalent Particle Configurations,
      J. Math. Phys., 10, (1969) 467-471
    40. P. H. Butler and B. G. Wybourne,
      Applications of S-Functional Analysis to Continuous Groups,
      J. de Phys. 30, (1969) 795-802
    41. P. H. Butler and B. G. Wybourne,
      Reduction of the Kronecker Products for Rotational Groups,
      J. de Phys., 30, (1969) 655-664
    42. M. J. Cunningham and B. G. Wybourne,
      Quasi-Particle Formalism and Atomic Shell Theory,
      J. Math. Phys., 10, (1969) 2149-2155
    43. N. Rosenzweig and B. G. Wybourne,
      Dispersion of Atomic Gyromagnetic Ratios Approach to Statistical Equilibrium,
      Phys. Rev., 180, (1969) 33-44
    44. M. J. Cunningham and B. G. Wybourne,
      Quasi-Particle Formalism and Atomic Shell Theory. II. Mixed Configurations,
      J.Math. Phys., 11, (1970) 1288-1295
    45. B. G. Wybourne,
      Symmetry Principles and Atomic Spectroscopy,
      pp146 (J. Wiley and Sons, New York 1970).
    46. B. G. Wybourne,
      Compact Groups in Atomic Physics, pp63-121 in New Directions in Atomic Physics,
      (Yale Univ. Press, New Haven 1970).
    47. B. G. Wybourne,
      Symmetry Principles in Atomic Spectroscopy,
      J. de Phys., 31 C4, (1970) 33-39
    48. P. H. Butler and B. G. Wybourne,
      Generalised Racah Tensors and the Structure of Mixed Configurations,
      J. Math. Phys., 11, (1970) 2512-2518
    49. P. H. Butler and B. G. Wybourne,
      Is the Group R_4 an Approximate Symmetry for Many-Electron Theory ?,
      J. Math. Phys., 11, (1970) 2519-2524
    50. J. G. Cleary and B. G. Wybourne,
      Statistical Group Theory and the Distribution of Angular Momentum States,
      J. Math. Phys., 12, (1971) 45-52
    51. B. G. Wybourne,
      Quasi-Spin Symmetrised Orbital Operators for d^N Configurations,
      J. de Phys., 32, (1971) 259-267
    52. T. G. Haskell, B. G. Wybourne and S. Feneuille,
      Application of the Group SU_3 to the Theory of Many-Electron Atoms,
      Physica 53, (1971) 64-76
    53. P. H. Butler and B. G. Wybourne,
      Tables of Outer S-function Plethysms,
      Atomic Data 3, (1971) 133-151
    54. P. H. Butler, P. E. H. Minchin and B. G. Wybourne,
      Tables of Hydrogenic Slater Radial Integrals, Atomic Data
      3, (1971) 153-168
    55. B. G. Wybourne,
      Internal Labelling and the Group G_2,
      J. Math. Phys., 13, (1972) 455-457
    56. T. G. Haskell and B. G. Wybourne,
      Matrix Elements of the Radial-Angular Factorised Harmonic Oscillator,
      Il Nuovo Cim., 12B, (1972) 185-196
    57. B. G. Wybourne (Editor),
      The Structure of Matter, Rutherford Centennial Symposium 1971
      (Univ. Canterbury Publications, Christchurch 1972).
    58. B. G. Wybourne,
      Ligand Field Theory and Continuous Groups,
      Chem. Phys, Letts., 16, (1972) 365-368
    59. T. G. Haskell and B. G. Wybourne,
      A Dynamical Group for the Harmonic Oscillator,
      Proc. Roy. Soc. (London), A334, (1973) 541-551
    60. B. G. Wybourne,
      Classical Groups for Physicists,
      415pp (J Wiley and Sons, New York 1973).
    61. B. G. Wybourne,
      The 'Gruppen Pest' Yesterday, Today and Tomorrow,
      Int. J. Quantum Chem. Symp. No. 7, (1973) 35-43
    62. B. G. Wybourne,
      Lie Algebras in Quantum Chemistry:Symmetrised Orbitals,
      Int. J. Quantum Chem., 7, (1973) 1117-1137
    63. B. R. Judd and B. G. Wybourne,
      Theoretical Methods in Atomic Spectroscopy,
      M. I. R. Publishers, Moscow (1973).
    64. P. E. H. Minchin and B. G. Wybourne,
      Effective Operators and the Z-Expansion Method,
      Int. J. Quantum Chem., 9, (1975) 23-34
    65. P. H. Butler and B. G. Wybourne,
      Calculation of j and jm Symbols for Arbitrary Compact Groups I: Methodology,
      Int. J. Quantum Chem., 10, (1976) 581-598
    66. P. H. Butler and B. G. Wybourne,
      Calculation of j and jm Symbols for Arbitrary Compact Groups III. Application to SO_3 -> T -> C_3 -> C_1,
      Int. J. Quantum Chem., 10, (1976) 615-628
    67. C. E. Wulfman and B. G. Wybourne,
      The Lie Group of Newton's and Lagrange's Equations for the Harmonic Oscillator,
      J. Phys. A:Math. Gen., 9, (1976) 507-518
    68. R. P. Bickerstaff and B. G. Wybourne,
      Integrity Bases, Invariant Operators ant the State Labelling Problem for Finite Subgroups of SO_3,
      J. Phys. A:Math. Gen., 9, (1976) 1051-1068
    69. B. G. Wybourne and M. J. Bowick,
      Basic Properties of the Exceptional Lie Groups,
      Austr. J. Phys., 30, (1977) 259-286
    70. B. G. Wybourne,
      SU_6 x SU_3 scalars in E_7 Irreps,
      J. Math. Phys., 19, (1978) 529-530
    71. R. P. Bickerstaff and B. G. Wybourne,
      Commuting Tensor Operators and the State Labelling Problem for SO_4 -> P,
      J. Phys. A:Math. Gen., 11, (1978) 231-247
    72. B. G. Wybourne,
      S-Wave Colour Singlet States of Multiquark Configurations,(pdf)
      Austr. J. Phys., 31, (1978) 117-129
    73. P. H. Butler, R. W. Haase and B. G. Wybourne,
      Calculation of 6j Symbols for the Exceptional Group E_7,
      Austr. J. Phys., 31, (1978) 131-135
    74. P. H. Butler, R. W. Haase and B. G. Wybourne,
      Calculation of 3jm Factors and the matrix Elements of E_7 Group Generators,
      Austr. J. Phys., 32, (1979) 137-154
    75. B. G. Wybourne,
      Aspects of the Exceptional Group E_8,
      Austr. J. Phys., 32, (1979) 417-426
    76. B. G. Wybourne,
      Enumeration of Group Invariant Quartic Polynomials in Higgs Scalar Fields,
      Austr. J. Phys., 33, (1980) 941-949
    77. R. P. Bickerstaff and B. G. Wybourne,
      Colour-Spin Matrix Elements for Multi-Quark Systems,(pdf)
      Austr. J. Phys., 33, (1980) 951-964
    78. Luan Dehuai and B. G. Wybourne,
      The Symmetric Group: Products, Branching Rules and Plethysms for Spin Representations,
      J. Phys.A:Math. Gen., 14, (1981) 327-348
    79. R. P. Bickerstaff and B. G. Wybourne,
      Dissociation Calculations for S-Wave Multi-Quark Systems,
      J. Phys. G:Nuclear, 7, (1981) 275-292
    80. Luan Dehuai and B. G. Wybourne,
      The Alternating Group: Branching Rules, Products and Plethysms for Ordinary and Spin Representations,
      J. Phys. A:Math. Gen., 14, (1981) 1835-1848
    81. T. M. Kalotas and B. G. Wybourne,
      An Application of the Equivalence Principle in Classical Mechanics,
      European J. Phys., 2, (1981) 52-54
    82. G. R. E. Black and B. G. Wybourne,
      S-Wave q^3 q^3 States in the Bag Model,
      J. Phys. G:Nuclear, 7, (1981) 853-866
    83. R. C. King, Luan Dehuai and B. G. Wybourne,
      Symmetrised Powers of Rotation Group Representations,
      J. Phys. A:Math. Gen., 14, (1981) 2509-2538
    84. T. M. Kalotas and B. G. Wybourne,
      Dynamical Noether Symmetries,
      J. Phys. A:Math. Gen., 15, (1982) 2077-2083
    85. R. C. King and B. G. Wybourne,
      Some Noteworthy Spin Plethysms,
      J. Phys. A:Math. Gen., 15, (1982) 1137-1141
    86. B. G. Wybourne,
      Rank Dependency of Group Properties,
      Physica 114A, (1982) 350-60
    87. B. G. Wybourne,
      Rank Dependency of Weight Multiplicities for Simple Lie Groups,
      J. Phys. A:Math. Gen., 15, (1982) 2687-2697
    88. G. R. E. Black, R. C. King and B. G. Wybourne,
      Kronecker Products for Compact Semisimple Lie Groups,
      J. Phys. A:Math. Gen., 16, (1983) 1555-1589
    89. B. G. Wybourne,
      Branching Rules and Replicating Representations,
      Found. Phys., 13, (1983) 175-182
    90. G. R. E. Black and B. G. Wybourne,
      Branching Rules and Even-Dimensional Rotation Groups SO_2k,
      J. Phys. A:Math. Gen., 16, (1983) 2405-2421
    91. B. G. Wybourne,
      Branching Rules for E_8 -> SO_16,
      J. Phys. A:Math. Gen., 17, (1984) 1397-1402
    92. B. G. Wybourne,
      Characters, Dimensions and Branching Rules for Covariant Irreps of U(N/M),
      J. Phys. A:Math. Gen., 17, (1984) 1573-1578
    93. D. J. Rowe, B. G. Wybourne and P. H. Butler,
      Unitary Representations, Branching Rules and Matrix Elements for the Non-Compact Symplectic Groups,
      J. Phys. A:Math. Gen., 18, (1985) 939-953
    94. R. C. King and B. G. Wybourne,
      Holomorphic Discrete Series and Harmonic Series Unitary Irreducible Representations of Non-Compact Lie Groups: Sp(2n,R), U(p,q) and SO^*(2n),
      J. Phys. A:Math.Gen., 18, (1985) 3113-3139
    95. M. G. Hirst and B. G. Wybourne,
      Statistical Group Theory and the Distribution of Angular Momentum States: II,
      J. Phys. A:Math. Gen., 19, (1986) 1545-1549
    96. M. Yang and B. G. Wybourne,
      Extended Poincare Supersymmetry Rotation Groups and Branching Rules,
      J. Phys. A:Math. Gen., 19, (1986) 2003-2017
    97. M. Yang and B. G. Wybourne,
      New s-function Series and Non-Compact Lie Groups,
      J. Phys. A:Math. Gen., 19, (1986) 3513-3525
    98. B. G. Wybourne,
      Exact Boson Mappings for the Neutron (proton) p Shell with SO_7 -> SU_3 Symmetry,
      Phys. Rev., C33, (1986) 1103
    99. P. D. Jarvis, M. Yang and B. G. Wybourne,
      Generalised Quasispin for Supergroups,
      J. Math. Phys., 28, (1987) 1192-1197
    100. B. G. Wybourne,
      Group Theory and Microcomputers,
      Asia-Pacific Physics News, 2, (1987) 9-10
    101. R. J. Farmer, R. C. King and B. G. Wybourne,
      Spectrum-generating Functions for Strings and Superstrings,
      J. Phys. A:Math. Gen., 21, (1988) 3979-4007
    102. R. C. King, B. G. Wybourne and M. Yang,
      Slinkies and S-function Generating Functions,
      J. Phys. A:Math.Gen., 22, (1989) 4519-4535
    103. B. G. Wybourne,
      Calculating Properties of Lie Groups,
      pp593-8, Symmetries in Science III (Plenum Press, New York 1989).
    104. B. G. Wybourne,
      The Littlewood-Richardson Rule - The Cornerstone for Computing Group Properties,
      Proc. Stefan Banach Int. Math. Centre Seminar on Combinatorics 26 (1988) 475-482
    105. M. A. Salam and B. G. Wybourne,
      Q-Functions and O_n -> S_n Branching Rules for Ordinary and Spin Representations,
      J. Phys. A:Math. Gen., 22, (1989) 3771-3778
    106. M. A. Salam and B. G. Wybourne,
      Shifted Tableaux, Schur's Q-functions and Kronecker Products of S_n Spin Irreps,
      J. Math. Phys., 31, (1990) 1310-1314
    107. Qingsheng Wang and B. G. Wybourne,
      Magnetic Circular Dichroism and Ground State Splittings,
      J. Chem. Phys., 93, (1990) 1604-1606
    108. B. G. Wybourne,
      Symmetrised powers of the Fundamental Irrep of E_6,
      J. Math. Phys. 31, (1990) 2345 (1990).
    109. B. G. Wybourne,
      Group Structures for the Interacting Boson Approximation in Nuclei,
      pp , Symmetries in Science V (Plenum Press, New York 1990).
    110. R. C. King and B. G. Wybourne,
      Characters of Hecke algebras H_n(q) of type A_n-1,
      J. Phys. A:Math.Gen., 23, (1990) L1193-l1197
    111. B. G. Wybourne,
      A role for the Exceptional Groups E_6 and G_2 in the IBM Nuclear Models, XVIII Int. Coll. Group Theor. Meth. in Physics Moscow.
      Lecture Notes in Physics 382, (1990) 140-144
    112. I. Morrison, P. W. Pieruschka and B. G. Wybourne,
      The Interacting Boson Model with the Exceptional Groups G_2 and E_6,
      J. Math. Phys. 32, (1991) 356-372
    113. R. C. King and B. G. Wybourne,
      Representations and Traces of the Hecke algebras H_n(q) of type A_n-1,
      J. Math. Phys., 33, (1992) 4-14
    114. B. G. Wybourne,
      Spectroscopic Properties of the f-elements,
      Eur. J. Sol. St. Inorg. Chem. 28S, (1991) 19-32
    115. B. G. Wybourne,
      Properties of half-filled shells,
      pp 155-86 in Symmetry and Structural Properties of Condensed Matter, World Scientific Publishing 1991).
    116. B. G. Wybourne,
      Fun with Hecke Algebras,
      pp 187-91 in Symmetry and Structural Properties of Condensed Matter, World Scientific Publishing 1991).
    117. S. A. Fulling, R. C. King ,B. G. Wybourne and C. J. Cummins,
      Normal Forms for Tensor Polynomials I. The Riemann Tensor
      Class. Quantum Grav. 9, (1992) 1151-97
    118. 118. M. A. Salam and B. G. Wybourne,
      The q-deformation of Symmetric Functions and the Symmetric Group
      J. Phys. A:Math.Gen., 24, (1991) L317-l321
    119. M. A. Salam and B. G. Wybourne,
      Vertex operators and the symmetric functions
      J. Phys. A:Math.Gen., 25 (1992) 2297-2310
    120. B. G. Wybourne and M. Yang,
      q-Deformation of symmetric functions and Hecke algebras H_n(q) of type A_n-1,
      AIP Conference Proceedings 266, 64-84 (1992).
    121. S. A. Fulling, C. J. Cummins, R. C. King and B. G. Wybourne,
      Group-theoretical classification of polynomial functions of the Riemann tensor,
      Proc. Wigner Symposium, Goslar (1992)
    122. B. G. Wybourne,
      Symmetry Aspects of Problems in Spectroscopic Phenomena,
      Physica Scripta T40, (1992) 53-7
    123. B. G. Wybourne,
      Effective operators and Symmetry,
      in Proceedings of the Karpacz Workshop on Excited States of Transition Elements Ed. W. Strek etal (World Scientific) pp 298-303 (1992).
    124. B. G. Wybourne,
      The representation space of the nuclear symplectic Sp(6,R) shell model
      J. Phys. A:Math. Gen. 25, (1992) 4389-4398
    125. B. G. Wybourne,
      The Eight-fold Way of the electronic f-shell
      J. Phys. B:Atom. Mol. Opt. Phys. 25, (1992) 1683-1696
    126. B. G. Wybourne and J. Meller,
      Enumeration of the order 14 invariants formed from the Riemann tensor
      J. Phys. A:Math. Gen. 25, (1992) 5999-6003
    127. B. G. Wybourne and M. Yang,
      q-Deformation of symmetric functions and Hecke algebras H_n(q) of type A_n-1,
      AIP Conference Proceedings 266, (1992) 64-84
    128. B. G. Wybourne,
      Combinatorial Explosions in Computing Group Properties,
      (199?) 93-104 (Group Theoretical Methods in Physics (rakhiv 1992)), Hadronic Press, Palm Harbor Fl.
    129. B. G. Wybourne,
      Computing Group Properties with SCHUR,
      (199?) 105-120 (Group Theoretical Methods in Physics (rakhiv 1992)), Hadronic Press, Palm Harbor Fl.
    130. B. G. Wybourne,
      Symmetric functions and their application to problems in physics
      (1993) pp 79-100 (The Second International School of Theoretical Physics, Poznan, Poland), World Sci. Publ.
    131. Thomas Scharf, Jean-Yves Thibon and Brian G. Wybourne,
      Reduced notation, inner plethysms and the symmetric group
      J. Phys. A:Math. Gen. 26, (1993) 7461-7478
    132. G. Stedman and B Wybourne,
      E-mail or perish?
      Physics World 19-20 (Feb. 1993).
    133. Thomas Scharf, Jean-Yves Thibon and Brian G. Wybourne,
      Expansion of the Vandermonde determinant and the quantum Hall effect
      J. Phys. A:Math. Gen. 27, (1994) 4211--4219
    134. B. G. Wybourne,
      Applications of S-functions to the quantum Hall effect and quantum dots
      Rept. Math. Phys. 34, (1994) 9-16
    135. B. G. Wybourne,
      Comment on "Wbase: a C package to reduce tensor products of Lie Algebra representations
      Comp. Phys. Comm. 83, (1994) 332-333
    136. M. A. Salam and B. G. Wybourne,
      Young raising operators and Q-functions
      Austr. J. Comb. 9, (1994) 169-177
    137. B. G. Wybourne,
      Why so miserable?
      Physics World 25 (April 1994).
    138. B. G. Wybourne,
      Exceptional Lie groups in physics
      Lithuanian J. Phys. 35, (1995) 123-131
    139. B. G. Wybourne,
      Symmetry selection rules and Hyperfine structure,
      Proc. Third Intnl School on Theoretical Physics, (1995) pp 56-66 World Scientific
    140. K. Grudzinski and B. G. Wybourne,
      Computing Properties of the Non-Compact Groups Mp(2n) and Sp(2n,R) using SCHUR
      Proc. Third Intnl School on Theoretical Physics, (1995) pp 469-483 World Scientific
    141. B. G. Wybourne,
      Athletic nonsense
      Nature 373, (1995) 278
    142. M. Yang and B. G. Wybourne,
      Squares of S-functions of Special shapes
      J. Phys. A:Math. Gen. 28, (1995) 7011-7017
    143. R. C. King and B. G. Wybourne,
      The place of the adjoint representation in the Kronecker square of irreducible representations of simple Lie groups
      J. Phys. A:Math. Gen. 29, (1996) 5059-77.
    144. B. G. Wybourne,
      Symmetry: Harmonic Oscillators to Quantum Dots
      Proc. Ninth Intl. School of Condensed Matter Physics, Bialowieza '95 (Inst. Phys. Warsaw Univ. Branch, Bialystok,Poland) (1995)
    145. K. Grudzinski and B. G. Wybourne,
      Symplectic models of n-particle systems
      Rept. Math. Phys. 38, 251-266 (1996)
    146. B. G. Wybourne,
      SCHUR, An interactive Program for Calculating Properties of Lie Groups and Symmetric Functions
      Euromath Bulletin 2 145-159 (1996).
    147. B. G. Wybourne,
      Plethysm and Symplectic Models
      Lithuanian J. Phys. 36, (1996) 159-161
    148. H. L. Oczkowski, K. R. Przegietka, B. G. Wybourne, M. Kachnic and A. Krawiec.
      The Chernobyl fallout in salt from Ciechocinek, Poland
      Radiation Measurement (1996), 26 743-745
    149. K. Grudzinski and B. G. Wybourne,
      Plethysm for the noncompact group Sp(2n,R) and new S-function identities
      J. Phys. A:Math. Gen. 29, 6631-6641 (1996).
    150. Brian G. Wybourne, Norbert Flocke and Jacek Karwowski,
      Characters of Two-Row Representations of the Symmetric Group
      Int. J. Quantum Chem. 62, 261-4 (1997).
    151. Brian G. Wybourne,
      Guesses - Hunches - Formulae - Discoveries
      Adv. Quantum Chem. (28) 312-317 (1997).
    152. B. G. Wybourne,
      Plethysm and the Non-Compact Groups Sp(2n,R)
      Seminaire Lotharingien de Combinatoire B36g, 5pp (1996).
    153. B. G. Wybourne,
      Vladas Vanagas: An Appreciation
      Vladas Vanagas Volume (Lithuanian Physical Society Publ.) pp16-18 (1996).
    154. B. G. Wybourne,
      Plethysm in Physics and Chemistry Applications,
      Proc. Fourth Intnl School on Theoretical Physics, (1996) Singapore: World Scientific pp253-62
    155. B. G. Wybourne,
      Recent extensions and developments in SCHUR,
      Proc. Fourth Intnl School on Theoretical Physics, (1996) Singapore: World Scientific pp509-18
    156. B. G. Wybourne,
      Symmetries, Selection Rules and Why Dinosaurs had Small Heads,
      Proc. First Seminar on Hidden Symmetry of Physical Structure, Recipe of Weyl, Editors: M. Kuzma & A. Wal (Rzeszow 1995) pp39 - 49
    157. Jean-Yves Thibon, Frederic Toumazet and Brian G Wybourne,
      Products and plethysms for the fundamental harmonic series representations of U(p,q),
      J. Phys. A:Math. Gen. 30, 4851-6 (1997)
    158. Thomas Scharf, Jean-Yves Thibon and Brian G. Wybourne,
      Generating functions for stable branching coefficients of U(n)->S(n), O(n)->S(n) and O(n-1)->S(n),
      J. Phys. A:Math. Gen. 30, 6963-75 (1997)
    159. B G Wybourne,
      Recognizing Patterns in Mathematical Physics
      Proc. Second Seminar on Hidden Symmetry of Physical Structure, Recipe of Weyl, Editors: A. Wal & M. Kuzma (Rzeszow 1997) pp60-68
    160. M Schlesinger, R D Kent and B G Wybourne, Group theory and the meaning of life?, in: Proc. 4th International Summer School in Theoretical Physics ( Singapore: World Scientific, 1997) pp. 263-282
    161. B G Wybourne,
      Symmetry as a Theme in Chemistry and Physics
      Proc. Second Seminar on Hidden Symmetry of Physical Structure, Recipe of Weyl, Editors: A. Wal & M. Kuzma (Rzeszow 1997) pp9-18
    162. Jean-Yves Thibon, Frederic Toumazet and Brian G Wybourne,
      Symmetrised squares and cubes of the fundamental unirreps of Sp(2n,R),
      J. Phys. A:Math. Gen. 31, 1073-86 (1998)
    163. R C King and B G Wybourne,
      Products and symmetrised powers of irreducible representations of Sp(2n,R) and their associates,
      J. Phys. A:Math. Gen. 31,6669-6689 (1998)
    164. R C King, F. Toumazet and B G Wybourne,
      Products and symmetrised powers of irreducible representations of SO*(2n),
      J. Phys. A:Math. Gen. 31, 6691-6705 (1998)
    165. R D Kent, M Schlesinger and B G Wybourne,
      On algebraic approaches to the genetic code,
      Can. J. Phys. 76, 445-452 (1998)
    166. R D Kent, M Schlesinger and B G Wybourne, On algebraic approaches to the genetic code, (Group22: Proceedings of the XXII International Colloquium in Group Theoretical Methods in Physics, Internat. Press, Cambridge, MA (1999))
    167. B G Wybourne, Physics as a Journey, Nicholas Copernicus University Press 174pp (1998)
    168. B G Wybourne, Two Pound's worth of Symmetry, Molecular Physics Repts. (23) , 96-104 (1999)
    169. R C King, F. Toumazet and B.G. Wybourne,
      A finite subgroup of the exceptional Lie group G_2
      J. Phys. A:Math. Gen. 32, 8527-8537(1999)
    170. B G Wybourne, Recent developments concerning non-compact groups and their properties(Symmetry and Structural Properties of Condensed Matter, Zajaczkowo, Poland, 26th August-2nd September 1998) (World Sci. Singapore) pp 101-111 (1999)
    171. R C King and B G Wybourne,
      Analogies between finite-dimensional irreps of $SO(2n)$ and infinite-dimensional irreps of $Sp(2n,\R)$ Part I: Characters and products,
      J.Math.Phys. (41), 5002-19 (2000)
    172. B G Wybourne,
      Hund's Rules, jj-coupling and the g^n Electron Configurations,
      Mol. Phys. (98), 1243-4 (2000)
    173. R C King and B G Wybourne,
      Analogies between finite-dimensional irreps of $SO(2n)$ and infinite-dimensional irreps of $Sp(2n,\R)$ Part II:Plethysms,
      J.Math.Phys. (41),5656-90 (2000)
    174. Lidia Smentek and Brian G Wybourne,
      A Relativistic Model of f<->f transitions,
      J. Phys. B (33), 3647-51 (2000)
    175. L Smentek, B G Wybourne and B A Hess,Jr,
      Judd-Ofelt theory in a new light on its (almost) 40th anniversary,
      J. Alloys and Compounds {\bf323-324} 645-8 (2001)
    176. Lidia Smentek and Brian G Wybourne,
      Relativistic f<-->f transitions in crystal fields II: beyond the single configuration approximation,
      J. Phys. B (34) 625-630 (2001)
    177. B G Wybourne,
      Statistical and Group Properties of the Fractional Quantum Hall Effect (SSPCM'2000, 31 August - 6 September 2000, Myczkowce, Poland) Singapore: World Scientific pp135-43
    178. B G Wybourne,
      At the start of a new Golden Age of Physics (SSPCM'2000, 31 August - 6 September 2000, Myczkowce, Poland) Singapore: World Scientific pp13-22
    179. Lidia Smentek, BG Wybourne and J Kobus,
      Relativistic crystal field for S-state f electron ions
      J. Phys. B (34),1513-22 (2001)
    180. Brian G Wybourne and Lidia Smentek,
      Relativistic effects in lanthanides and actinides
      J. Alloys Compounds (341/1-2), 71-5
    181. BG Wybourne,
      Bosons and fermions in a one-dimensional harmonic oscillator potential
      Int. J. Quantum Chem. (90) 1249-1252 (2002)
    182. R C King and B G Wybourne,
      Multiplicity free tensor products of irreducible representations of the exceptional Lie groups
      J. Phys. A35 3489-3513 (2002)
    183. B Wybourne,
      Unifikacja fizyki i astronomii
      Urania - Post/epy Astronomii (LXXIII), 100-3 (2002)
    184. Lidia Smentek, Brian G Wybourne and B Andes Hess Jr,
      Theory of sensitized luminescence of rare earth-doped materials IV. Relativistic approach
      J. Alloys and Compounds {\bf341}, 67-70 (2002)
    185. Brian G Wybourne,
      Symmetry, effective operators and Judd-Ofelt Theory
      Mol. Phys. {\bf101}, 899-901 (2003)
    186. Brian G Wybourne,
      The Vandermonde Determinant Revisited(SSPCM'2002, 11 - 18 September 2002, Myczkowce, Poland) Singapore: World Scientific pp74-87
    187. Brian G Wybourne,
      The small and the LARGE in physics(SSPCM'2002, 11 - 18 September 2002, Myczkowce, Poland) Singapore: World Scientific pp3 - 8

  • Drafts of forthcoming papers
    1. BG Wybourne,
      Group theoretical approaches to many-body problems in physics and chemistry
    2. BG Wybourne,
      Admissible partitions and the square of the Vandermonde determinant
    3. Brian G Wybourne,
      The fascination of the rare earths - then, now and in the future
    4. R C King, F Toumazet and B G Wybourne,
      The square of the Vandermonde determinant and its q-generalisation

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    Brian Wybourne
    17 Jan 9:10:16 MET 2001