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Robert T. Sharp (1922–2001) was a distinguished mathematical physicist who contributed significantly to the field of group theory and its applications in physics. He held positions at the University of Alberta and McGill University and collaborated with Jiří Patera and Pavel Winternitz at the Centre de Recherches Mathématiques (CRM). Until his retirement from McGill, he held a chair as MacDonald Professor of Physics.[1] Sharp started the tradition of the use of algebraic and group theoretical methods in mathematical physics in Montréal.
Contributions to mathematical physics
editSharp's early work focused on nuclear and elementary particle physics. He published a notable paper in 1953 on approximate wave functions for unbound relativistic particles in a Coulomb field.[2] He made valuable contributions to group theory by developing a simple method for calculating Clebsch-Gordan coefficients.[3] He and his collaborators and students applied this method to the group SU(3), which plays a crucial role in the classification of hadrons.[4] Sharp solved the missing label problem, which arises when dealing with representations of Lie groups[5]. His innovative approach provided a systematic way to specify quantum numbers in group theoretical calculations. He also worked on applications of non-compact groups and the development of methods for classifying their subgroups. Sharp’s most valuable contribution is his series of articles on generating functions in group representation theory. Most of the known generating functions were calculated in papers written by Sharp and his collaborators.[4]
Legacy and impact
editSharp's influence on physics and mathematics was profound. He trained numerous students who went on to become prominent researchers in their own right. His contributions continue to shape the fields of group theory and its applications in physics, leaving a lasting legacy in the scientific community. In 1994, a special issue of the Canadian Journal of Physics was dedicated to Sharp on the occasion of his 70th birthday.[4] Following his death, a Workshop on Symmetry in Physics was held at the Centre de Recherches Mathématiques, Université de Montreal, from September 12-14, 2002, with the Proceedings dedicated to Sharp's legacy.[6]
References
edit- ^ "Obituary of Robert-Thomas Sharp". YourFolks.com. October 3, 2001. Retrieved 24 July 2024.
{{cite web}}: CS1 maint: url-status (link) - ^ Horton, G.K.; Sharp, R.T. (February 1953). "Approximate Wave Functions for Unbound Relativistic Particles in a Coulomb Field". Physical Review. 89: 885. doi:10.1103/PhysRev.89.885.
- ^ Sharp, R.T. (February 1960). "Simple derivation of the Clebsch-Gordan coefficients". American Journal of Physics. 28: 116-118. doi:10.1119/1.1935073.
- ^ a b c Patera, J.; Winternitz, P. (1994). "Preface, Group theory in Physics: A special issue to honour Dr. Robert T. Sharp on his 70th birthday". Canadian Journal of Physics. 72: 7-8, viii.
- ^ Patera, J.; Winternitz, P. (March 2002). "Workshop on Symmetry in Physics In Memory of Robert T. Sharp" (PDF). CRM Proceedings and Notes. Volume 34. American Mathematical Society. Retrieved 24 July 2024.
{{cite web}}: CS1 maint: url-status (link) - ^ Winternitz, P.; Harnad, J.; Lam, H.; Patera, J. (March 2002). Symmetry in Physics: In memory of Robert T. Sharp (CRM Proceedings and Lecture Notes, Vol. 34 ed.). American Mathematical Society. ISBN 978-0-8218-3409-1.