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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.
Sharp'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]
Sharp'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]
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Submission declined on 29 July 2024 by
Bobby Cohn (
talk). This submission is not adequately supported by
reliable sources. Reliable sources are required so that information can be
verified. If you need help with referencing, please see
Referencing for beginners and
Citing sources. This submission does not appear to be written in
the formal tone expected of an encyclopedia article. Entries should be written from a
neutral point of view, and should refer to a range of
independent, reliable, published sources. Please rewrite your submission in a more encyclopedic format. Please make sure to avoid
peacock terms that promote the subject.
Where to get help
How to improve a draft
You can also browse Wikipedia:Featured articles and Wikipedia:Good articles to find examples of Wikipedia's best writing on topics similar to your proposed article. Improving your odds of a speedy review To improve your odds of a faster review, tag your draft with relevant WikiProject tags using the button below. This will let reviewers know a new draft has been submitted in their area of interest. For instance, if you wrote about a female astronomer, you would want to add the Biography, Astronomy, and Women scientists tags. Editor resources
| ![]() |
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.
Sharp'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]
Sharp'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]
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cite web}}
: CS1 maint: url-status (
link)
{{
cite web}}
: CS1 maint: url-status (
link)