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Title: Lie Groups - A Physical Approach
???metadata.dc.contributor.*???: Dr. S.C. Chhajlany
Belay, Kalayu
Issue Date: Jun-1985
Publisher: Addis Ababa University
Abstract: Symmetries play a vital role in physics. If interactions are not known precisely, the underlying symmetries reflected in the phenomenology, provide valuable information on the interactions, even when interactions are known symmetries continue to remain a great asset. We concentrate on continuous symmetries. Associated with these are their Lie groups and algebras. V7e take up the study of such algebras following the very elegant approach due to Schwinger starting from the bilinear products of fermion or boson creation operators a wide variety of Lie algebras can be generated. That, such algebras are relevant to physics follows from the simple fact that such bilinear products figure frequently in physical problems. Our aim is: a) to study the general classification of such algebras, b) to study their broad general characterstics, c) to apply them to physical problems. The applications we choose to study are principally from elementary particle and nuclear physics and many body theories. The accidental degeneracies encountered in quantum mechanics are easily understood in this algebraic framework. Our principal objective is to grasp the essentials without recourse to unwarranted mathematics and to learn to use these techniques in physical problems.
Description: A Thesis Presented to the School of Graduate Studies and the Faculty of Science Addis Ababa University in Partial Fulfillment of the Requirements for the Degree Master of Science in Physics
Appears in Collections:Thesis - Physics

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