Ground Theory in Quantum Mechanics

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Date

1990-06

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Addis Ababa University

Abstract

The el ements of group theory are presented. Represelltat ion theory of both finite and continuous groups is suitably developed. The Schwinger fOrmulation of angular momentum theory is discussed and applications of SU(2) symmetry to elementary particle physics are considered. The dynamical symmetries of the Coulomb and isotropic oscillator problem are studied. The connection between Quasi-ExactlySolvable problems and group theory is analyzed. A number of interesting open questions are shown to emerge and partial answers to some are provided. Perspectives for future work are recorded

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Quantum Mechanics

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