Mathematics Colloquia and Seminars

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We will focus on specific applications of tensor algebras to quantum mechanics. Of particular interest are two-particle systems of bosons and fermions, corresponding to the symmetric and exterior subalgebras of a tensor-square. We begin with some introductory discussion of modules/representations, and (ir)reducibility thereof. We will then investigate the roles of these concepts as they pertain to the fundamentals of quantum mechanical theory. Time-permitting, we will explore specific applications to quantum harmonic oscillators and/or quantum angular momentum.