Mathematics Colloquia and Seminars
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Tensor Products, Reducibility, and Quantum MechanicsStudent-Run Applied & Math Seminar
|Speaker: ||Patrick Dragon, UC Davis|
|Location: ||1147 MSB|
|Start time: ||Wed, Feb 9 2011, 12:10PM|
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.