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Quantum Field Theory for Leg Spinners Lecture Notes 2: Review of Quantum Mechanics 1 Basic Elements of Quantum Mechanics 1.1 Tensor Product

This lecture will briefly review some of the basic concepts of quantum mechanics, with special emphasis on the problems arising from infinite-dimensional spaces. In introductory courses of quantum mechanics these issues are often swept under the rug to keep the mathematics simple. Also, much of the categorical language developed here in Oxford is suited only for finite-dimensional spaces. However, being on our way to Quantum Field Theory, it is important to notice the differences and the problems they cause.