Math Methods in Physics Lecture 3: Linear Transformations/Operators, Inverses, Matrix Realizations

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Lecture from 2020 graduate level course in mathematical methods in physics at Colorado School of Mines. You can follow along at:
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Reminds me of the difference between the Heisenberg and the Schrödinger pictures, where you allow the operators to change in the first and the states to change in the second.

grayjphys