"Lec 4 -Commutators and Time Evolution (the Time Dependent Schrodinger Equation)"In this series of physics lectures, Professor J.J. Binney explains how probabilities are obtained from quantum amplitudes, why they give rise to quantum interference, the concept of a complete set of amplitudes and how this defines a "quantum state". Notes and problem sets here http://www-thphys.physics.ox.ac.uk/people/JamesBinney/lectures.html
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