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Given what we discussed in class today (Mon), focus on questions which may arise from sections 2 to 4. Yuichi.
Page 65 Griffiths shows how to calculate the group velocity for wave function made up of many frequencies. It seems to me that the shape of the wave would change (different freq. would travel at different velocities) if the higher order derivatives of the frequency were non zero, am I interpreting this correctly?
One issue concerning quantum mechanics has always bothered me. Why was is a wave model assumed for quantum events? Is this solely in attempt to match experimental observation? Wave mechanics is still classical in foundation quantum happenings seem to be in a completely scheme than classical events, which is the source of my discontent. Have other models been successfully applied to quantum mechanics?
I don't quite understand how Griffith went from equation [2.2] to equation [2.3]. Can someone add some mathematical commentary to the separation of variables steps?
What exactly is a stationary state? They talk a little bit about it on page 26 of Griffiths…Is it just every solution of the time independent solution to the Sch. Eqn.?