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HomeworkHelpSessionsNotes - PHYS 3220 Fall 2008...

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PHYS 3220 – Fall 2008 Observations from Homework Help Sessions These notes are completely raw and unprocessed. It is unlikely they will be of much use, unless you are working on modifying or developing problems and want some sense of where our students struggled. Future updates of these course resources will likely contain our "synthesis" of these notes, rather than this core dump of information [email protected]
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Homework #2 – Due 09/03/2008 No HW Help on 09/01/2008 (Labor Day) NOTES FROM STEVE P — 09/02/2008 I was there for the 2nd half of the session, it seemed that I got far fewer questions than I was expecting, mostly I just hung out while they worked. Question 1, statistics of discrete distribution: I saw almost no questions on this. One student wanted to know why his probability of finding an object between <L>+sigma and <L>-sigma was NOT closer to the exact result predicted by his statistics book, indeed he wondered if you should "round" sigma to the nearest integer (since the bins come in integer chunks), which would also have moved that probability closer to what he expected. Question 2, classical probability distrubition: I got almost no questions on this. One student struggled with the fact that his rho(x) was coming out negative (he had chosen a coordinate system for which dx/dt was negative). He also was having difficulty getting to v(x), starting not from energy arguments but the equation of motion (though he did work it out) Question 3, the Bohr model: Here I saw the most questions. Many students were reading their old 2170 book, some could not find the explicit statement of the assumptions of the Bohr model (Knight, e.g., does not explicitly state quantization of angular momentum! (It's more a "discussion of" than the real details behind the model) Part c generated the most questions, there was a lot of discussion about what was meant by "classical frequency of motion". One student was bothered by the fact that we USED the Bohr radii (quantized by "n") to find the "classical frequency", which didn't seem purely classical to him. Several people did not understand what we were comparing for this correspondence principle, or how the result was showing a quantum-classical connection. Several people had no idea why you might expect the classical radiation to have a frequency at (or centered on) the classical rotation frequency. Question 4, on normalization, probability interpretation, and partial differentiation: Again I saw very few questions. Some students were struggling with the algebra in part d (just small careless errors, usually), and there was a little distress about not being able to do part c (the numerical integration) analytically. I saw two sketches of the Gaussian which looked like a simple exponential on both sides (with a cusp in the middle, basically like exp(-|x|).
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HomeworkHelpSessionsNotes - PHYS 3220 Fall 2008...

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