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Once upon a time, in a small town, there were two carpenters: Bob and Tom. Bob was an honest, hardworking carpenter with a good …
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I’m reading a book that deals with the history of probability theory (Classic Problems of Probability by Prakash Gorroochurn). It …
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I recently came across a surprising connection between the geometric mean and logarithms. At least, it was surprising to me, but …
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In a previous post, I said that an appropriate purgatory for physicists would be to have them read all of the words ever written on the …
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In my last post, I discussed the geometric mean and how it relates to the more familiar arithmetic mean. I mentioned that the geometric …
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Given two positive numbers \(a\) and \(b\), the most well-known way to average them is to take the sum divided by two. This is often …
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I was recently flipping through a real analysis textbook, and came across a notation that I had not seen before. First, the set …
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###Probability Current in Quantum Mechanics In nonrelativistic 1D quantum mechanics, consider the probability of finding a particle in …
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I am teaching undergraduate quantum mechanics for the first time this semester. One thing I have discovered is that it is very easy to …
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