Recent content by dimwatt

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    Mathematica Collecting terms in mathematica

    Hi Bill! Sorry I should have been much more specific. Each term in my expression involves several products in their denominators, and of those terms, some of them have poles like (x-1) and (y-1) and sometimes both, like N/(x+1)(y+1)(x-1)... for example (this is a multi-dimensional integral)...
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    Mathematica Collecting terms in mathematica

    I have an integrand with a handful of terms, and some of them have poles in the denominator of the form (x+c) (but not all). There are three poles in total, and I want to collect all the terms according to each pole individually (eg all the terms with (x-1) in the denominator, (x-5), etc.)...
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    Pauli exclusion regarding nucleons

    I think this is more or less a quick question. So deuteron (pn) is an isosinglet in the state |00> =\frac{1}{\sqrt{2}}(pn-np) since it cannot be part of the isotriplet that includes pp and nn, since these violate pauli exclusion. That's fine. So how is it that we can have atoms like...
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    Why do bound systems have less rest mass than the sum of its parts?

    True but whether or not the particles "came together" no energy escaped the box, so it would have the same mass. One way we could tell is by opening the box and finding out if it weighs less than it did before opening, in which case the binding energy escaped in the form of heat or radiation or...
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    Why do bound systems have less rest mass than the sum of its parts?

    Hi PF. This a fact well aware to just about anyone that has had even basic chemistry, but I'm having a hard time coming to an understanding as to why this must be true. So why? Also, if I knew that some box contained, say, a proton and an electron, could I ever know whether or not, inside...
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    Advice for Adam: Physics Books for a Junior Major

    Hey I'm in your exact position as an up and coming junior majoring in physics. I have also had a tough time finding books that are aimed at my curiosities, while appealing to my level of understanding. I haven't had much success, but, if you ever feel like reading something intriguing that isn't...
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    Principle of Least Action via Finite-Difference Method

    Sorry missed that. That should read F_x=\frac{d p_x}{dt}
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    Principle of Least Action via Finite-Difference Method

    The argument for the stationary action principle is subtle, albeit powerful. I'm sure there might be some way to derive it independent of Newton's Laws, however this particular argument does use it, but it's still illuminating, in my opinion at least. If you begin by defining L = T-V, with V...
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