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I've seen this problem before... might be able to check my old thermo notes tomorrow. Too tired to think it through from scratch tonight.
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I haven't done stat mech or thermo in a few years so forgive me if I make a mistake.
First glance - N! divided by two other factorials makes me immediately think binomial distribution, and that fits the question of counting states (N choose R = N!/(R!*(N-R)!))
The delE/(2*mu*B) term in the answer combined with delE>>mu*B reminds me of a certain condition (approximation?) used in stat mech. can't remember the name - sorry. but if delE>>2*mu*B there's a derivative relationship I'd have to look up.
Total number of particles N = n1+n2
Rewrite equation for E in terms of n1 or n2 - solution makes me think it'd also be helpful to rewrite it as an equation for n1 or n2 (one or the other - I don't think you have to do both. could be wrong).
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I like how it says "by abusing algebra". Pity thermodynamics is not my cup of tea... no not at all, and this math is a little beyond me.
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[quote=VerrKol]Looks right to me. Sorry I couldn't actually help, got stuck with my own Nuc [URL=
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Heh, I'm surprised anyone bothered to reply to this thread and that I actually logged in in a somewhat timely fashion.
I don't have any great recommendations for standard Nuclear Physics undergrad. I don't think either course I took in it even had a required textbook. I did find Georgia State's hyperphysics website to be a very useful general resource and remember using it occasionally for Nuclear Physics.
Is this undergrad or graduate level? General overview course or something more specialized?
I ended up getting heavily into detectors and radiation effects on electronics, but only learned the general requirements for nuclear physics and reactors.