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A system has temperature 290 K and chemical potential −0.2 eV. For a certain quantum state in this system, the energy per particle is −0.16 eV, and any number of particles (bosons) may occupy it
(a) What is the value of C in the probability formula Pn = Ce−nβ(ε−µ) (to three decimal places)?
(b) What is the probability that this quantum state contains zero particles?
(c) What is the probability that this quantum state contains one particle? (1 + x + x2 + x3 +···= 1/(1 − x).)
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