How can temperature affect a single electron system?
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When reading about the canonical ensemble once in a Statistical Physics book, the author stated that the important thing is that we have a system AA in contact with a much greater system A′A′. The much greater system is the one with temperature TT and one then derives the probability distribution for system AA as
pi=1Ze−βEi,pi=1Ze−βEi,
being pipi the probability that AiAi is in the ii-th microstate with energy EiEi and Z=∑ie−βEiZ=∑ie−βEi is the partition function with kBTβ=1kBTβ=1.
Now the author states that the system AA couldeven be a single electron or single atom.
pi=1Ze−βEi,pi=1Ze−βEi,
being pipi the probability that AiAi is in the ii-th microstate with energy EiEi and Z=∑ie−βEiZ=∑ie−βEi is the partition function with kBTβ=1kBTβ=1.
Now the author states that the system AA couldeven be a single electron or single atom.
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