Question: Chemical Engineering thermodynamics (statistical) = 12.1. We consider a free gas of spin 1/2 fermions in a finite volume V = L with periodic boundary

Chemical Engineering thermodynamics (statistical)
= 12.1. We consider a free gas of spin 1/2 fermions in a finite volume V = L with periodic boundary conditions. This implies the constraints 2 ki = -Ni, N; EZ L on the components of the wave vector. Our fermion gas contains N 1 particles, and we assume it to be in the state of minimal energy. How large is the maximal momentum pf = ky (the Fermi momentum) in the fermi gas? You have to take into account that only two fermions can have the same momentum
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