Question

Four bosons are distributed in a sheet of 5 states . The number of microstates ( ways ) is
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Answer 1

In the previous parts of this course, we derived the Boltzmann

distribution, which described how the number of distinguishable

particles in different energy states varied with the energy of

those states, at different temperatures:

nj =

N

Z

e

−

εj

kT . (1)

However, in systems consisting of collections of identical

fermions or identical bosons, the wave function of the system

has to be either antisymmetric (for fermions) or symmetric (for

bosons) under interchange of any two particles. With the

allowed wave functions, it is no longer possible to identify a

particular particle with a particular energy state. Instead, all

the particles are “shared” between the occupied states.