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Consider a system of three harmonic oscillators (shos), each with possible energies 0, 1ε, 2ε, 3ε, ... 1) what is the number of microstates for total energy u = 3ε ? number =

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Mindaka
To find the number of microstates means to find in how many ways you can distribute M quanta of energy in N oscillators. This is given by a binomial distribution:
         M + N - 1
Ω =  (               ) =  [tex] \frac{(M + N - 1)!}{(N - 1)! M!} [/tex]
               M

In your case: N = 3 and M = 3, therefore:

Ω = 5! / (2! 3!) = 10


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