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I am solving a problem for N classic harmonic oscillators. I have the Hamiltonian

H = sum(i=1,3N)(p_i^2/(2m) + m*o^2/2 *q_i^2

where p is momentum and q I presume is scaled coordinates. I am given the following hint that the volume in phase space can be written as

V(E,N) = int(H < E) product(i=1,3N) dp_i dq_i

I can solve the exercise and get the right result but I don't understand how one has determined the volume element as written above. Could any one give me any hints or advise - I have tried looking but no results. Thanks in advance

Best

J

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# Homework Help: Volume element in phase space

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