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Homework Help: Volume element in phase space

  1. Oct 20, 2008 #1
    Hi all,

    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


  2. jcsd
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