- #1
jorgen
- 14
- 0
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 anyone give me any hints or advise - I have tried looking but no results. Thanks in advance
Best
J
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 anyone give me any hints or advise - I have tried looking but no results. Thanks in advance
Best
J