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How can i solve this multiple Integral?

  1. Feb 15, 2016 #1
    For a bidimensional system of N particles, the hamiltonian of pair-interaction is:
    where K is the kinetic (translational) energy and U is the potential energy
    i want to solve this multiple integral:
    But the pair-potential depends on positions, and momentums as well:
    where τ0 and κ are parameters and [tex]τ=τ(\vec{q}_{12};\vec{p}_{12})[/tex]
    is a function that depends on relative positions and relative momentums.
    how could i solve this horrible integral? i don't need an analytical solution, a numerical solution with any software like SAGE or Mathematica is fine.
  2. jcsd
  3. Feb 16, 2016 #2


    Staff: Mentor

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