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Scalar density integral

  1. Sep 27, 2015 #1
    hi!

    i need to solve this integral:

    [itex]\rho_s=\int (m/\omega)e^{-\omega/T}d{\vec k}[/itex]
    where [itex]\omega=\sqrt{m^2+{\vec k}}[/itex] is the dispersion relation, T is the temperature of the system and m the mass of a particle

    Thank you!
     
  2. jcsd
  3. Sep 27, 2015 #2

    mfb

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    How do you add a scalar to a vector?

    If k would be a scalar, the derivative of ##e^{-\omega / T}## looks promising.
     
  4. Sep 28, 2015 #3
    Sorry! I was wrong!

    [itex] \omega = \sqrt{m^2 + \vec{k}^2} [/itex]

    However, i still can't solve it.
     
  5. Sep 28, 2015 #4

    mfb

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    Staff: Mentor

    Did you try spherical coordinates?
     
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