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Math Help - Strange Integral Notation

  1. #1
    Member Mentia's Avatar
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    Strange Integral Notation

    Hi folks, I am having some trouble with an integral involving a delta function. I have been working with calculus for many years and have never seen the particular notation given in the following integral, I am quite confused by the d^{3}k.

    2\int \frac{d^{3}k}{(2 \pi  )^{3}}\delta \left ( E-\frac{\hbar^{2}k^{2}}{2m} \right )= \frac{1}{2 \pi ^{2}}\left ( \frac{2m}{\hbar ^{2}} \right )^{3/2} \sqrt[]{E}\Theta \left ( E \right )

    Notice this is an integral over the dirac delta function and it spits out a unit step function (Theta).

    Can someone please explain what it means by d^{3}k and perhaps a few steps between the integral and the solution? Thanks.
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  2. #2
    Senior Member
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    This notation is frequently used in physics. the dk just means dkdkdk so it's a triple integral. Unfortunately i don't know how to helo you with the evaluation.
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