Dirac delta function with contineous set of zeros

[klabautermann]

hi!

i have a question regarding the delta function. if i have a delta distribution with an argument that is a function of multiple arguments, somthimg like:

∫δ(E-$p^{2}_{i}$/2m)$dp^{N}$, ranging over +-∞

now, the argument of the delta function vanishes on a sphere. i can evaluate the integral by changing to spherical coordinates, but in general is there a similar method to evaluate something like this as in the case of discrete zeros? my question is in the context of statistical mechanics.

thanks!

 

[Rap]

hi!

i have a question regarding the delta function. if i have a delta distribution with an argument that is a function of multiple arguments, somthimg like:

∫δ(E-$p^{2}_{i}$/2m)$dp^{N}$, ranging over +-∞

now, the argument of the delta function vanishes on a sphere. i can evaluate the integral by changing to spherical coordinates, but in general is there a similar method to evaluate something like this as in the case of discrete zeros? my question is in the context of statistical mechanics.

thanks!

Check out http://en.wikipedia.org/wiki/Dirac_delta_function#Composition_with_a_function