- #1

romeo6

- 54

- 0

I have a volume integral in 3D phase space that looks like:

[tex]\int \frac{4\pi p^2 dp}{h^3}

[/tex]

Now, I want to generalize to N dimensions. How does this look:

[tex]\int \frac{\frac{2\pi^{d/2}}{\Gamma(\frac{d}{2})}p^N dp}{N!h^{3N}}

[/tex]

Essentially, I've changed the 4 pi (which I think is the volume of a 2 sphere) into a generalized volume for an N sphere, and made some changes in the powers.

how does this look?