Casimir Effect, what does (x,θ) mean?

[epislon58]

Hello look at (3.24). Above it, it states "We make the same switch to polar coordinates (x, φ) in the (x, y) plane, and substitute y ≡
(ax/nπ):"

Should (x, φ) be (r, φ)? Is this a typo?

Thank you.

http://aphyr.com/data/journals/113/comps.pdf

 

[Bill_K]

Hello look at (3.24). Above it, it states "We make the same switch to polar coordinates (x, φ) in the (x, y) plane, and substitute y ≡
(ax/nπ):"

Note he says the same switch. That's a clue, isn't it, that earlier in the paper he did the same thing?

I believe you'll find that in both places what he did was change to polar coordinates (x, y) → (r, φ) and then call the radial coordinate x.

 

[epislon58]

thanks