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Does anybody know what the connection is between Wallis' formula for ##\pi## and quantum mechanics? There was an article about it:
https://www.eurekalert.org/pub_releases/2015-11/aiop-ndo110915.php
but like all articles for the lay public, all the details were left out.
Wallis' formula is:
##\frac{\pi}{2} = \frac{2}{1} \cdot \frac{2}{3} \cdot \frac{4}{3} \cdot \frac{4}{5} ...##
I've always thought there should be a geometric proof of this, say approximating a semicircle by rectangles of some sort, but the proofs I've seen are analytic.
https://www.eurekalert.org/pub_releases/2015-11/aiop-ndo110915.php
but like all articles for the lay public, all the details were left out.
Wallis' formula is:
##\frac{\pi}{2} = \frac{2}{1} \cdot \frac{2}{3} \cdot \frac{4}{3} \cdot \frac{4}{5} ...##
I've always thought there should be a geometric proof of this, say approximating a semicircle by rectangles of some sort, but the proofs I've seen are analytic.