Journal of Mathematical Physics
A famous pre-Newtonian formula for π is obtained directly from the variational approach to the spectrum of the hydrogen atom in spaces of arbitrary dimensions greater than one, including the physical three dimensions.
© the authors
Friedmann, Tamar and Hagen, C. R., "Quantum Mechanical Derivation of the Wallis Formula for π" (2015). Mathematics and Statistics: Faculty Publications, Smith College, Northampton, MA.