Quantum Mechanical Derivation of the Wallis Formula for $Ï$
arXiv:1510.07813 · doi:10.1063/1.4930800
Abstract
A famous pre-Newtonian formula for $Ï$ 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.
4 pages; to appear in J. Math. Phys.; v2: minor typo fixed