Quantum mechanical derivation of the Wallis formula for π
Abstract
A famous preNewtonian 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.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 November 2015
 DOI:
 10.1063/1.4930800
 arXiv:
 arXiv:1510.07813
 Bibcode:
 2015JMP....56k2101F
 Keywords:

 Mathematical Physics;
 Mathematics  Number Theory;
 Quantum Physics
 EPrint:
 4 pages