Quantum Mechanical Derivation of the Wallis Formula for π

Authors

Tamar Friedmann, University of RochesterFollow
C. R. Hagen, University of Rochester

Document Type

Article

Publication Date

8-2015

Publication Title

Journal of Mathematical Physics

Abstract

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.

Volume

56

Issue

11

DOI

doi.org/10.1063/1.4930800

Rights

© the authors

Comments

Peer reviewed accepted manuscript.

Recommended Citation

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.
https://scholarworks.smith.edu/mth_facpubs/73