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Title: Quantum mechanical derivation of the Wallis formula for π

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.
Authors:
 [1] ;  [2]
  1. Department of Mathematics and Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627 (United States)
  2. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627 (United States)
Publication Date:
OSTI Identifier:
22479553
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 11; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMS; QUANTUM MECHANICS; SPACE; SPECTRA; VARIATIONAL METHODS