arXiv:1510.07813math-ph2015-10-27

Quantum Mechanical Derivation of the Wallis Formula for $π$

Tamar Friedmann, C. R. Hagen

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.

arXiv comments: 4 pages; to appear in J. Math. Phys.; v2: minor typo fixed
Journal reference: J. Math. Phys. 56, 112101 (2015)
DOI: doi:10.1063/1.4930800
Subjects: math-phMathematical Physics math.NTNumber Theory quant-phQuantum Physics

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The formula for pi buried in a hydrogen atom Apr 20202 comments
- The preprint is on arxiv too: https://arxiv.org/pdf/1510.07813.pdf
  
  rrssApr 12, 2020View on HN Parent context
- Routine reminder: please link to arXiv abstract pages, rather than directly to PDFs. https://arxiv.org/abs/1510.07813
  
  JadeNBApr 12, 2020View on HN Parent context

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