Quantum mechanical derivation of the Wallis formula for π
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.
- Publication:
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Journal of Mathematical Physics
- Pub Date:
- November 2015
- DOI:
- arXiv:
- arXiv:1510.07813
- Bibcode:
- 2015JMP....56k2101F
- Keywords:
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- Mathematical Physics;
- Mathematics - Number Theory;
- Quantum Physics
- E-Print:
- 4 pages