Quantum Mechanical Derivation of the Wallis Formula for $\pi$

Abstract

A famous pre-Newtonian formula for $\pi$ 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.

4 pages; to appear in J. Math. Phys.; v2: minor typo fixed

References in corpus (2)

• Quantum Mechanical Derivation of the Wallis Formula for $\pi$
• Group-Theoretical Derivation of Angular Momentum Eigenvalues in Spaces of Arbitrary Dimensions

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• The Hydrogen Atom, Pi and Lerch's Transcendent
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