Quantum mechanical derivation of the Wallis formula for π

DOI10.1063/1.4930800zbMath1334.11093arXiv1510.07813OpenAlexW2149348084WikidataQ28314953 ScholiaQ28314953MaRDI QIDQ3457153

Tamar Friedmann, C. R. Hagen

Publication date: 10 December 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07813

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Miscellaneous applications of number theory (11Z05) Approximation to limiting values (summation of series, etc.) (40A25) Evaluation of number-theoretic constants (11Y60)

Related Items (7)

On the quantum mechanical derivation of the Wallis formula for \textit{ {\(\pi\)}} ⋮ Quantum solution of coupled harmonic oscillator systems beyond normal coordinates ⋮ Constructible Pi and Other Block-Based Adventures in Geometry ⋮ Taking Physical Infinity Seriously ⋮ Wallis formula from the harmonic oscillator ⋮ Euler’s reflection formula, infinite product formulas, and the correspondence principle of quantum mechanics ⋮ Basic asymptotic estimates for powers of Wallis’ ratios

Cites Work

• Unnamed Item
• Unnamed Item
• Group-theoretical derivation of angular momentum eigenvalues in spaces of arbitrary dimensions
• A Probabilistic Proof of Wallis's Formula for π

This page was built for publication: Quantum mechanical derivation of the Wallis formula for π