Euler’s reflection formula, infinite product formulas, and the correspondence principle of quantum mechanics
DOI10.1063/5.0030945zbMath1467.81098arXiv2103.07896OpenAlexW3166092483WikidataQ113854253 ScholiaQ113854253MaRDI QIDQ5000219
Publication date: 9 July 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.07896
General topics in linear spectral theory for PDEs (35P05) Variational methods applied to PDEs (35A15) Gamma, beta and polygamma functions (33B15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Convergence and divergence of infinite products (40A20)
Related Items (1)
Cites Work
- Unnamed Item
- Wallis's product, Brouncker's continued fraction, and Leibniz's series
- On the quantum mechanical derivation of the Wallis formula for \textit{ {\(\pi\)}}
- Wallis formula from the harmonic oscillator
- Two great theorems of Lord Brouncker and his formula \(b(s-1)b(s+1) = s^2\), \(b(s)= s + { \frac{1^2}{2s+{\frac{3^2}{2s + {\frac{5^2}{2s+{}_{\ddots}}}}}} }\)
- Group-theoretical derivation of angular momentum eigenvalues in spaces of arbitrary dimensions
- New Wallis- and Catalan-Type Infinite Products for α, <em>e</em> and
- Quantum mechanical derivation of the Wallis formula for π
- Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind
This page was built for publication: Euler’s reflection formula, infinite product formulas, and the correspondence principle of quantum mechanics