On the quantum mechanical derivation of the Wallis formula for π

O. I. Chashchina, Z. K. Silagadze

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We comment on the Friedmann and Hagen's quantum mechanical derivation of the Wallis formula for π. In particular, we demonstrate that not only the Gaussian trial function, used by Friedmann and Hagen, but also the Lorentz trial function can be used to get the Wallis formula. The anatomy of the integrals leading to the appearance of the Wallis ratio is carefully revealed.

Original languageEnglish
Pages (from-to)2593-2597
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume381
Issue number32
DOIs
Publication statusPublished - 28 Aug 2017

Keywords

  • Variational methods in quantum mechanics
  • Wallis formula
  • INEQUALITIES

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