Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255787 | Journal of Geometry and Physics | 2018 | 6 Pages |
Abstract
We show that the asymptotic formula for Ï, the Wallis formula, that was related with quantum mechanics and the hydrogen atom in Friedmann and Hagen (2015) can also be related to the harmonic oscillator using a quantum duality that relate these two systems. As a corollary we show that this very interesting asymptotic formula is not related with the hydrogen atom or quantum mechanics itself but with a clever choice of a trial function and a potential in the Schroedinger equation when we use the variational approach to calculate the ground state energy associated with the given potential function.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ignacio Cortese, J. Antonio GarcÃa,