O número Pi encontrado escondido no átomo de hidrogênio?

domingo, janeiro 03, 2016

Quantum mechanical derivation of the Wallis formula for π

Tamar Friedmann 1,a) and C. R. Hagen 2,b)

1 Department of Mathematics and Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA

2 Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA

a) Email address: tfriedma@ur.rochester.edu

b) Email address: hagen@pas.rochester.edu

J. Math. Phys. 56, 112101 (2015);


Abstract

A famous pre-Newtonian formula for π 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.