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.
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