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Researchers,
for the first time ever, have found a classic formula for pi concealed in the
world of quantum physics. Everybody is aware of the word pi. It is the ratio
among a circle's circumference and its diameter, and is very vital in pure mathematics,
but now scientists have also discovered it "lurking" in the world of
quantum physics, while using quantum mechanics to link the energy levels of a
hydrogen atom. So why is that even exciting? Well, it reveals an exceedingly
special and previously unknown connection among quantum physics and
mathematics. It is quite interesting that a purely mathematical formula from
the early 17th century portrays a physical system that was discovered 300 years
later.

Carl
Hagen, a particle physicist presently working at the University of Rochester, found
this interesting connection while coaching a class on quantum mechanics and
clarifying to his pupils how to utilize a quantum mechanical method identified
as the 'variation principle' to estimate the energy states of a hydrogen atom.
So while comparing these values to conventional calculations, Carl Hagen
noticed a rare trend in the ratios. So he asked Friedmann to help him work out
this trend, and they rapidly understood that it was fundamentally an appearance
of the Wallis formula for pi – the first time it had even been in fact derived
from physics.

Since
1655 there have been lots of confirmations of Wallis's formula, but they all
have come from the territory of mathematics, and the new conclusions have
people stunned. The results have been issued in the

**Journal of MathematicalPhysics**.
Two
pages from Wallis's book Arithmetica Infinitorum Digitised by Google

Maths contributor Kevin Knudson for Forbes, wrote "This almost looks like magic. That a formula for π is hidden inside the quantum mechanics of the hydrogen atom is surprising and delightful."

“Nature had kept this secret for the last 80 years. I'm glad we revealed it." said Friedmann.

We just
can't help but wonder what other secret links are prowling between quantum
mechanics and pure mathematics.

This post was written by Usman Abrar. To contact the
writer write to iamusamn93@gmail.com.
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