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"That a formula for π is hidden inside the quantum mechanics of the hydrogen atom is surprising and delightful."

There's a Hidden Connection Between Pi and Quantum Mechanics

Lewis Hamilton. Formula 1. Mercedes-Benz

For the first time, scientists have discovered a classic formula for pi in the world of quantum physics. Pi is the ratio between a circle's circumference and its diameter, and is incredibly important in pure mathematics, but now scientists have...

For the first time, scientists have discovered a classic formula for pi in the world of quantum physics. Pi is the ratio between a circle's circumference and its diameter, and is incredibly important in pure mathematics, but now scientists have...

Scientists, for the first time ever, have discovered a classic formula for pi hiding in the world of quantum physics. Everybody is familiar with the word pi. It is the ratio among a circle's circumference and its diameter, and is extremely vital in pure mathematics, but now researchers have also found it "lurking" in the world of quantum physics, while using quantum mechanics to compare the energy levels of a hydrogen atom. So why is that even exciting?

In 1655 the English mathematician John Wallis published a book in which he derived a formula for pi as the product of an infinite series of ratios. Now researchers from the University of Rochester, in a surprise discovery, have found the same formula in quantum mechanical calculations of the energy levels of a hydrogen atom.

Two scientists were surprised to find pi lurking in a quantum mechanics formula for the energy states of the hydrogen atom.

A pair of quantum scientists calculating the energy levels of a hydrogen atom at the University of Rochester have discovered a 360-year-old formula for pi in their equations.