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Tag: Carl Hagen

Classic formula for ‘pi’ connects pure math and quantum mechanics like a ‘magic trick’

Classic formula for ‘pi’ connects pure math and quantum mechanics like a ‘magic trick’

November 24, 2015

Oddly enough, but not that surprising considering the prevalence of pi in nature, researchers from the University of Rochester reached the same formula while they were computing the quantum mechanical energy stats of hydrogen.

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Revealing the hidden connection between pi and Bohr’s hydrogen model

Revealing the hidden connection between pi and Bohr’s hydrogen model

November 17, 2015

[Carl] Hagen turned to his colleague, mathematics professor Tamar Friedmann, who found that they could derive Wallis’s infinite product from the ratio of the approximate energies to the exact energies.

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There’s a hidden connection between pi and quantum mechanics

There’s a hidden connection between pi and quantum mechanics

November 16, 2015

Physicists have uncovered a hidden connection between a famous 350-year-old mathematical formula for pi, everyone’s favourite irrational number, and quantum mechanics. At least one mathematician has pronounced the discovery “a cunning piece of magic.”

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Scientists look into hydrogen atom, find old recipe for pi

Scientists look into hydrogen atom, find old recipe for pi

November 11, 2015

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.

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Everything you ever wanted to know about pi, part 2: how pi connects to quantum mechanics

Everything you ever wanted to know about pi, part 2: how pi connects to quantum mechanics

November 10, 2015

I had planned for part 2 of this series about p to be about the classical area formula for the circle, but then something new came up. Well, by new I mean a new proof of something old, and it’s a surprising proof using physics.

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Discovery of classic pi formula a ‘cunning piece of magic’

Discovery of classic pi formula a ‘cunning piece of magic’

November 10, 2015

When most people think about pi, they associate the mathematical constant with arcs and circles. Mathematicians, however, are accustomed to seeing it in a variety of fields. But two University physicists were still surprised to find it lurking in a quantum mechanics formula for the energy states of the hydrogen atom.

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