Tag: Carl Hagen
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.
[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.
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.”
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.
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.
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.
July 4, 2012, was an historic day for researchers at CERN. It also marked an important period at the University of Rochester as three physicists and an engineer helped support the nearly five-decades-old theory of one of their colleagues.