# Tag: research finding

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

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.

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

[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.

## There’s a hidden connection between pi and quantum mechanics

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.”

## Scientists look into hydrogen atom, find old recipe for pi

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.

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

While most people associate the mathematical constant π (pi) with arcs and circles, mathematicians are accustomed to seeing it in a variety of fields. But two University scientists were still surprised to find it lurking in a quantum mechanics formula for the energy states of the hydrogen atom.

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

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.

## UR laser lab eyes military, energy uses

Imagine if your car were made of a material that could repel rain, the droplets bouncing and flying away before they could start to rust your hood or freeze to the roof.

## Can ‘superhydrophobic’ material end de-icing, scraping car windshields in winter?

Most Upstate New York residents keep a snow and ice scraper in their car six months out of the year. But could that become a relic of the past someday?

## What ‘drives’ curiosity research?

Scientists have been studying curiosity since the 19th century, but combining techniques from several fields now makes it possible for the first time to study it with full scientific rigor, according to the authors of a new paper.

## Study: Brain’s immune system could be harnessed to fight Alzheimer’s

When activated to fight inflammation, the brain’s immune system plays a role in the removal of amyloid beta, which scientists believe play a major role in the disease.