While most people associate the mathematical constant π (pi) with arcs and circles, mathematicians are accustomed to seeing it in a variety of fields. Two University of Rochester scientists have found it lurking in a quantum mechanics formula for the energy states of the hydrogen atom.
"We found the classic 17th century Wallis formula for pi, making us the first to derive it from physics, in general, and quantum mechanics, in particular," said Tamar Friedmann, a visiting assistant professor of mathematics and a research associate of high energy physics, and co-author of a paper published this week in the Journal of Mathematical Physics.