When scientists unwittingly turned helium into a superfluid — a feat many thought was impossible — Dr. Leggett not only recognized what had happened but also explained how.

More than a century before quantum mechanics was born, Irish mathematician William Rowan Hamilton stumbled onto an idea that would quietly foreshadow one of the deepest truths in physics. While ...

Her work explores how new AI technology is infiltrating our lives, shaping the content we consume on social media and affecting the people behind the screens. She graduated from the University of ...

A State College-area high school student will return home from spring break with a major research prize under his belt.

Born in Brooklyn in 1942, Freed’s scientific trajectory began early; he and his brother Jack, who himself would go on to ...

HHS students competed recently in the annual SCA Math & Science Relays. Junior Kane Crawford had a pair of 1st-place finishes in Advanced Chemistry and Trigonometry. He finished 2nd in Physics. Click ...

Like physics, math has its own set of “fundamental particles”—the prime numbers, which can’t be broken down into smaller ...

ABSTRACT: We investigate bounded linear operators on separable Hilbert spaces and their convergence properties. We provide connections between uniform, strong, and weak convergence modes and interpret ...

We study briefly some properties of real Clifford algebras and identify them as matrix algebras. We then show that the representation space on which Clifford algebras act are spinors and we study in ...

Some advantages of the algebraic approach to many body physics, based on resolvent algebras, are illustrated by the simple example of non-interacting bosons that are confined in compact regions with ...

ABSTRACT: We establish quantum circuit complexity as a fundamental physical observable and prove that it satisfies an uncertainty relation with energy, analogous to Heisenberg’s canonical uncertainty ...