A newly derived “q-desic” equation suggests that quantum effects may subtly alter particle trajectories across the universe.

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 ...

Physicists have long struggled to unite quantum mechanics—the theory governing tiny particles—with Einstein’s theory of ...

The study of quantum dynamics in conjunction with nonlinear Schrödinger equations (NLS) sits at the confluence of mathematical physics, quantum mechanics and nonlinear analysis. This field ...

Although Navier–Stokes equations are the foundation of modern hydrodynamics, adapting them to quantum systems has so far been a major challenge. Researchers from the Faculty of Physics at the ...

A multinational team of physicists used artificial intelligence (AI) to condense a tremendously complicated quantum problem, which originally required solving over 100,000 equations into only four, ...

The motions of undulating animals and the states of quantum objects can be described using strikingly similar equations. Alexander Cohen at the Massachusetts Institute of Technology and his colleagues ...

At first glance, the Fibonacci sequence might seem like no more than a bit of mathematical trickery. But look around, and it pops up again and again and again, in computer science and in nature. It’s ...