The evolution of quantum mechanics has continuously deepened our understanding of the microcosm, guiding researchers from the seminal formulation of the Schrödinger equation to more refined ...

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 ...

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 ...

Quantum mechanics is one of the most successful theories in science — and makes much of modern life possible. Technologies ranging from computer chips to medical-imaging machines rely on the ...

Although Navier–Stokes equations are the foundation of modern hydrodynamics, adapting them to quantum systems has so far been ...

As Joe Howlett points out, "the Schrödinger equation remains physicists’ foremost window into the quantum realm. It tells scientists how that strange world works; that is, how quantum objects interact ...

For over 100 years, two theories have shaped our understanding of the universe: quantum mechanics and Einstein’s general relativity. One explains the tiny world of particles; the other describes ...

Proposals offering alternatives to Einstein’s relativistic theory of gravitation are almost as old as the theory itself. Einstein even saw them as the beginning of a path that could lead to quantum ...

In commemoration of the 100th anniversary of modern quantum mechanics, a survey asked physicists for their takes on some hot questions in quantum theory. Reading time 4 minutes In July 1925—exactly a ...