Several years ago one of us, Toni, asked another of us, Marco, to come to his office at the Institute of Photonic Sciences, a large research center in Castelldefels near Barcelona. “There is a problem ...

The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, connects quantum mechanics to infinitely intricate mathematical structures. Hofstadter was ...

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 ...