The course aims to give a brief and self-contained introduction to the mathematical methods of quantum mechanics. Although the materials are related to physics, they are presented in a more ...

Quantum theory is often sold as a story about tiny particles, but its real disruption lands squarely on our everyday sense of ...

Enormous disks of stars or debris can operate under the same rules as subatomic particles, changing based on the Schrodinger equation, which physicists use to model quantum-mechanical systems. Viewing ...

Physicists have transformed a decades-old technique for simplifying quantum equations into a reusable, user-friendly ...

The laws of physics imply that the passage of time is an illusion. To avoid this conclusion, we might have to rethink the reality of infinitely precise numbers. Strangely, although we feel as if we ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Encryption—the process of sending a scrambled message that only the intended recipient’s device can decode—allows private and public sectors alike to safeguard information. Traditional encryption uses ...

BIG THINGS HAPPEN when computers get smaller. Or faster. And quantum computing is about chasing perhaps the biggest performance boost in the history of technology. The basic idea is to smash some ...

Using the Schrodinger equation, physicists can interpret the interactions of systems on atomic and subatomic scales in terms of waves as well as particles — a key concept in quantum mechanics that ...