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 ...

It has long been a mystery why pure math can reveal so much about the nature of the physical world. Antimatter was discovered in Paul Dirac’s equations before being detected in cosmic rays. Quarks ...

For instance, one of the biggest puzzles in physics is the black hole information paradox. In the 1970s, Stephen Hawking ...

Physicists are quietly advancing a radical idea: time might not be a single, thin line but a full three‑dimensional landscape ...

Quantum computing is slowly entering the mainstream, as more people discuss the technology and its potential within ...

Quantum mechanics has long provided a vibrant framework for understanding the microscopic world, with mathematical constructs such as orthogonal polynomials playing a pivotal role. These specialised ...

This online data science specialization is ideal for engineers seeking to acquire a fundamental understanding of quantum mechanics. You will learn basic concepts including superposition and ...

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 ...

Albert Einstein's general theory of relativity describes gravity as the warping of space-time geometry by mass, a concept distinct from Isaac Newton's absolute space and time, and has been empirically ...

Quantum mechanics remains a cornerstone of modern physics, providing a framework for understanding phenomena at the microscopic scale. At the heart of its formulation lies the concept of Hilbert ...