This lesson explores important mathematical methods used in physics, including spherical coordinates, integral calculations, and practical examples using Python. A helpful guide for students learning ...

Explore three different mathematical methods for solving the simple harmonic oscillator, one of the most important models in physics and applied mathematics. This guide compares the approaches step by ...

Curiosity-driven research has long sparked technological transformations. A century ago, curiosity about atoms led to quantum mechanics, and eventually the transistor at the heart of modern computing.

Mathematical physics occupies the fertile borderland between pure mathematics and theoretical physics, developing precise frameworks to formulate and solve the laws governing nature. It embraces the ...

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 ...

A new AI framework called THOR is transforming how scientists calculate the behavior of atoms inside materials. Instead of relying on slow simulations that take weeks of supercomputer time, the system ...

Last month, six Cornell faculty members received the Simons Fellowship, which provides funding for a research leave. Three received the Theoretical Physics fellowship and three received the ...

At the frontiers of theoretical physics, many of the most popular ideas have one thing in common: they begin from a mathematical framework that seeks to explain more things than our currently ...

Google celebrates Pi Day 2026 with a doodle honoring Archimedes' method for estimating pi, highlighting the significance of ...

The Mathematical Physics group at CU Boulder has expertise in Hilbert space theory, quantization theory, random matrices, Poisson geometry, the mathematics of classical and quantum fields, and PDE's ...