Saved on this device

Follow your curiosity

What discovery has been shared with you?

FACTREE gives you something interesting to discover every day — and something worth talking about together.

Start with one fact. Explore it, go deeper, then follow whichever branch catches your imagination.

Choose subjects for a surprise

Exploring any topic

Begin your discovery

Your next discovery is one click away.

Choose one or more subjects above, or leave Any Topic selected and let curiosity decide.

Physics

Hamiltonian Core Concepts

Quick fact

Hamiltonian mechanics was developed by William Rowan Hamilton in 1833, and its equations mirror the structure of quantum mechanics so closely that the quantum Hamiltonian is simply an operator version of the classical one.

Why this is interesting

You know that energy is conserved, but did you know there's a single function that encodes all the motion of a system? How can a simple rule about energy predict the path of a planet or the vibrations of a molecule?