An Introduction To The Hilbert Space

The space where quantum systems live and breathe.

If you’ve been a student of classical Physics, you must have plotted the state of a particle in a 3D Cartesian space.

But unlike a classical particle here, a quantum system is represented using a Hilbert Space.

A Hilbert Space is a vector space with either a finite or infinite number of dimensions.

Its elements are Kets, which represent quantum systems.

(If you’re unfamiliar with Ket and Bra vectors, starting with the lesson titled “An Introduction To Bra-Ket (Dirac) Notation” is highly recommended.)