Particle physics – Utopedia

Half-Integer Spin – 1/2

Half-integer spin is a quantum property of particles that makes them behave uniquely — they must spin twice to return to their original state, and they cannot share the same space or state with identical particles.

Science Simplified

The Quantum State

A quantum state is simply a description of everything we can possibly know about a particle at a given moment. It tells you things like: where the particle is likely to be, how fast it’s moving, what energy level it’s in, what direction it’s spinning (its “spin”), and other properties that define it uniquely.

Science Simplified

Wave Function (Ψ)

The wave function is a mathematical function — a set of numbers you can calculate — that tells us everything possible about a quantum system. Here’s the key: Ψ itself doesn’t directly give us a physical answer. Instead, when you take its absolute square (|Ψ|²), you get the probability of finding the particle at a particular place or in a particular state.