Wavefunctions: The Mathematical Heart of Quantum Mechanics

A wavefunction is the mathematical description of a quantum system.
It encodes all possible states of a particle, like position, momentum, or spin.
The famous symbol Ψ (psi) is used to represent a wavefunction.
Squaring the wavefunction gives probabilities of finding a particle in each state.
It doesn’t tell you where a particle is, only the likelihood of where it might be.
When measured, the wavefunction “collapses” into one definite outcome.
Superposition arises because wavefunctions can overlap and combine.
Interference patterns in experiments are direct evidence of wavefunction behavior.
Wavefunctions evolve over time, guided by Schrödinger’s equation.
They are the invisible blueprint behind quantum mechanics—the math that makes the weirdness work.