quantum physics

Basic idea

The world at small scales: states are vectors in a Hilbert space, observables are Hermitian operators, and measurement outcomes are probabilistic.

Key formulas

• Schrödinger equation: $i\hbar\partial_t\psi=\hat H\psi$
• Born rule: $P(x)=|\psi(x)|^2$
• Uncertainty: $\Delta x \Delta p \ge \hbar/2$
• Planck-Einstein: $E=\hbar\omega = hf$

Pages

• quantum tunnelling

Siblings

• loop quantum gravity
• quantum loop gravity
• relativity
• string theory