Dirac Equation

$$\left(\beta m{c}^2+\sum _{j=1}^3{\alpha }_j{p}_{j}c\right)\vec{\Psi }(x,y,z,t)=i\hslash \frac{\partial \vec{\Psi }(x,y,z,t)}{\partial t}$$

where

• $\vec{\Psi }$ is a complex four dimensionnal wave-function vector
• $p_j$ are momentum operators in the Schodinger theory
• ${\alpha }_j$ and $\beta$ are specialized 4x4 matrices

See also

Special Relativity, Quantum Mechanics