Wave Equation

#Physics

$\displaystyle \frac{ \partial ^{2}\Psi }{ \partial t^{2} }=c^{2}\Delta\Psi$

• $\displaystyle \Psi(\vec{r},t)$ is the wave function. Any function that satisfies the above 2nd Order DEQ behaves like a wave
  • Eigenfunctions are sin, cos, or complex exponentials
• $\displaystyle c$ is the speed of the wave
• $\displaystyle \Delta$ is the Laplacian