TISE

$\hat{H}\psi =E\psi$

• Obtained by applying separation of variables on the TISE
• Also derivable by wave equation
• $\psi$ is $\psi (\vec{r})$ and is an eigenfunction of the TISE
• $\vec{r}$ is the position vector that is the same as $⟨x,y,z⟩$ in ${\mathbb{R}}^3$
• $E$ is discrete