TISE

#Physics

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

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