time-independent Schrödinger equation

time-independent Schrödinger equation (uncountable)

1. The equation ${\displaystyle {\hat {H}}\psi ({\vec {r}})=E\psi ({\vec {r}})}$, for some constant ${\displaystyle E}$; applies to separable solutions ${\displaystyle \Psi ({\vec {r}},t)=\psi ({\vec {r}})\phi (t)}$ to the Schrödinger equation.