Time-independent Schrodinger equation
= Time-independent Schrödinger equation
{c}
{title2=$H\psi=E\psi$}
An energy eigenstate satisfies
$$
H\psi=E\psi.
$$
For a one-dimensional particle,
$$
-\frac{\hbar^2}{2m}\psi''+U(x)\psi=E\psi.
$$
= Time-independent Schrödinger equation
{c}
{title2=$H\psi=E\psi$}
An energy eigenstate satisfies
$$
H\psi=E\psi.
$$
For a one-dimensional particle,
$$
-\frac{\hbar^2}{2m}\psi''+U(x)\psi=E\psi.
$$