Solution
= Solution
The <Time-dependent Schrödinger equation> is
$$
\boxed{i\hbar\frac{\partial\psi}{\partial t}=-\frac{\hbar^2}{2m}\Delta\psi+V\psi.}
$$
A normalized <quantum state> has $\int_{\mathbb R^3}|\psi|^2\,d^3x=1$; the <Hamiltonian operator> acts on <wave functions> satisfying the appropriate domain and boundary conditions.