Solution
= Solution
The spatial <wavefunction> $\chi(x)$ is the position amplitude of a stationary <quantum state>, so $|\chi(x)|^2$ is its <probability density> after normalization. The real <function> $U(x)$ is the <potential energy>, $E$ is the energy <eigenvalue>, $m$ is the particle mass, and $\hbar$ is the reduced <Planck constant>.