Wave Function

Solves the Schrodinger equation

Topics

• Spherical Wave Function

$[\Psi (\vec{r},t)]=\frac{1}{\sqrt{L^n}}$

• Units for wave function in $n$ dimensions
• $L$ is in units of length

${\int }_{-\infty }^{\infty }|\Psi {|}^2\mathrm{d}\vec{r}=1$

• Obeys Normalization

$f(x)=\sum _{n=1}^{\infty }{c}_n{\psi }_n(x)$

• $c_n$ is a Wave Function Weighting Coefficient

$⟨{\psi }_n,{\psi }_m⟩={\int }_{\mathbb{R}}{\psi }_n^{\ast }{\psi }_m\mathrm{d}x={\delta }_{nm}$

• Stationary states orthogonality condition