## wave function^2

$H_{\psi }=E_{\psi }$

1-D: $E_{TOTAL}\psi (x)=E_{k}\psi (x)+V(x)\psi(x)=-\frac{h^{2}}{8\pi ^{2}m}\frac{d^{2}\psi(x)}{dx^{2}}+V(x)\psi(x)$

Abigail Carter 4G
Posts: 50
Joined: Sat Sep 07, 2019 12:19 am

### wave function^2

When would you use this equation?

wave function^2 = e-p distribution

Mulin_Li_2J
Posts: 105
Joined: Sat Aug 17, 2019 12:16 am

### Re: wave function^2

You probably won't do any actual calculations with this equation but do make sure you know how to qualitatively understand what it means. Wave function^2 = probability density, which ranges from 0 to 1. High probability density means higher chance of finding electrons in this region and vice versa.

By calculating probability density, or e-distribution, for the entire energy shell, we will be able to see the shapes of the orbits, which are shown in the lecture.