stem/Quantum/Wave Function.md

$$\psi(r,\theta,\phi)=R(r)\cdot Y_{ml}(\theta, \phi)$$
Wave functions are products of
Radial Function
- $R_{n,l}(r)$
Spherical Harmonic
- $Y_{ml}(\theta, \phi)$

Forms [[Orbitals]]

Absolute value of wave function squared gives probability density of finding electron inside differential volume $dV$ centred on $r, \theta, \phi$

$$|\psi(r,\theta,\phi)|^2$$
![[wave-function-polar.png]]

![[hydrogen-wave-function.png]]
![[wave-function-polar-segment.png]]
![[wave-function-nodes.png]]

![[hydrogen-electron-density.png]]

![[radius-electron-density-wf.png]]