## Plots of Quantum Mechanical Wavefunctions and Probability Densities

Most of these plots look better in the original MATLAB plots which were in color.

#### Scattering of a Particle off of a Potential Barrier

- MATLAB code. It takes about 5-10 minutes for the movies to be generated.
- Movie. Note that
this is a gzipped MATLAB MAT file. The expanded file is roughly 300MB
in size. There are three movies saved in the file:
- Incident wavefunction only (M1)
- Reflected and transmitted wavefunction only (M2)
- Total wavefunction (M3)

#### Quantum Harmonic Oscillator

- Plots of the probability densities for the first few energy eigenfunctions. MATLAB code.
- Plots of the first few energy eigenfunctions. In the left graph, the wavefunctions are superimposed on the potential well. In the right graph, the probability density functions are plotted. MATLAB code.

#### Hydrogen Atom

##### 1s Orbital

- Plot of the radial probability function for the 1s orbital in a hydrogen-like atom.
- Contour plot of the 1s orbital in a hydrogen-like atom.
- Surface plot of the 1s orbital in a hydrogen-like atom.
- MATLAB code

##### 2s Orbital

- Plot of the radial probability function for the 2s orbital in a hydrogen-like atom.
- MATLAB code

##### 2p Orbital

- Contour plot of the 2p orbital in a hydrogen-like atom.
- Surface plot of the 2p orbital in a hydrogen-like atom.
- MATLAB code

##### 3d_{z2} Orbital

- Contour plot of the
3d
_{z2}orbital in a hydrogen-like atom. - Surface plot of the
3d
_{z2}orbital in a hydrogen-like atom. - MATLAB code

##### 3d_{xy} Orbital

- Contour plot of the
3d
_{xy}orbital in a hydrogen-like atom. - Surface plot of the
3d
_{xy}orbital in a hydrogen-like atom. - MATLAB code