Here we have the animation files (movies) for the APHY439 course I am teaching. The show the time evolution of wave functions in one dimensions for a few simple cases. See the README.pdf file for details. The actual matlab code I used to generate the movie frames are also provided for your perusal and/or experimentation (the ".m" files).
- README.pdf : PDF file with explanations of movies and physical setup
Particle in a box (square well)
- particle_in_a_box_gauss_x=0_k=0.mp4 : Gaussian centered mid box with zero average momentum
- particle_in_a_box_gauss_k=50.mp4 : Gaussian centered mid box with mean positive momentum
- particle_in_a_box_square_k=0.mp4 : square wave function centered mid box with zero mean momentum
Harmonic oscillator
- qsho_gauss_w=1_x=0_k=7.mp4 : Gaussian centered at x=0 with positive average momentum
- qsho_n=0_translated_x=7.mp4 : Ground-state wave function translated to ξ=7, i.e. a coherent state
Free particle
- free_particle_gauss_x=0_k=0.mp4 : Gaussian centered at x=0, no momentum
- free_particle_gauss_x=0_k=10.mp4 : Gaussian centered at x=0, positive momentum
- free_particle_square_x=0_k=0.mp4 : square wave func. centered at x=0, no momentum
- free_particle_square_x=0_k=10.mp4 : square wave func. centered at x=0, positive momentum
Potential scattering
- potscatter_sig=10_alpha=2_a=0.5.mp4 : single bound state, low energy packet
- potscatter_sig=4_alpha=2_a=0.5.mp4 : single bound state, medium energy packet
- potscatter_sig=2_alpha=2_a=0.5.mp4 : single bound state, medium energy packet
- potscatter_sig=1_k0=1_alpha=2_a=0.5.mp4 : single bound state, packet with wide energy spread
- potscatter_sig=10_alpha=11_a=10.mp4 : multiple bound states, low energy packet
Matlab codes generating these animations
This material is based upon work supported by the National Science Foundation under Grants MRSEC DMR-0520495 and DMR-0808665. Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).
