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).

This material is based upon work supported by the National Science Foundation under Grant No. 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).

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

• qsho.m

• potential_scattering.m

• qsho_n=0_translated_x=7.mp4 : Ground-state wave function translated to ξ=7, i.e. a coherent state

Particle in a box (square well)

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 xi=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

Particle in a box (square well) movies

• 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

• README.pdf : PDF file with explanations of movies and physical setup
• particle_in_a_box_gauss_k=50.mp4
• particle_in_a_box_gauss_x=0_k=0.mp4
• particle_in_a_box_square_k=0.mp4
• qsho_gauss_w=1_x=0_k=7.mp4
• qsho_n=0_translated_x=7.mp4
• free_particle_gauss_x=0_k=0.mp4
• free_particle_gauss_x=0_k=10.mp4
• free_particle_square_x=0_k=0.mp4
• free_particle_square_x=0_k=10.mp4
• particle_in_box.m
• free_particle.m
• qsho.m

• README.pdf README PDF file with explanations of movies and physical setup

• README file with explanations of movies and physical setup
• blah

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).

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).