Main.PHYS181 History
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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).
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).
- free_particle_sig=20.mp4 and free_particle_sig=5.mp4 : Two free Gaussian wave packet with different initial widths but same momentum evolving in time (shows dispersion).
- free_particle_sig20.mp4 and free_particle_sig5.mp4 : Two free Gaussian wave packet with different initial widths but same momentum evolving in time (shows dispersion).
- infinite_well.mp4 : A Gaussian wave packet bouncing around in an infinite well (particle in a box)
- finite_well.mp4 : A Gaussian wave packet in a finite well bouncing around
- free_particle_sig=20.mp4 and free_particle_sig=5.mp4 : Two free Gaussian wave packet with different initial widths but same momentum evolving in time (shows disperion)
- infinite_well.mp4 : A Gaussian wave packet bouncing around in an infinite well (particle in a box).
- finite_well.mp4 : A Gaussian wave packet in a finite well bouncing around.
- qho.mp4 : A Gaussian wave packet in a harmonic potential bouncing around; shows perfect recurrence after one period.
- free_particle_sig=20.mp4 and free_particle_sig=5.mp4 : Two free Gaussian wave packet with different initial widths but same momentum evolving in time (shows dispersion).
- tunneling.mp4 : A Gaussian wave packet is launched at a rectangular barrier and suffers reflection and transmission (tunneling).
- free_particle_sig=20.mp4 and free_particle_sig=5.mp4 : Two free Gaussian wave packet with different initial widths but same momentum evolving in time (shows disperion)
- 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
- finite_well.mp4 : A Gaussian wave packet in a finite well bouncing around
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)
The remainder of this page has the animations for time evolution of wave functions in one dimensions for a few simple cases. See the phys181README.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).
- phys181README.pdf : PDF file with explanations of movies, physical setup, and what to note.
- infinite_well.mp4 : A Gaussian wave packet bouncing around in an infinite well (particle in a box)
Here we have the explanation and animation files (movies) for the PHYS181 course I taught spring 2009.
First is a simple computation of the single-slit diffraction pattern. The point is to see under what limits the usual diffraction formula holds and how the pattern evolves from diffraction (far-field, narrow slit, etc.) to a geometrical ``shadow'' for a wide slit where diffraction effects are washed out. A PDF file single_slit.pdf has the explanations and figures and the matlab code that does the computations is single_slit.m.
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
