Difference between revisions of "PCh7 lec3"
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Have a look at the following video: | Have a look at the following video: | ||
:[https://youtu.be/N3CErWITjJo Particle-on-a-Ring: Theory and Interpretation (10:55 min)] | :[https://youtu.be/N3CErWITjJo Particle-on-a-Ring: Theory and Interpretation (10:55 min)] | ||
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| + | Note: | ||
| + | :- there is appears to be two wavefunction (clockwise rotation and counter-clockwise rotation) eq. 7.12, but instead of thinking about two solutions, we move the negative value into the integer m<sub>l</sub>, so the values for ml = 0, ±1, ±2, ±3, etc. | ||
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| + | Please complete/write out Ex. Problem 7.4 (page 114) | ||
Revision as of 18:06, 23 March 2020
in progress...
As we move forward to discuss the particle on a ring, ie. rotation in 1D, the biggest change that happens is that we need to change the coordinate system from cartesian coordinates to spherical polar coordinates (SPC). Have a look at the following video to help understand this conversion (reminder: document your work, ie. take some notes).
- Deriving Spherical Coordinates (For Physics/Chemistry Majors) 5:03 min
- See Fig 2.5 (Engel) for SPC diagram.
Particle on a Ring
Have a look at the following video:
Note:
- - there is appears to be two wavefunction (clockwise rotation and counter-clockwise rotation) eq. 7.12, but instead of thinking about two solutions, we move the negative value into the integer ml, so the values for ml = 0, ±1, ±2, ±3, etc.
Please complete/write out Ex. Problem 7.4 (page 114)