Difference between revisions of "PCh7 lec3"
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| Line 11: | Line 11: | ||
Note: | Note: | ||
| − | :- there | + | :- there 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. |
| + | Add the operator, wavefunction, and energy to your table. | ||
| + | Please complete/write out Ex. Problem 7.4 (page 114), Determine/verify the normalization constant for the wavefunction. | ||
| − | + | '''End of Lecture 3.''' | |
Revision as of 18:09, 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 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.
Add the operator, wavefunction, and energy to your table.
Please complete/write out Ex. Problem 7.4 (page 114), Determine/verify the normalization constant for the wavefunction.
End of Lecture 3.