Campuses:
This shows you the differences between two versions of the page.
| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| classes:2009:fall:phys4101.001:lec_notes_1012 [2009/10/14 08:16] – x500_spil0049 | classes:2009:fall:phys4101.001:lec_notes_1012 [2009/10/14 08:35] (current) – x500_spil0049 | ||
|---|---|---|---|
| Line 19: | Line 19: | ||
| We began class by dividing into groups in hope to gain more class participation. | We began class by dividing into groups in hope to gain more class participation. | ||
| Then we took a vote and decided to deal with the odd or antisymmetric solutions for a finite square well. | Then we took a vote and decided to deal with the odd or antisymmetric solutions for a finite square well. | ||
| - | Therefor, | + | Therefor, |
| - | Lets consider the main the main points in setting up solutions for a potential well problem: | + | Lets consider the main the main points in setting up solutions for a potential well problem:\\ |
| - | 1st | + | 1st\\ |
| - | One must of course know the potential. Where it is located in a two dimensional plane and its amplitude | + | One must, of course, know the potential. Where it is located in a two dimensional plane and its amplitude.\\ |
| + | Next we need to know the energy of the system under consideration. Is E < 0 or E > 0.\\ | ||
| + | With this information one can now divide the problem into regions. That is, both regions outside the potential well and the region in between the potential " | ||
| + | 2nd\\ | ||
| + | We impose boundary conditions.\\ | ||
| + | ψ and dψ must be continuous at the boundarys\\ | ||
| + | Upon analysis of the potential being an even function we can assume that the solutions are either even or odd. This is advantages b/c we only need to impose boundary conditions | ||
| The first point to consider is that an odd solution will be antisymmetric across the origin. This is what we focused on today. | The first point to consider is that an odd solution will be antisymmetric across the origin. This is what we focused on today. | ||