Timeline for Schrödinger operators on a sphere
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 21, 2014 at 12:46 | vote | accept | CommunityBot | ||
| Oct 20, 2014 at 11:09 | answer | added | Zurab Silagadze | timeline score: 1 | |
| Oct 19, 2014 at 8:49 | vote | accept | CommunityBot | ||
| Oct 19, 2014 at 9:25 | |||||
| Oct 17, 2014 at 18:25 | comment | added | Christian Remling | Coddington/Levinson (this one doesn't treat the operator theory aspects) and the Weidmann Lecture notes are some older standard sources; Teschl and Zettl have newer books that I'm not familiar with (I would perhaps give those a try). | |
| Oct 17, 2014 at 16:01 | comment | added | Christian Remling | Since this potential is not integrable near the endpoints, imposing boundary conditions requires some care (check the literature for "singular endpoints"; and yes, there is indeed (near infinite) literature on this). | |
| Oct 17, 2014 at 15:58 | comment | added | Christian Remling | The normal approach would be to do a Kummer-Liouville transformation to bring the equation to Schrodinger form. If I did the calculation right, the modified potential will be $V(\theta)+1/2+(1/4)\cot^2\theta$, and since you didn't specify $V$, that's about all you can say in general. | |
| Oct 17, 2014 at 11:45 | answer | added | Denis Serre | timeline score: 0 | |
| Oct 17, 2014 at 9:41 | history | edited | user54300 | CC BY-SA 3.0 |
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| Oct 17, 2014 at 9:27 | history | edited | user54300 | CC BY-SA 3.0 |
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| Oct 17, 2014 at 9:21 | history | asked | user54300 | CC BY-SA 3.0 |