Timeline for Separatibility of wave-function in Schrodinger equation describing motion of particle in spherical shell
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 22, 2022 at 7:08 | comment | added | Alex Alex | I am chemist. I can't read math books like story books. Probably I need to invest a lot of time to find proper books and study them. It may take half a year. I am a bussy man. | |
| Aug 21, 2022 at 18:23 | comment | added | hft | You think this won't be explained in a PDE textbook? | |
| Aug 21, 2022 at 11:10 | comment | added | Alex Alex | No. I am concerned about why obtained solution is general. So we found solution for wave-functions that splits in product. Why can we infer that there are no wave-functions that satisfy the PDE and are not separable. | |
| Aug 20, 2022 at 20:31 | comment | added | hft | You can buy a textbook on partial differential equations and study different kinds of guesses to try. But if you don't know the solution you have to try something, that is either going to be looking up the known solution or trying something else (a guess). | |
| Aug 20, 2022 at 20:26 | comment | added | hft | It's an ansatz. It works because it works. You don't need any further justification because you already seen that the guess has worked. The method is validated because we showed that the guess is right. If you are asking how to justify guessing, the only justification is well what else are you going to do? Just give up? No. You proceed by trying something because there is no other way. | |
| Aug 20, 2022 at 19:29 | comment | added | Alex Alex | Thank you. Your answer reminds me several arguments from Atkins textbook of physical chemistry. I have read them. I should have emphasized more on that I am interested in validation of this method. I wrote this question because I was concerned why this justification of function separability works. | |
| Aug 20, 2022 at 18:24 | history | answered | hft | CC BY-SA 4.0 |