Timeline for Solving the 2D Schrödinger equation with eigensystem, then verifying orthonormality of eigenfunctions with NIntegrate
Current License: CC BY-SA 4.0
18 events
| when toggle format | what | by | license | comment | |
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| S Apr 25, 2019 at 22:02 | history | bounty ended | CommunityBot | ||
| S Apr 25, 2019 at 22:02 | history | notice removed | CommunityBot | ||
| Apr 23, 2019 at 11:30 | comment | added | Vsevolod A. |
@MatthewBrunetti I would suggest you investigate the minimum s which gives an acceptable solution, i.e. energy value. Electron and hole attract each other so I expect the solution to converge quickly as s increased.
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| Apr 17, 2019 at 21:12 | comment | added | Matthew Brunetti |
yes, my integration domain is a square with side length 2s in cartesian coordinates.
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| Apr 17, 2019 at 20:59 | comment | added | Vsevolod A. |
Does s represent the range of integration?
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| S Apr 17, 2019 at 20:52 | history | bounty started | Matthew Brunetti | ||
| S Apr 17, 2019 at 20:52 | history | notice added | Matthew Brunetti | Draw attention | |
| Apr 16, 2019 at 21:12 | history | edited | Matthew Brunetti | CC BY-SA 4.0 |
added 3981 characters in body
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| Apr 16, 2019 at 8:46 | history | edited | Szabolcs |
edited tags
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| Apr 16, 2019 at 8:45 | comment | added | Szabolcs | Please do not create new tags without good reason. Try to use existing tags whenever possible. | |
| Apr 15, 2019 at 18:01 | history | tweeted | twitter.com/StackMma/status/1117850418648731649 | ||
| Apr 15, 2019 at 13:58 | history | edited | Matthew Brunetti | CC BY-SA 4.0 |
added 8 characters in body
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| Apr 15, 2019 at 13:58 | comment | added | Matthew Brunetti |
Oh, it looks like you were asking about the k found in the definition of VKeld. I changed the function argument from k to kappa to be more consistent with the variable definitions in the NDEigensystem in the Module, then forgot to change k $\to$ kappa in the actual definition of VKeld. I will edit that now. Thanks for pointing that out.
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| Apr 15, 2019 at 5:19 | history | edited | user64494 | CC BY-SA 4.0 |
edited title
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| Apr 15, 2019 at 2:18 | comment | added | Matthew Brunetti |
u and f from the Module containing NDEigensystem are the names for the eigenfunctions (e.g. $\psi$ from the Schrodinger equation). The Schrodinger equation in $x,y$ coordinates uses f (that's defined as tds in the Module), and then f (which is a function of $x$ and $y$) is transformed (or Replace'd) with u (which is a function of $\xi,\psi$). I'm not sure which k you're referring to though, do you mean the k which is the last function argument of nintaio? In that function j and k are just the indices of the eigenfunctions returned by NDEigensystem.
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| Apr 14, 2019 at 23:48 | comment | added | b3m2a1 |
u, f, and k don't seem to be defined can you provide them?
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| Apr 14, 2019 at 21:32 | history | edited | Roman | CC BY-SA 4.0 |
edited body; edited title
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| Apr 14, 2019 at 21:28 | history | asked | Matthew Brunetti | CC BY-SA 4.0 |