Timeline for Bogoliubov-de Gennes equation and how to diagonalize
Current License: CC BY-SA 4.0
25 events
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| S Mar 2, 2022 at 21:00 | history | bounty ended | CommunityBot | ||
| S Mar 2, 2022 at 21:00 | history | notice removed | CommunityBot | ||
| Feb 28, 2022 at 20:31 | history | edited | MrQ | CC BY-SA 4.0 |
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| Feb 25, 2022 at 21:32 | history | edited | MrQ | CC BY-SA 4.0 |
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| Feb 23, 2022 at 18:06 | history | edited | MrQ | CC BY-SA 4.0 |
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| Feb 23, 2022 at 18:06 | comment | added | MrQ | @AlexTrounev: I am asking on how to numerically solve the Bogoliubov-de Gennes equations in Pitaevskii-Stringari book (5.68) or Pethik-Smith book on bose-einstein condensates | |
| Feb 23, 2022 at 17:14 | comment | added | Alex Trounev | @MrQ Could you give a link or upload equations you are asking for? | |
| Feb 23, 2022 at 10:33 | comment | added | MrQ | I know $\psi$ and all those things.... Only question is how to diagonalize since an operator (the Laplacian) is involved | |
| Feb 23, 2022 at 10:01 | comment | added | MrQ | So for the potential step, what do you suggest? And I would like to know how to diagonalize this Hamiltonian (not another one) | |
| Feb 22, 2022 at 22:56 | comment | added | hft | Find eigenstates of the potential and use those eigenstates as a new basis to rewrite the Hamiltonian. | |
| Feb 22, 2022 at 21:31 | comment | added | MrQ | @hft: so there is no translational invariance, because in that case I could have chosen a plane wave | |
| Feb 22, 2022 at 21:31 | comment | added | MrQ | I am dealing with a Bose-Einstein condensate with a position-varying step potential | |
| Feb 22, 2022 at 21:21 | comment | added | hft | pseudocode for numerical solution of the Laplace equation or what? | |
| Feb 22, 2022 at 21:20 | comment | added | hft | If you are dealing with a solid, oftentimes there is discrete translational invariance of the potential (e.g., translations along the crystal lattice vectors). If you are dealing with "jellium" then there is translational invariance. | |
| Feb 22, 2022 at 20:22 | comment | added | MrQ | Related question is stackoverflow.com/questions/71226231/… | |
| Feb 22, 2022 at 19:39 | comment | added | MrQ | As an extra, maybe one could provide a basic pseudocode for solving this. | |
| S Feb 22, 2022 at 19:34 | history | bounty started | MrQ | ||
| S Feb 22, 2022 at 19:34 | history | notice added | MrQ | Draw attention | |
| Feb 22, 2022 at 19:33 | history | undeleted | MrQ | ||
| Feb 14, 2022 at 11:23 | history | deleted | MrQ | via Vote | |
| Feb 14, 2022 at 11:22 | history | edited | MrQ | CC BY-SA 4.0 |
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| Feb 14, 2022 at 11:20 | comment | added | MrQ | Or can I use a Fourier transform? But here there is NO translational invariance | |
| Feb 14, 2022 at 11:16 | history | undeleted | MrQ | ||
| Feb 14, 2022 at 11:10 | history | deleted | MrQ | via Vote | |
| Feb 14, 2022 at 11:05 | history | asked | MrQ | CC BY-SA 4.0 |