Timeline for Why does using different basis functions in the matrix method give different ground state energies?
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6 events
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| Feb 20, 2023 at 19:59 | comment | added | Quantumwhisp | @MamMam I don't know. You need to find other arguments, by which your choice of a basis is sufficient. But this is beyond the scope of your question. Your question was why the numbers can be different. | |
| Feb 20, 2023 at 19:32 | comment | added | Mam Mam | How I can understand that function of energy converge enough? | |
| Feb 20, 2023 at 19:29 | comment | added | Mam Mam | Thanks! But increase of functions number in both basis up to 300 give problems with accuracy in Mathematica, because changes in energy are minimal and Mathematica doesn't feel it. | |
| Feb 20, 2023 at 18:05 | comment | added | Quantumwhisp | @MamMam Wether it's the xth decimal place doesn't say anything about the actual size of the change (with different units, it could be any decimal place). (My point 2) If it was small by any means, that doesn't say anything about a local convergence. Your data doesn't look like it converged. Take another 1000 basis functions, then you might have a change of order 1 (my first point). | |
| Feb 20, 2023 at 16:47 | comment | added | Mam Mam | Thanks for the answer! I tried to calculate a matrix with a large number of functions, but this increases the accuracy of the energy calculation only in the 3rd decimal place. Those, an increase in the number of basis functions does not give a significant change in energy in this case. | |
| Feb 20, 2023 at 16:12 | history | answered | Quantumwhisp | CC BY-SA 4.0 |