Algebraic calculation of atomic integrals
| Thesis title in Czech: | Algebraický výpočet atomových integrálů |
|---|---|
| Thesis title in English: | Algebraic calculation of atomic integrals |
| Key words: | kvantová mechanika|algebraické metody|atomová fyzika |
| English key words: | quantum mechanics|algebraic methods|atomic physics |
| Academic year of topic announcement: | 2022/2023 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | angličtina |
| Department: | Department of Chemical Physics and Optics (32-KCHFO) |
| Supervisor: | doc. Mgr. Vojtěch Patkóš, Ph.D. |
| Author: | Mgr. Vít Anderle - assigned and confirmed by the Study Dept. |
| Date of registration: | 04.05.2022 |
| Date of assignment: | 04.05.2022 |
| Confirmed by Study dept. on: | 20.05.2022 |
| Date and time of defence: | 21.06.2023 09:00 |
| Date of electronic submission: | 11.05.2023 |
| Date of submission of printed version: | 11.05.2023 |
| Date of proceeded defence: | 21.06.2023 |
| Opponents: | doc. Mgr. Jaroslav Zamastil, Ph.D. |
| Guidelines |
| Student se seznámí s algebraickými metodami kvantové mechaniky, viz [1], [2].
Poté se seznámí s metodami výpočtu odmocniny z matice, viz [3]. Poté naprogramuje výpočet a použije ho na odhad základního stavu heliu-podobných atomů |
| References |
| [1] J. Zamastil a J. Benda, Kvantová mechanika a elektrodynamika, 2016
[2] J. Zamastil, F. Vinette and M. Šimánek, The use of commutation relations for the calculation of the atomic integrals, Phys. Rev. A 75, 022506 (2007). [3] N. J. Higham, Math. Comp. 46, 537 (1986). Viz též N. J. Higham, Numerical Algorithms 15, 227 (1997); E.D. Denman and A. N. Beavers, Jr., Appl. Math. Comput. 2, 63 (1976). |