Reprojection method for inelastic processes in atomic collisions within Born–Oppenheimer approach
The paper provides a detailed description of the reprojection method for the exact solution of the nonadiabatic nuclear dynamics within the Born–Oppenheimer formalism. In particular, it discusses the asymptotic behaviour of a state-to-state transition probability when a nonadiabatic radial coupling...
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| Format: | Article |
| Language: | English |
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Herzen State Pedagogical University of Russia
2022-04-01
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| Series: | Physics of Complex Systems |
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| Online Access: | https://www.physcomsys.ru/index.php/physcomsys/article/view/80 |
| _version_ | 1811195203102441472 |
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| author | Андрей Константинович Беляев |
| author_facet | Андрей Константинович Беляев |
| author_sort | Андрей Константинович Беляев |
| collection | DOAJ |
| description |
The paper provides a detailed description of the reprojection method for the exact solution of the nonadiabatic nuclear dynamics within the Born–Oppenheimer formalism. In particular, it discusses the asymptotic behaviour of a state-to-state transition probability when a nonadiabatic radial coupling for this transition has a nonzero asymptotic value—a fundamental feature of the Born–Oppenheimer approach. It is known that the conventional Born–Oppenheimer approach leads to divergency of inelastic cross sections and inelastic rate coefficients, while the reprojection method provides convergences. The article describes physical background of the reprojection method.
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| first_indexed | 2024-04-12T00:39:28Z |
| format | Article |
| id | doaj.art-5de03012ac234f5399053eaa8cac1b50 |
| institution | Directory Open Access Journal |
| issn | 2687-153X |
| language | English |
| last_indexed | 2024-04-12T00:39:28Z |
| publishDate | 2022-04-01 |
| publisher | Herzen State Pedagogical University of Russia |
| record_format | Article |
| series | Physics of Complex Systems |
| spelling | doaj.art-5de03012ac234f5399053eaa8cac1b502022-12-22T03:55:03ZengHerzen State Pedagogical University of RussiaPhysics of Complex Systems2687-153X2022-04-0131Reprojection method for inelastic processes in atomic collisions within Born–Oppenheimer approachАндрей Константинович Беляев0Herzen State Pedagogical University of Russia The paper provides a detailed description of the reprojection method for the exact solution of the nonadiabatic nuclear dynamics within the Born–Oppenheimer formalism. In particular, it discusses the asymptotic behaviour of a state-to-state transition probability when a nonadiabatic radial coupling for this transition has a nonzero asymptotic value—a fundamental feature of the Born–Oppenheimer approach. It is known that the conventional Born–Oppenheimer approach leads to divergency of inelastic cross sections and inelastic rate coefficients, while the reprojection method provides convergences. The article describes physical background of the reprojection method. https://www.physcomsys.ru/index.php/physcomsys/article/view/80scattering theoryinelastic collision processesnonadiabatic transitionsatomic data |
| spellingShingle | Андрей Константинович Беляев Reprojection method for inelastic processes in atomic collisions within Born–Oppenheimer approach Physics of Complex Systems scattering theory inelastic collision processes nonadiabatic transitions atomic data |
| title | Reprojection method for inelastic processes in atomic collisions within Born–Oppenheimer approach |
| title_full | Reprojection method for inelastic processes in atomic collisions within Born–Oppenheimer approach |
| title_fullStr | Reprojection method for inelastic processes in atomic collisions within Born–Oppenheimer approach |
| title_full_unstemmed | Reprojection method for inelastic processes in atomic collisions within Born–Oppenheimer approach |
| title_short | Reprojection method for inelastic processes in atomic collisions within Born–Oppenheimer approach |
| title_sort | reprojection method for inelastic processes in atomic collisions within born oppenheimer approach |
| topic | scattering theory inelastic collision processes nonadiabatic transitions atomic data |
| url | https://www.physcomsys.ru/index.php/physcomsys/article/view/80 |
| work_keys_str_mv | AT andrejkonstantinovičbelâev reprojectionmethodforinelasticprocessesinatomiccollisionswithinbornoppenheimerapproach |