Numerical calculations of the probabilities for quantum transitions in atoms and molecules by the path integral method
The probabilities of molecular quantum transitions induced by electromagnetic field are expressed as path integrals of a real alternating functional. We propose a new method for computing these integrals by means of recurrence relations. We apply this approach to description of the two-photon Rabi o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2017-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://doi.org/10.1051/epjconf/201716102005 |
| _version_ | 1818648685953679360 |
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| author | Biryukov Alexander Degtyareva Yana |
| author_facet | Biryukov Alexander Degtyareva Yana |
| author_sort | Biryukov Alexander |
| collection | DOAJ |
| description | The probabilities of molecular quantum transitions induced by electromagnetic field are expressed as path integrals of a real alternating functional. We propose a new method for computing these integrals by means of recurrence relations. We apply this approach to description of the two-photon Rabi oscillations. |
| first_indexed | 2024-12-17T01:22:22Z |
| format | Article |
| id | doaj.art-df92bf0e48d041a49be9d509bb58f8fb |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-17T01:22:22Z |
| publishDate | 2017-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-df92bf0e48d041a49be9d509bb58f8fb2022-12-21T22:08:47ZengEDP SciencesEPJ Web of Conferences2100-014X2017-01-011610200510.1051/epjconf/201716102005epjconf_pecs2017_02005Numerical calculations of the probabilities for quantum transitions in atoms and molecules by the path integral methodBiryukov AlexanderDegtyareva YanaThe probabilities of molecular quantum transitions induced by electromagnetic field are expressed as path integrals of a real alternating functional. We propose a new method for computing these integrals by means of recurrence relations. We apply this approach to description of the two-photon Rabi oscillations.https://doi.org/10.1051/epjconf/201716102005 |
| spellingShingle | Biryukov Alexander Degtyareva Yana Numerical calculations of the probabilities for quantum transitions in atoms and molecules by the path integral method EPJ Web of Conferences |
| title | Numerical calculations of the probabilities for quantum transitions in atoms and molecules by the path integral method |
| title_full | Numerical calculations of the probabilities for quantum transitions in atoms and molecules by the path integral method |
| title_fullStr | Numerical calculations of the probabilities for quantum transitions in atoms and molecules by the path integral method |
| title_full_unstemmed | Numerical calculations of the probabilities for quantum transitions in atoms and molecules by the path integral method |
| title_short | Numerical calculations of the probabilities for quantum transitions in atoms and molecules by the path integral method |
| title_sort | numerical calculations of the probabilities for quantum transitions in atoms and molecules by the path integral method |
| url | https://doi.org/10.1051/epjconf/201716102005 |
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