Birkhoff Normal Forms for Born-Oppenheimer Operators
We describe in this paper a significant spectral reduction method for Born-Oppenheimer operators with regular potentials, which leads to an adaptable Birkhoff normal form theorem for the associated effective Hamiltonians. As illustration of the established results, we compute the Birkhoff normal for...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2020-03-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/2019 |
| _version_ | 1819116134665814016 |
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| author | Nawel Latigui Bekkai Messirdi Kaoutar Ghomari |
| author_facet | Nawel Latigui Bekkai Messirdi Kaoutar Ghomari |
| author_sort | Nawel Latigui |
| collection | DOAJ |
| description | We describe in this paper a significant spectral reduction method for Born-Oppenheimer operators with regular potentials, which leads to an adaptable Birkhoff normal form theorem for the associated effective Hamiltonians. As illustration of the established results, we compute the Birkhoff normal form in Fermi resonance. |
| first_indexed | 2024-12-22T05:12:16Z |
| format | Article |
| id | doaj.art-0666c65c284b453292622578946dfe30 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-22T05:12:16Z |
| publishDate | 2020-03-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-0666c65c284b453292622578946dfe302022-12-21T18:37:57ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392020-03-01182183193437Birkhoff Normal Forms for Born-Oppenheimer OperatorsNawel LatiguiBekkai MessirdiKaoutar GhomariWe describe in this paper a significant spectral reduction method for Born-Oppenheimer operators with regular potentials, which leads to an adaptable Birkhoff normal form theorem for the associated effective Hamiltonians. As illustration of the established results, we compute the Birkhoff normal form in Fermi resonance.http://etamaths.com/index.php/ijaa/article/view/2019 |
| spellingShingle | Nawel Latigui Bekkai Messirdi Kaoutar Ghomari Birkhoff Normal Forms for Born-Oppenheimer Operators International Journal of Analysis and Applications |
| title | Birkhoff Normal Forms for Born-Oppenheimer Operators |
| title_full | Birkhoff Normal Forms for Born-Oppenheimer Operators |
| title_fullStr | Birkhoff Normal Forms for Born-Oppenheimer Operators |
| title_full_unstemmed | Birkhoff Normal Forms for Born-Oppenheimer Operators |
| title_short | Birkhoff Normal Forms for Born-Oppenheimer Operators |
| title_sort | birkhoff normal forms for born oppenheimer operators |
| url | http://etamaths.com/index.php/ijaa/article/view/2019 |
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