Simple proof of the adiabatic theorem
Simple proof of the adiabatic theorem is given in a finite dimensional case for nondegenerate as well as degenerate states. The estimate is obtained for the deviation of the norm of the solution of the Shchrodinger equation which is uniform on the parameter in the Hamiltonian.
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2011-03-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/21092/17350 |
| _version_ | 1828850678269739008 |
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| author | Mikhail O Katanaev |
| author_facet | Mikhail O Katanaev |
| author_sort | Mikhail O Katanaev |
| collection | DOAJ |
| description | Simple proof of the adiabatic theorem is given in a finite dimensional case for nondegenerate as well as degenerate states. The estimate is obtained for the deviation of the norm of the solution of the Shchrodinger equation which is uniform on the parameter in the Hamiltonian. |
| first_indexed | 2024-12-12T23:16:59Z |
| format | Article |
| id | doaj.art-6fdc1224157649cd995abc93da9e139f |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-12T23:16:59Z |
| publishDate | 2011-03-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-6fdc1224157649cd995abc93da9e139f2022-12-22T00:08:25ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812011-03-011519910718509Simple proof of the adiabatic theoremMikhail O Katanaev0Steklov Mathematical Institute, Russian Academy of SciencesSimple proof of the adiabatic theorem is given in a finite dimensional case for nondegenerate as well as degenerate states. The estimate is obtained for the deviation of the norm of the solution of the Shchrodinger equation which is uniform on the parameter in the Hamiltonian.https://journals.eco-vector.com/1991-8615/article/viewFile/21092/17350adiabatic theoremquantum mechanics |
| spellingShingle | Mikhail O Katanaev Simple proof of the adiabatic theorem Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki adiabatic theorem quantum mechanics |
| title | Simple proof of the adiabatic theorem |
| title_full | Simple proof of the adiabatic theorem |
| title_fullStr | Simple proof of the adiabatic theorem |
| title_full_unstemmed | Simple proof of the adiabatic theorem |
| title_short | Simple proof of the adiabatic theorem |
| title_sort | simple proof of the adiabatic theorem |
| topic | adiabatic theorem quantum mechanics |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/21092/17350 |
| work_keys_str_mv | AT mikhailokatanaev simpleproofoftheadiabatictheorem |