Equivariance, Variational Principles, and the Feynman Integral
We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral. We also speculate about the origin of Lagrangian theories in physics and their connection to Feynman's inte...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2008 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148982 |
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| Цитувати: | Equivariance, Variational Principles, and the Feynman Integral / G. Svetlichny // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 8 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148982 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1489822019-02-20T01:28:14Z Equivariance, Variational Principles, and the Feynman Integral Svetlichny, G. We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral. We also speculate about the origin of Lagrangian theories in physics and their connection to Feynman's integral. 2008 Article Equivariance, Variational Principles, and the Feynman Integral / G. Svetlichny // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 8 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 49N99; 49Q99; 58D30; 58K70; 70S05; 70S10 http://dspace.nbuv.gov.ua/handle/123456789/148982 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral. We also speculate about the origin of Lagrangian theories in physics and their connection to Feynman's integral. |
| format |
Article |
| author |
Svetlichny, G. |
| spellingShingle |
Svetlichny, G. Equivariance, Variational Principles, and the Feynman Integral Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Svetlichny, G. |
| author_sort |
Svetlichny, G. |
| title |
Equivariance, Variational Principles, and the Feynman Integral |
| title_short |
Equivariance, Variational Principles, and the Feynman Integral |
| title_full |
Equivariance, Variational Principles, and the Feynman Integral |
| title_fullStr |
Equivariance, Variational Principles, and the Feynman Integral |
| title_full_unstemmed |
Equivariance, Variational Principles, and the Feynman Integral |
| title_sort |
equivariance, variational principles, and the feynman integral |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148982 |
| citation_txt |
Equivariance, Variational Principles, and the Feynman Integral / G. Svetlichny // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 8 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT svetlichnyg equivariancevariationalprinciplesandthefeynmanintegral |
| first_indexed |
2023-05-20T17:31:56Z |
| last_indexed |
2023-05-20T17:31:56Z |
| _version_ |
1796153512179007488 |