Three Natural Generalizations of Fedosov Quantization
Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold. (2) The star product does not have to be of Weyl/symmetric or Wick/normal type....
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2009 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149170 |
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| Цитувати: | Three Natural Generalizations of Fedosov Quantization / K. Bering // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 46 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149170 |
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dspace |
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irk-123456789-1491702019-02-20T01:27:21Z Three Natural Generalizations of Fedosov Quantization Bering, K. Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold. (2) The star product does not have to be of Weyl/symmetric or Wick/normal type. (3) The initial geometric structures are allowed to depend on Planck's constant. 2009 Article Three Natural Generalizations of Fedosov Quantization / K. Bering // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 46 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 53D05; 53D55; 58A15; 58A50; 58C50; 58Z05 http://dspace.nbuv.gov.ua/handle/123456789/149170 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 |
Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold. (2) The star product does not have to be of Weyl/symmetric or Wick/normal type. (3) The initial geometric structures are allowed to depend on Planck's constant. |
| format |
Article |
| author |
Bering, K. |
| spellingShingle |
Bering, K. Three Natural Generalizations of Fedosov Quantization Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Bering, K. |
| author_sort |
Bering, K. |
| title |
Three Natural Generalizations of Fedosov Quantization |
| title_short |
Three Natural Generalizations of Fedosov Quantization |
| title_full |
Three Natural Generalizations of Fedosov Quantization |
| title_fullStr |
Three Natural Generalizations of Fedosov Quantization |
| title_full_unstemmed |
Three Natural Generalizations of Fedosov Quantization |
| title_sort |
three natural generalizations of fedosov quantization |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149170 |
| citation_txt |
Three Natural Generalizations of Fedosov Quantization / K. Bering // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 46 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT beringk threenaturalgeneralizationsoffedosovquantization |
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2023-05-20T17:32:30Z |
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2023-05-20T17:32:30Z |
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1796153527508140032 |