Path Integrals on Euclidean Space Forms
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Path Integrals on Euclidean Space Forms
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| Creator |
Capobianco, G.
Reartes, W. |
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| Description |
In this paper we develop a quantization method for flat compact manifolds based on path integrals. In this method the Hilbert space of holomorphic functions in the complexification of the manifold is used. This space is a reproducing kernel Hilbert space. A definition of the Feynman propagator, based on the reproducing property of this space, is proposed. In the Rⁿ case the obtained results coincide with the known expressions.
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| Date |
2019-02-13T17:24:11Z
2019-02-13T17:24:11Z 2015 |
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| Type |
Article
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| Identifier |
Path Integrals on Euclidean Space Forms / G. Capobianco, W. Reartes // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 35 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53Z05; 81S40 DOI:10.3842/SIGMA.2015.071 http://dspace.nbuv.gov.ua/handle/123456789/147139 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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