Path Integrals on Euclidean Space Forms
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, base...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2015 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2015
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147139 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Path Integrals on Euclidean Space Forms / G. Capobianco, W. Reartes // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 35 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862669436079570944 |
|---|---|
| author | Capobianco, G. Reartes, W. |
| author_facet | Capobianco, G. Reartes, W. |
| citation_txt | Path Integrals on Euclidean Space Forms / G. Capobianco, W. Reartes // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 35 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T15:28:24Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147139 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:28:24Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Capobianco, G. Reartes, W. 2019-02-13T17:24:11Z 2019-02-13T17:24:11Z 2015 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 https://nasplib.isofts.kiev.ua/handle/123456789/147139 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. We thank Hern´an Cendra for his reading of the manuscript and useful suggestions. This work
 was supported by the Universidad Nacional del Sur (Grants PGI 24/L085, PGI 24/L086 and
 PGI 24/ZL10). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Path Integrals on Euclidean Space Forms Article published earlier |
| spellingShingle | Path Integrals on Euclidean Space Forms Capobianco, G. Reartes, W. |
| title | Path Integrals on Euclidean Space Forms |
| title_full | Path Integrals on Euclidean Space Forms |
| title_fullStr | Path Integrals on Euclidean Space Forms |
| title_full_unstemmed | Path Integrals on Euclidean Space Forms |
| title_short | Path Integrals on Euclidean Space Forms |
| title_sort | path integrals on euclidean space forms |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147139 |
| work_keys_str_mv | AT capobiancog pathintegralsoneuclideanspaceforms AT reartesw pathintegralsoneuclideanspaceforms |