Path Integrals on Euclidean Space Forms

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік
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dc.contributor.author	Capobianco, G.
dc.contributor.author	Reartes, W.
dc.date.accessioned	2019-02-13T17:24:11Z
dc.date.available	2019-02-13T17:24:11Z
dc.date.issued	2015
dc.identifier.citation	Path Integrals on Euclidean Space Forms / G. Capobianco, W. Reartes // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 35 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 53Z05; 81S40
dc.identifier.other	DOI:10.3842/SIGMA.2015.071
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147139
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Path Integrals on Euclidean Space Forms	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA