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...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2015
Main Authors: Capobianco, G., Reartes, W.
Format: Article
Language:English
Published: Інститут математики НАН України 2015
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/147139
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Path Integrals on Euclidean Space Forms / G. Capobianco, W. Reartes // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 35 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine