INMABB   05456
INSTITUTO DE MATEMATICA BAHIA BLANCA
Unidad Ejecutora - UE
artículos
Título:
Path Integrals on Euclidean Space Forms
Autor/es:
CAPOBIANDO, GUILLERMO; REARTES, WALTER
Revista:
SYMMETRY, INTEGRABILITY AND GEOMETRY
Editorial:
NATL ACAD SCI UKRAINE
Referencias:
Año: 2015 vol. 11 p. 1 - 12
ISSN:
1815-0659
Resumen:
In this paper we develop a quantization method for flat compact manifoldsbased 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 R n case the obtained results coincide with the known expressions.