The gamow vectors and the schwinger effect

We introduce a 'proper time' formalism to study the instability of the vacuum in a uniform external electric field due to particle production. This formalism allows us to reduce a quantum field-theoretic problem to a quantum mechanical one in a higher dimension. The instability results fro...

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Autores principales: Gaioli, Fabián Horacio, Garcia Alvarez, Edgardo, Castagnino, Mario Alberto G. J.
Publicado: 1997
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v36_n11_p2371_Gaioli
http://hdl.handle.net/20.500.12110/paper_00207748_v36_n11_p2371_Gaioli
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_00207748_v36_n11_p2371_Gaioli2023-06-08T14:41:48Z The gamow vectors and the schwinger effect Gaioli, Fabián Horacio Garcia Alvarez, Edgardo Castagnino, Mario Alberto G. J. We introduce a 'proper time' formalism to study the instability of the vacuum in a uniform external electric field due to particle production. This formalism allows us to reduce a quantum field-theoretic problem to a quantum mechanical one in a higher dimension. The instability results from the inverted oscillator structure which appears in the Hamiltonian. We show that the 'proper time' unitary evolution splits into two semigroups. The semigroup associated with decaying Gamov vectors is related to the Feynman boundary conditions for the Green functions and the semigroup associated with growing Gamov vectors is related to the Dyson boundary conditions. Fil:Gaioli, F.H. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Garcia-Alvarez, E.T. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Castagnino, M.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v36_n11_p2371_Gaioli http://hdl.handle.net/20.500.12110/paper_00207748_v36_n11_p2371_Gaioli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We introduce a 'proper time' formalism to study the instability of the vacuum in a uniform external electric field due to particle production. This formalism allows us to reduce a quantum field-theoretic problem to a quantum mechanical one in a higher dimension. The instability results from the inverted oscillator structure which appears in the Hamiltonian. We show that the 'proper time' unitary evolution splits into two semigroups. The semigroup associated with decaying Gamov vectors is related to the Feynman boundary conditions for the Green functions and the semigroup associated with growing Gamov vectors is related to the Dyson boundary conditions.
author Gaioli, Fabián Horacio
Garcia Alvarez, Edgardo
Castagnino, Mario Alberto G. J.
spellingShingle Gaioli, Fabián Horacio
Garcia Alvarez, Edgardo
Castagnino, Mario Alberto G. J.
The gamow vectors and the schwinger effect
author_facet Gaioli, Fabián Horacio
Garcia Alvarez, Edgardo
Castagnino, Mario Alberto G. J.
author_sort Gaioli, Fabián Horacio
title The gamow vectors and the schwinger effect
title_short The gamow vectors and the schwinger effect
title_full The gamow vectors and the schwinger effect
title_fullStr The gamow vectors and the schwinger effect
title_full_unstemmed The gamow vectors and the schwinger effect
title_sort gamow vectors and the schwinger effect
publishDate 1997
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v36_n11_p2371_Gaioli
http://hdl.handle.net/20.500.12110/paper_00207748_v36_n11_p2371_Gaioli
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