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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Gaioli, F.H., Garcia-Alvarez, E.T., Castagnino, M.A.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00207748_v36_n11_p2371_Gaioli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00207748_v36_n11_p2371_Gaioli
record_format dspace
spelling todo:paper_00207748_v36_n11_p2371_Gaioli2023-10-03T14:19:46Z The gamow vectors and the schwinger effect Gaioli, F.H. Garcia-Alvarez, E.T. Castagnino, M.A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author Gaioli, F.H.
Garcia-Alvarez, E.T.
Castagnino, M.A.
spellingShingle Gaioli, F.H.
Garcia-Alvarez, E.T.
Castagnino, M.A.
The gamow vectors and the schwinger effect
author_facet Gaioli, F.H.
Garcia-Alvarez, E.T.
Castagnino, M.A.
author_sort Gaioli, F.H.
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
url http://hdl.handle.net/20.500.12110/paper_00207748_v36_n11_p2371_Gaioli
work_keys_str_mv AT gaiolifh thegamowvectorsandtheschwingereffect
AT garciaalvarezet thegamowvectorsandtheschwingereffect
AT castagninoma thegamowvectorsandtheschwingereffect
AT gaiolifh gamowvectorsandtheschwingereffect
AT garciaalvarezet gamowvectorsandtheschwingereffect
AT castagninoma gamowvectorsandtheschwingereffect
_version_ 1782025535247876096

Ejemplares similares