The Gamow vectors and the Schwinger effect

Autor:	Mario Castagnino, Edgardo T. Garcia-Alvarez, Fabian H. Gaioli
Rok vydání:	1997
Předmět:	Physics Physics and Astronomy (miscellaneous) Semigroup General Mathematics Instability symbols.namesake Classical mechanics Electric field symbols Proper time Feynman diagram Boundary value problem Hamiltonian (quantum mechanics) Quantum
Zdroj:	International Journal of Theoretical Physics. 36:2371-2389
ISSN:	1572-9575 0020-7748
DOI:	10.1007/bf02768930
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d896b5cb05b8a1646872bcfdfea30949 https://doi.org/10.1007/bf02768930 Zobrazit plný text záznamu Full text from SpringerLink