dorsal/arxiv
View SchemaThe Gamow vectors and the Schwinger effect
| Authors | Fabian H. Gaioli, Edgardo T. Garcia Alvarez, Mario A. Castagnino |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9807048 |
| URL | https://arxiv.org/abs/quant-ph/9807048 |
| Journal | Int.J.Theor.Phys.36:2371-2389, 1997 |
Abstract
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 theoretical 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.
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"abstract": "We introduce a `proper time\u0027 formalism to study the instability of the vacuum\nin a uniform external electric field due to particle production. This formalism\nallows us to reduce a quantum field theoretical problem to a quantum-mechanical\none in a higher dimension. The instability results from the inverted oscillator\nstructure which appears in the Hamiltonian. We show that the `proper time\u0027\nunitary evolution splits into two semigroups. The semigroup associated with\ndecaying Gamov vectors is related to the Feynman boundary conditions for the\nGreen functions and the semigroup associated with growing Gamov vectors is\nrelated to the Dyson boundary conditions.",
"arxiv_id": "quant-ph/9807048",
"authors": [
"Fabian H. Gaioli",
"Edgardo T. Garcia Alvarez",
"Mario A. Castagnino"
],
"categories": [
"quant-ph",
"hep-th"
],
"journal_ref": "Int.J.Theor.Phys.36:2371-2389, 1997",
"title": "The Gamow vectors and the Schwinger effect",
"url": "https://arxiv.org/abs/quant-ph/9807048"
},
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