dorsal/arxiv
View SchemaEquivalence between the real time Feynman histories and the quantum shutter approaches for the "passage time" in tunneling
| Authors | Gaston Garcia-Calderon, Jorge Villavicencio, Norifumi Yamada |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302096 |
| URL | https://arxiv.org/abs/quant-ph/0302096 |
| DOI | 10.1103/PhysRevA.67.052106 |
Abstract
We show the equivalence of the functions $G_{\rm p}(t)$ and $|\Psi(d,t)|^2$ for the ``passage time'' in tunneling. The former, obtained within the framework of the real time Feynman histories approach to the tunneling time problem, using the Gell-Mann and Hartle's decoherence functional, and the latter involving an exact analytical solution to the time-dependent Schr\"{o}dinger equation for cutoff initial waves.
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"abstract": "We show the equivalence of the functions $G_{\\rm p}(t)$ and $|\\Psi(d,t)|^2$\nfor the ``passage time\u0027\u0027 in tunneling. The former, obtained within the\nframework of the real time Feynman histories approach to the tunneling time\nproblem, using the Gell-Mann and Hartle\u0027s decoherence functional, and the\nlatter involving an exact analytical solution to the time-dependent\nSchr\\\"{o}dinger equation for cutoff initial waves.",
"arxiv_id": "quant-ph/0302096",
"authors": [
"Gaston Garcia-Calderon",
"Jorge Villavicencio",
"Norifumi Yamada"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.052106",
"title": "Equivalence between the real time Feynman histories and the quantum shutter approaches for the \"passage time\" in tunneling",
"url": "https://arxiv.org/abs/quant-ph/0302096"
},
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