dorsal/arxiv
View SchemaThe tunneling time for a wave packet as measured with a physical clock
| Authors | Andrea Begliuomini, Luciano Bracci |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9605045 |
| URL | https://arxiv.org/abs/quant-ph/9605045 |
| Journal | Nuovo Cim. B112 (1997) 603-612 |
Abstract
We study the time required for a wave packet to tunnel beyond a square barrier, or to be reflected, by envisaging a physical clock which ticks only when the particle is within the barrier region. The clock consists in a magnetic moment initially aligned with the $x$ axis which in the barrier region precesses around a constant magnetic field aligned with the $z$ axis, the motion being in the $y$ direction. The values of the $x$ and $y$ components of the magnetic moment beyond or in front of the barrier allow to assign a tunneling or reflection time to every fraction of the packet which emerges from the barrier and to calculate tunneling times $\tau_{\rm T,x}$ and $\tau_{\rm T,y}$ and reflection times $\tau_{\rm R,x}$ and $\tau_{\rm R,y}$. The times $\tau_{\rm T,x}$ and $\tau_{\rm T,y}$ ($\tau_{\rm R,x}$ and $\tau_{\rm R,y}$) are remarkably equal, and independent of the initial position (in front of the barrier) of the packet.
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"abstract": "We study the time required for a wave packet to tunnel beyond a square\nbarrier, or to be reflected, by envisaging a physical clock which ticks only\nwhen the particle is within the barrier region. The clock consists in a\nmagnetic moment initially aligned with the $x$ axis which in the barrier region\nprecesses around a constant magnetic field aligned with the $z$ axis, the\nmotion being in the $y$ direction. The values of the $x$ and $y$ components of\nthe magnetic moment beyond or in front of the barrier allow to assign a\ntunneling or reflection time to every fraction of the packet which emerges from\nthe barrier and to calculate tunneling times $\\tau_{\\rm T,x}$ and $\\tau_{\\rm\nT,y}$ and reflection times $\\tau_{\\rm R,x}$ and $\\tau_{\\rm R,y}$. The times\n$\\tau_{\\rm T,x}$ and $\\tau_{\\rm T,y}$ ($\\tau_{\\rm R,x}$ and $\\tau_{\\rm R,y}$)\nare remarkably equal, and independent of the initial position (in front of the\nbarrier) of the packet.",
"arxiv_id": "quant-ph/9605045",
"authors": [
"Andrea Begliuomini",
"Luciano Bracci"
],
"categories": [
"quant-ph"
],
"journal_ref": "Nuovo Cim. B112 (1997) 603-612",
"title": "The tunneling time for a wave packet as measured with a physical clock",
"url": "https://arxiv.org/abs/quant-ph/9605045"
},
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