dorsal/arxiv
View SchemaPhysical mechanism of superluminal traversal time: interference between multiple finite wave packets
| Authors | Xi Chen, Chun-Fang Li |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611154 |
| URL | https://arxiv.org/abs/quant-ph/0611154 |
| DOI | 10.1209/0295-5075/82/30009 |
| Journal | EPL, 82 (2008) 30009 |
Abstract
The mechanism of superluminal traversal time through a potential well or potential barrier is investigated from the viewpoint of interference between multiple finite wave packets, due to the multiple reflections inside the well or barrier. In the case of potential-well traveling that is classically allowed, each of the successively transmitted constituents is delayed by a subluminal time. When the thickness of the well is much smaller in comparision with a characteristic length of the incident wave packet, the reshaped wave packet in transmission maintains the profile of the incident wave packet. In the case of potential-barrier tunneling that is classically forbidden, though each of the successively transmitted constituents is delayed by a time that is independent of the barrier thickness, the interference between multiple transmitted constituents explains the barrier-thickness dependence of the traversal time for thin barriers and its barrier-thickness independence for thick barriers. This manifests the nature of Hartman effect.
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"abstract": "The mechanism of superluminal traversal time through a potential well or\npotential barrier is investigated from the viewpoint of interference between\nmultiple finite wave packets, due to the multiple reflections inside the well\nor barrier. In the case of potential-well traveling that is classically\nallowed, each of the successively transmitted constituents is delayed by a\nsubluminal time. When the thickness of the well is much smaller in comparision\nwith a characteristic length of the incident wave packet, the reshaped wave\npacket in transmission maintains the profile of the incident wave packet. In\nthe case of potential-barrier tunneling that is classically forbidden, though\neach of the successively transmitted constituents is delayed by a time that is\nindependent of the barrier thickness, the interference between multiple\ntransmitted constituents explains the barrier-thickness dependence of the\ntraversal time for thin barriers and its barrier-thickness independence for\nthick barriers. This manifests the nature of Hartman effect.",
"arxiv_id": "quant-ph/0611154",
"authors": [
"Xi Chen",
"Chun-Fang Li"
],
"categories": [
"quant-ph"
],
"doi": "10.1209/0295-5075/82/30009",
"journal_ref": "EPL, 82 (2008) 30009",
"title": "Physical mechanism of superluminal traversal time: interference between multiple finite wave packets",
"url": "https://arxiv.org/abs/quant-ph/0611154"
},
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