dorsal/arxiv
View SchemaDwell times for transmission and reflection
| Authors | N. L. Chuprikov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502073 |
| URL | https://arxiv.org/abs/quant-ph/0502073 |
Abstract
As was shown in quant-ph/0405028, the state of a tunneling particle can be uniquely presented as a coherent superposition of two states to describe alternative sub-processes, transmission and reflection. In this paper, on the basis of the stationary wave functions for these sub-processes, we give new definitions of the dwell times for transmission and reflection. In the case of rectangular potential barriers the dwell times are obtained explicitly. In contrast with the well-known B\"{u}ttiker's dwell-time, our dwell time for transmission increases exponentially, for the under-barrier tunneling, with increasing the barrier's width. By our approach the well-known Hartman effect is rather an artifact resulted from an improper interpretation of the wave-packet tunneling and experimental data, but not a real physical effect accompanying the tunneling phenomenon.
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"abstract": "As was shown in quant-ph/0405028, the state of a tunneling particle can be\nuniquely presented as a coherent superposition of two states to describe\nalternative sub-processes, transmission and reflection. In this paper, on the\nbasis of the stationary wave functions for these sub-processes, we give new\ndefinitions of the dwell times for transmission and reflection. In the case of\nrectangular potential barriers the dwell times are obtained explicitly. In\ncontrast with the well-known B\\\"{u}ttiker\u0027s dwell-time, our dwell time for\ntransmission increases exponentially, for the under-barrier tunneling, with\nincreasing the barrier\u0027s width. By our approach the well-known Hartman effect\nis rather an artifact resulted from an improper interpretation of the\nwave-packet tunneling and experimental data, but not a real physical effect\naccompanying the tunneling phenomenon.",
"arxiv_id": "quant-ph/0502073",
"authors": [
"N. L. Chuprikov"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"title": "Dwell times for transmission and reflection",
"url": "https://arxiv.org/abs/quant-ph/0502073"
},
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