dorsal/arxiv
View SchemaTunneling times through barrier with inelasticity
| Authors | Arya Paul, Arnab Saha, Swarnali Bandopadhyay, Binayak Dutta-Roy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607038 |
| URL | https://arxiv.org/abs/quant-ph/0607038 |
| DOI | 10.1140/epjd/e2007-00050-8 |
Abstract
Tunneling delay times of wavepackets in quantum mechanical penetration of rectangular barriers have long been known to show a perplexing independence with respect to the width of the barrier. This also has relevence to the transmission of evanescent waves in optics. Some authors have claimed that in the presence of absorption or inelastic channels (which they model by taking a complex barrier potential) this effect no longer exists, in that the time delay becomes proportional to the barrier width. Taking the point of view that complex potentials imply non-Hermitian Hamiltonians and are as such fraught with conceptual pit-falls particularly in connection to problems involving time evolution, we have constructed a two-channel model which does not suffer from such maladies in order to examine this issue. We find that the conclusions arrived at by the earlier authors need to be qualified.
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"abstract": "Tunneling delay times of wavepackets in quantum mechanical penetration of\nrectangular barriers have long been known to show a perplexing independence\nwith respect to the width of the barrier. This also has relevence to the\ntransmission of evanescent waves in optics. Some authors have claimed that in\nthe presence of absorption or inelastic channels (which they model by taking a\ncomplex barrier potential) this effect no longer exists, in that the time delay\nbecomes proportional to the barrier width. Taking the point of view that\ncomplex potentials imply non-Hermitian Hamiltonians and are as such fraught\nwith conceptual pit-falls particularly in connection to problems involving time\nevolution, we have constructed a two-channel model which does not suffer from\nsuch maladies in order to examine this issue. We find that the conclusions\narrived at by the earlier authors need to be qualified.",
"arxiv_id": "quant-ph/0607038",
"authors": [
"Arya Paul",
"Arnab Saha",
"Swarnali Bandopadhyay",
"Binayak Dutta-Roy"
],
"categories": [
"quant-ph"
],
"doi": "10.1140/epjd/e2007-00050-8",
"title": "Tunneling times through barrier with inelasticity",
"url": "https://arxiv.org/abs/quant-ph/0607038"
},
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