Dissipative Effect and Tunneling Time

Dissipative Effect and Tunneling Time

The quantum Langevin equation has been studied for dissipative system using the approach of Ford et al. Here, we have considered the inverted harmonic oscillator potential and calculated the effect of dissipation on tunneling time, group delay, and the self-interference term. A critical value of the...

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Main Authors: Samyadeb Bhattacharya, Sisir Roy
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2011/138358
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spelling doaj-0c7d5294d78c4f43bd05d2b518d8c4202021-07-02T13:52:06ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392011-01-01201110.1155/2011/138358138358Dissipative Effect and Tunneling TimeSamyadeb Bhattacharya0Sisir Roy1Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata 700 108, IndiaPhysics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata 700 108, IndiaThe quantum Langevin equation has been studied for dissipative system using the approach of Ford et al. Here, we have considered the inverted harmonic oscillator potential and calculated the effect of dissipation on tunneling time, group delay, and the self-interference term. A critical value of the friction coefficient has been determined for which the self-interference term vanishes. This approach sheds new light on understanding the ion transport at nanoscale.http://dx.doi.org/10.1155/2011/138358
collection DOAJ
language English
format Article
sources DOAJ
author Samyadeb Bhattacharya
Sisir Roy
spellingShingle Samyadeb Bhattacharya
Sisir Roy
Dissipative Effect and Tunneling Time
Advances in Mathematical Physics
author_facet Samyadeb Bhattacharya
Sisir Roy
author_sort Samyadeb Bhattacharya
title Dissipative Effect and Tunneling Time
title_short Dissipative Effect and Tunneling Time
title_full Dissipative Effect and Tunneling Time
title_fullStr Dissipative Effect and Tunneling Time
title_full_unstemmed Dissipative Effect and Tunneling Time
title_sort dissipative effect and tunneling time
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2011-01-01
description The quantum Langevin equation has been studied for dissipative system using the approach of Ford et al. Here, we have considered the inverted harmonic oscillator potential and calculated the effect of dissipation on tunneling time, group delay, and the self-interference term. A critical value of the friction coefficient has been determined for which the self-interference term vanishes. This approach sheds new light on understanding the ion transport at nanoscale.
url http://dx.doi.org/10.1155/2011/138358
work_keys_str_mv AT samyadebbhattacharya dissipativeeffectandtunnelingtime
AT sisirroy dissipativeeffectandtunnelingtime
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