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Advances in Mathematical Physics
Volume 2011, Article ID 138358, 13 pages
Research Article

Dissipative Effect and Tunneling Time

Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata 700 108, India

Received 15 March 2011; Revised 7 June 2011; Accepted 10 June 2011

Academic Editor: Yao-Zhong Zhang

Copyright © 2011 Samyadeb Bhattacharya and Sisir Roy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.