New approach to the quantum tunneling process: Characteristic times for transmission and reflectionReport as inadecuate




New approach to the quantum tunneling process: Characteristic times for transmission and reflection - Download this document for free, or read online. Document in PDF available to download.

Russian Physics Journal

, Volume 49, Issue 3, pp 314–325

Received: 21 September 2005

Abstract

In 1 we have demonstrated that scattering of a quantum particle on a one-dimensional potential barrier should be considered as a combined process involving two alternative elementary transmission and reflection processes. For symmetric potential barriers, we have found solutions of the Schrödinger equation which describe the transmission and reflection processes in all stages of scattering. The present work studies time aspects of both processes. The local and asymptotic group tunneling times, dwell time, and Larmor tunneling time are determined for each process. Among these time characteristics, the group tunneling times should be considered as auxiliary. As to the dwell and Larmor tunneling times, they are the best estimates of the expected values of times the quantum particle in stationary and localized nonstationary states dwells in the barrier region. Moreover, the Larmor time is simply the dwell time averaged over the corresponding ensemble of particles. This characteristic can be measured experimentally and hence the suggested model of scattering can be verified.

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 72–81, March, 2006.

Download to read the full article text



Author: N. L. Chuprikov

Source: https://link.springer.com/







Related documents