A mathematically rigorous approach raises questions concerning the generalized Hartman effect

Details A mathematically rigorous approach raises questions concerning the generalized Hartman effect A mathematically rigorous approach raises questions concerning the generalized Hartman effect

2011-05-11

arxiv.org/abs/1105.2159v1

Physics

Quantum Physics

14 pages, 6 figures

Scientific paper

With reference to a particle tunneling through two successive barriers, it seems to have been generally accepted that the tunneling time does not depend on the separation distance between the barriers. This phenomenon has been called the {\it generalized Hartman effect}. In this letter, we point out a lack of mathematical rigour in the reasoning by which this effect was deduced about ten years ago. A mathematically rigorous treatment shows us that the tunneling time does indeed depend on the length of the free space between the barriers.

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