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Physics Letters A

Questions concerning the generalized Hartman effect

Shoju Kudaka, Shuichi Matsumoto

Published Jul 26, 2011• 20 citations
Publisher
DOI
10.1016/j.physleta.2011.07.036

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Reply to “Comment on: ‘Questions concerning the generalized Hartman effect’ [Phys. Lett. A 375 (2011) 3259]”

Shoju Kudaka, Shuichi Matsumoto

Physics Letters A•Mar 1, 2012•9 citations

A mathematically rigorous approach raises questions concerning the generalized Hartman effect

Shoju Kudaka, Shuichi Matsumoto

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.

arXiv:1105.2159•May 11, 2011•0 citations
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.