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Questions concerning the generalized Hartman effect
Authors:Shoju KudakaShuichi Matsumoto
Institution:a Department of Physics, University of the Ryukyus, Okinawa 903-0129, Japan
b Department of Mathematics, University of the Ryukyus, Okinawa 903-0129, Japan
Abstract: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 generalized Hartman effect. In this Letter, we point out a lack of mathematical rigor 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.
Keywords:Tunneling time  Generalized Hartman effect  Stationary phase method  Superluminality
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