Tunnelling times, Larmor clock,and the elephant in the room

• URL: http://arxiv.org/abs/2102.03333v1
• Date: Fri, 5 Feb 2021 18:35:33 GMT
• Title: Tunnelling times, Larmor clock,and the elephant in the room
• Authors: D. Sokolovski, E. Akhmatskaya
• Abstract summary: We show that the difficulty with applying a non-perturbing Larmor clock in order to "time" arises from the quantum Uncertainty Principle. We also demonstrate that for this reason a Larmor time (in fact, none of the Larmor times) cannot be interpreted as a physical time interval.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A controversy surrounding the "tunnelling time problem" stems from the seeming inability of quantum mechanics to provide, in the usual way, a definition of the duration a particle is supposed to spend in a given region of space. For this reason the problem is often approached from an "operational" angle. Typically, one tries to mimic, in a quantum case, an experiment which yields the desired result for a classical particle. One such approach is based on the use of a Larmor clock. We show that the difficulty with applying a non-perturbing Larmor clock in order to "time" a classically forbidden transition arises from the quantum Uncertainty Principle. We also demonstrate that for this reason a Larmor time (in fact, none of the Larmor times) cannot be interpreted as a physical time interval. We also provide a theoretical description of the quantities measured by the clock.

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