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

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 “oper...

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Autores principales:	D. Sokolovski, E. Akhmatskaya
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/4b9dc978784346f88bc0230eb6dc1dd7
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spelling	oai:doaj.org-article:4b9dc978784346f88bc0230eb6dc1dd72021-12-02T17:02:13ZTunnelling times, Larmor clock, and the elephant in the room10.1038/s41598-021-89247-82045-2322https://doaj.org/article/4b9dc978784346f88bc0230eb6dc1dd72021-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-89247-8https://doaj.org/toc/2045-2322Abstract 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, any Larmor time) cannot be interpreted as a physical time interval. We provide a theoretical description of the quantities measured by the clock.D. SokolovskiE. AkhmatskayaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-8 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q D. Sokolovski E. Akhmatskaya Tunnelling times, Larmor clock, and the elephant in the room
description	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, any Larmor time) cannot be interpreted as a physical time interval. We provide a theoretical description of the quantities measured by the clock.
format	article
author	D. Sokolovski E. Akhmatskaya
author_facet	D. Sokolovski E. Akhmatskaya
author_sort	D. Sokolovski
title	Tunnelling times, Larmor clock, and the elephant in the room
title_short	Tunnelling times, Larmor clock, and the elephant in the room
title_full	Tunnelling times, Larmor clock, and the elephant in the room
title_fullStr	Tunnelling times, Larmor clock, and the elephant in the room
title_full_unstemmed	Tunnelling times, Larmor clock, and the elephant in the room
title_sort	tunnelling times, larmor clock, and the elephant in the room
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/4b9dc978784346f88bc0230eb6dc1dd7
work_keys_str_mv	AT dsokolovski tunnellingtimeslarmorclockandtheelephantintheroom AT eakhmatskaya tunnellingtimeslarmorclockandtheelephantintheroom
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Tunnelling times, Larmor clock, and the elephant in the room

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