https://doi.org/10.1140/epjp/s13360-023-03952-z
Regular Article
Quantized relativistic time-of-arrival operators for spin-0 particles and the quantum tunneling time problem
1
Theoretical Physics Group, National Institute of Physics, University of the Philippines Diliman, 1101, Quezon City, Philippines
2
Max-Born-Institute, Max-Born-Str. 2A, 12489, Berlin, Germany
Received:
21
December
2022
Accepted:
4
April
2023
Published online:
3
May
2023
We provide a full account of our recent report (Flores and Galapon in EPL 141:10001, 2023) which constructed a quantized relativistic time-of-arrival operator for spin-0 particles using a modified Weyl-ordering rule to calculate the traversal time across a square barrier. It was shown that the tunneling time of a relativistic spin-0 particle is instantaneous under the condition that the barrier height 
is less than the rest mass energy. This implies that instantaneous tunneling is an inherent quantum effect in the context of arrival times.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
