Quantized relativistic time-of-arrival operators for spin-0 particles and the quantum tunneling time problem

• URL: http://arxiv.org/abs/2212.00343v3
• Date: Thu, 23 Mar 2023 11:39:47 GMT
• Title: Quantized relativistic time-of-arrival operators for spin-0 particles and the quantum tunneling time problem
• Authors: Philip Caesar Flores and Eric A. Galapon
• Abstract summary: It was shown that the tunneling time of a relativistic spin-0 particle is instantaneous under the condition that the barrier height $V_o$ is less than the rest mass energy. This implies that instantaneous tunneling is an inherent quantum effect in the context of arrival times.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We provide a full account of our recent report (EPL, 141 (2023) 10001}) 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 $V_o$ is less than the rest mass energy. This implies that instantaneous tunneling is an inherent quantum effect in the context of arrival times.

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