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

2022/12/01 by Flores, Philip Caesar, Galapon, Eric A.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2212.00343

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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• Instantaneous tunneling of relativistic massive spin-0 particles
• Instantaneous tunneling time within the theory of time-of-arrival operators
• Realistic solution to the tunneling time problem
• Time of arrival through a quantum barrier
• Why relativity allows quantum tunnelling to 'take no time'?