Volume 141, Number 1, January 2023
|Number of page(s)
|04 January 2023
Instantaneous tunneling of relativistic massive spin-0 particles
Theoretical Physics Group, National Institute of Physics University of the Philippines Diliman 1101 Quezon City, Philippines
Received: 21 October 2022
Accepted: 21 December 2022
The tunneling time problem studied earlier in Phys. Rev. Lett., 108 (2012) 170402, using a non-relativistic time-of-arrival (TOA) operator predicted that tunneling time is instantaneous. This raises the question whether instantaneous tunneling time is a consequence of using a non-relativistic theory. Here, we extend the analysis by proposing a formalism on the construction of relativistic TOA operators for spin-0 particles in the presence of an interaction potential V (q) via quantization. We then construct the corresponding barrier traversal time operator, and impose the condition that the barrier height Vo is less than the rest mass energy of the particle. We show that only the above-barrier energy components of the incident wavepackets momentum distribution contribute to the barrier traversal time while the below-barrier components are transmitted instantaneously.
© 2023 EPLA
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