Article
Version 2
This version is not peer-reviewed
Energy Vector and Time Vector in the Dirac Theory
Version 1
: Received: 16 July 2020 / Approved: 21 July 2020 / Online: 21 July 2020 (03:16:16 CEST)
Version 2 : Received: 1 October 2020 / Approved: 5 October 2020 / Online: 5 October 2020 (11:07:17 CEST)
Version 3 : Received: 25 May 2021 / Approved: 26 May 2021 / Online: 26 May 2021 (14:17:55 CEST)
Version 2 : Received: 1 October 2020 / Approved: 5 October 2020 / Online: 5 October 2020 (11:07:17 CEST)
Version 3 : Received: 25 May 2021 / Approved: 26 May 2021 / Online: 26 May 2021 (14:17:55 CEST)
A peer-reviewed article of this Preprint also exists.
Rakotonirina, C. Energy Vector and Time Vector in the Dirac Theory. Physical Science International Journal 2022, 52–62, doi:10.9734/psij/2022/v26i430320. Rakotonirina, C. Energy Vector and Time Vector in the Dirac Theory. Physical Science International Journal 2022, 52–62, doi:10.9734/psij/2022/v26i430320.
Abstract
We have introduced a sign operator of energy, analogous to the operator helicity, but in the direction of what we call energy vector. However, this energy vector need time vector. For giving physical senses to the components of such time vector we try to explain the time dilation in special relativity in terms of them and try to relate them to the tunnelling times when an electron crosses a potential barrier.
Keywords
Tunnelling time; helicity; time dilation; Dirac equation; superluminal velocity
Subject
Physical Sciences, Particle and Field Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Commenter: Christian Rakotonirina
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