Article
Version 3
This version is not peer-reviewed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 needs a time vector. To give physical senses to the components of such a time vector, we try to explain the time dilation in special relativity and try to relate the components of the time vector to the tunneling times when an electron crosses a potential barrier.
Keywords
Tunnelling time; helicity; time dilation; Dirac equation; superluminal velocity
Subject
Physical Sciences, Acoustics
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.
Comments (1)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
Commenter: Christian Rakotonirina
Commenter's Conflict of Interests: Author