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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)
How to cite: Rakotonirina, C. Energy Vector and Time Vector in the Dirac Theory. Preprints 2020, 2020070472 Rakotonirina, C. Energy Vector and Time Vector in the Dirac Theory. Preprints 2020, 2020070472
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.
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Commenter: Christian Rakotonirina
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