Working Paper Article Version 3 This version is not peer-reviewed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)

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.

Subject Areas

Tunnelling time; helicity; time dilation; Dirac equation; superluminal velocity

Comments (1)

Comment 1
Received: 26 May 2021
Commenter: Christian Rakotonirina
Commenter's Conflict of Interests: Author
Comment: English language and grammar have been improved. An error has been corrected. Introduction and conclusion have been improved.
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