Working Paper Article Version 1 This version is not peer-reviewed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)

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 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.

Subject Areas

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

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