Spin 1/2 properties of massless particles of any spin

In previous papers we have derived wave equations for massless particles of any spin. In this paper we found that all these equations, are equations of the helicity operator and are similar in form to the spin one-half equation. In these equations the helicity operators are reducible representations...

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Veröffentlicht in:Journal of physics. Conference series 2017-05, Vol.845 (1), p.12011
Hauptverfasser: Gersten, Alexander, Moalem, Amnon
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description In previous papers we have derived wave equations for massless particles of any spin. In this paper we found that all these equations, are equations of the helicity operator and are similar in form to the spin one-half equation. In these equations the helicity operators are reducible representations of the helicity operator of spin one-half. The helicity of massless particles of any spin can have only projections in the forward and backward direction of the momentum. In order to have equations with this property, subsidiary conditions have to be imposed. We have developed a first quantized equations for massless particles of any spin for which the subsidiary conditions were implicitly included in the main equation. The helicity operators of these equations are reducible representations of the spin one half helicity operator. A new feature of this paper is to use this reducibility to present higher spin equation with its lower spin equivalent. As an application we recover the bi-quaternionic form of Maxwell's equations (spin 1 equation in a form of spin one-half equation).
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subjects any spin
bi-quaternions
Helicity
helicity equations
massless particles
Mathematical analysis
Operators
Particle spin
Physics
Representations
Wave equations
title Spin 1/2 properties of massless particles of any spin
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