Spin 1 2 properties of massless particles of any spin

by Professor Alexander Gersten

at Particles and Fields Seminar

Mon, 27 Mar 2017, 14:00
Physics building (#54) room 207

Abstract

In previous papers we have derived quantum 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 1 2 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 rst 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 1 2 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 1 2 equation Key words: wave equations massless particles any spin helicity equations bi quaternion

Created on 19-03-2017 by Bar Lev, Yevgeny (ybarlev)
Updaded on 19-03-2017 by Bar Lev, Yevgeny (ybarlev)