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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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). |
doi_str_mv | 10.1088/1742-6596/845/1/012011 |
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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).</description><subject>any spin</subject><subject>bi-quaternions</subject><subject>Helicity</subject><subject>helicity equations</subject><subject>massless particles</subject><subject>Mathematical analysis</subject><subject>Operators</subject><subject>Particle spin</subject><subject>Physics</subject><subject>Representations</subject><subject>Wave equations</subject><issn>1742-6588</issn><issn>1742-6596</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>O3W</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNqFkE9LAzEQxYMoWKtfQQKePKybyf89yqJVKShUzyHdJrCl3Y3J9tBvb8pKRRDMJWHyfm9mHkLXQO6AaF2C4rSQopKl5qKEkgAlACdocvw4Pb61PkcXKa0JYfmoCRKL0HYYSopD7IOLQ-sS7j3e2pQ2LiUcbK41m7Fquz1OGbhEZ95ukrv6vqfo4_HhvX4q5q-z5_p-XjSc6KEQijBgzoP1nmoqVhqIckCcdcslFwCCKysb59mqccIL6j3nvJKVklW1rCSbopvRNw_3uXNpMOt-F7vc0lChuFIsC7NKjqom9ilF502I7dbGvQFiDhGZw_bmkITJERkwY0QZpCPY9uHH-V_o9g_o5a1e_NKZsPLsCzuZc4w</recordid><startdate>20170501</startdate><enddate>20170501</enddate><creator>Gersten, Alexander</creator><creator>Moalem, Amnon</creator><general>IOP Publishing</general><scope>O3W</scope><scope>TSCCA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>L7M</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope></search><sort><creationdate>20170501</creationdate><title>Spin 1/2 properties of massless particles of any spin</title><author>Gersten, Alexander ; Moalem, Amnon</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c408t-570313ef1aff2825d8107e10eaebb4511547a6cef3dce5f52ff4449697699b963</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>any spin</topic><topic>bi-quaternions</topic><topic>Helicity</topic><topic>helicity equations</topic><topic>massless particles</topic><topic>Mathematical analysis</topic><topic>Operators</topic><topic>Particle spin</topic><topic>Physics</topic><topic>Representations</topic><topic>Wave equations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gersten, Alexander</creatorcontrib><creatorcontrib>Moalem, Amnon</creatorcontrib><collection>IOP Publishing Free Content</collection><collection>IOPscience (Open Access)</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Aerospace Database</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><jtitle>Journal of physics. 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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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