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2017-Sustainable Industrial Processing Summit
SIPS 2017 Volume 6: Mathematics, Multiscale Mechanics, Coatings

Editors:Kongoli F, Masset P, Rokicki P
Publisher:Flogen Star OUTREACH
Publication Year:2017
Pages:142 pages
ISBN:978-1-987820-71-3
ISSN:2291-1227 (Metals and Materials Processing in a Clean Environment Series)

    On the Negative-Energy 4-Spinors and Masses in the Dirac Equation

    Valeriy Dvoeglazov1;
    1UNIVERSIDAD DE ZACATECAS, Zacatecas, Mexico;
    Type of Paper: Regular
    Id Paper: 36
    Topic: 38

    Abstract:

    It is easy to check that both algebraic equation $Det (hat p - m) =0$ and $Det (hat p + m) =0$ for $u-$ and $v-$ 4-spinors have solutions with $p_0= pm E_p =pm sqrt{{bf p}^2 +m^2}$. The same is true for higher-spin equations. Meanwhile, every book considers
    the equality $p_0=E_p$ for both $u-$ and $v-$ spinors of the $(1/2,0)oplus (0,1/2))$ representation only, thus applying the Dirac-Feynman-Stueckelberg procedure for elimination of the negative-energy solutions. The recent Ziino works (and, independently,
    the articles of several others) show that the Fock space can be doubled. We re-consider this possibility on the quantum field level for both $s=1/2$ and higher spin particles.

    Keywords:

    cosmology; hadronic mechanics; physics; quantum mechanics;

    Full Text:

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    Cite this article as:

    Dvoeglazov V. On the Negative-Energy 4-Spinors and Masses in the Dirac Equation. In: Kongoli F, Masset P, Rokicki P, editors. Sustainable Industrial Processing Summit SIPS 2017 Volume 6: Mathematics, Multiscale Mechanics, Coatings. Volume 6. Montreal(Canada): FLOGEN Star Outreach; 2017. p. 110-111.