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A strengthened No-Go theorem for fermi fields obeying CAR

Усиленная теорема ICAR для полей Ферми, подчиняюшихся CAR

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Il Nuovo Cimento A (1965-1970)

Summary

We prove a generalization of the ICAR theorem of Powers without using any invariance properties, and then show that the assumptions of that theorem in fact yield a canonical form for the field equation.

Riassunto

Si dimostra una generalizzazione del teorema ICAR di Powers senza usare alcuna proprietà d’invarianza, e quindi si mostra che i suoi assunti nei fatti producono una forma canonica per l’equazione del campo.

Реэюме

Мы докаэываем обобшение теоремы ICAR беэ испольэования каких-либо свойств инвариантности. Затем мы покаэываем, что предположения работы, в действительности, обеспечивают каноническую форму для уравнений поля.

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Literatur

  1. R. T. Powers:Comm. Math. Phys.,4, 145 (1966/67).

    Article  MathSciNet  ADS  Google Scholar 

  2. K. Sinha: Thesis, Rochester (1969) (unpublished).

  3. W. Driessler: Diplomarbeit, Göttingen (1972) (unpublished).

  4. J. Dixmier:Les algèbres d’opérateurs dans l’espace hilbertien (Paris, 1969).

  5. J. Glimm andA. Jaffe:Ann. of Math.,91, 326 (1971).

    MathSciNet  MATH  Google Scholar 

  6. J. Glimm andA. Jaffe:Journ. Funct. Anal.,7, 323 (1971).

    Article  MathSciNet  Google Scholar 

  7. I. M. Gelfand, R. A. Minlos andZ. Ya. Shapiro:Representations of the Rotation and Lorentz Groups and Their Applications (New York, N. Y., 1963).

  8. R. T. Powers: Thesis, Princeton, N. J. (1967) (unpublished).

  9. J. Dixmier:Les C*-algèbres et leurs représentations (Paris, 1969).

  10. A. P. Robertson andW. J. Robertson:Topologische Vektorräume, Bibliographisches Institut Mannheim (1967).

  11. R. Narasimhan:Analysis on Real and Complex Manifolds (Amsterdam, 1969).

  12. F. Trèves:Topological Vector Spaces, Distributions and Kernels (London, 1967).

  13. L. Schwartz:Théorie des distributions (Paris, 1966).

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Driessler, W. A strengthened No-Go theorem for fermi fields obeying CAR. Nuov Cim A 21, 583–591 (1974). https://doi.org/10.1007/BF02731358

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  • DOI: https://doi.org/10.1007/BF02731358

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