Fermi-Bose similarity, supersymmetry and generalized numbers. - II

  • Y. Ohnuki
  • S. Kamefuchi


The study of generalized or g-numbers is continued in connection mainly with their « analytical » properties. The notion of the standard form of functions of g-numbers is redefined in a simpler form. Fourier and its inverse transformations are discussed in detail, and deltafunctions are defined. It is thereby seen that in many respects g-numbers behave in a way very similar to ordinary,i.e. complex and Grassmann numbers.


11.30 Symmetry and conservation laws 


11.10 Field theory 


11.90 Other topics in general field and particle theory 


Si prosegue lo studio dei numeri generalizzati oppure g principalmente in relazione alle loro proprietà analitiche. Si ridefinisce in una forma piú semplice la nozione di forma standard di funzioni dei numeri g. Si disoutono in dettaglio la trasformazione di Fourier e le sue inverse, e si definiscono le funzioni delta. Si osserva quindi che sotto molti aspetti i numeri g si comportano in modo molto simile ai numeri ordinari, cioè ai complessi e ai numeri di Grassmann.


  1. (1).
    Y. Ohnuki andS. Kamefuchi:Nuovo Cimento A,70, 435 (1982); erratum,73, 338 (1983). For other references, see those quoted therein.MathSciNetCrossRefADSGoogle Scholar
  2. (2).
    A. Erdélyi (editor):Tables of Integral Transforms, Vol. 2 (New York, N. Y., 1954), p. 42.Google Scholar
  3. (3).
    Y. Ohnuki andT. Kashiwa:Prog. Theor. Phys. (Kyoto),60, 548 (1978);Y. Ohnuki andS. Kamefuchi:J. Math. Phys. (N. Y.),21, 601 (1980).MathSciNetCrossRefADSGoogle Scholar
  4. (4).
    A. Erdélyi (editor):Higher Transcendental Functions, Vol.2 (New York, N. Y., 1953), p. 189, eq. (20).Google Scholar
  5. (5).
    A. Erdélyi (editor):Higher Transcendental Functions, Vol.2 (New York, N. Y., 1953), p. 86, eq. (5).Google Scholar

Copyright information

© Società Italiana di Fisica 1983

Authors and Affiliations

  • Y. Ohnuki
    • 1
  • S. Kamefuchi
    • 2
  1. 1.Department of PhysicsNagoya UniversityNagoyaJapan
  2. 2.Institute of PhysicsUniversity of TsukubaIbarakiJapan

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