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Il Nuovo Cimento A (1965-1970)

, Volume 86, Issue 2, pp 151–156 | Cite as

Application of the Lie-admissible approach to an extended particle

  • M. Nishioka
Article
  • 13 Downloads

Summary

We study the Lie-admissible lifting of the commutation relations between field operators, the four-momentum operators and the co-ordinate operators. By choosing suitable admissible elements we can show that a set of the Lie-admissible lifting of the commutation relations corresponds to the equations of Yukawa's bilocal field theory or to the equations of a relativistic oscillator model by Takabayashi. By making use of another set of the Lie-admissible lifting of the commutation relations, we show the deformation of an extended particle.

PACS

11.10. Field theory 

Riassunto

Si studia il lifting ammissibile secondo Lie delle relazioni tra operatori di campo, gli operatori del quadriimpulso e gli operatori di coordinata. Scegliendo elementi ammissibili adatti si può mostrare che un insieme del lifting ammissibile secondo Lie delle relazioni di commutazione corrispondono alle equazioni della teoria dei campi bilocale di Yukawa o alle equazioni di un modello dell'oscillatore relativistico di Takabayashi. Facendo uso di un altro insieme del lifting ammissibile secondo Lie delle relazioni di commutazione si mostra una deformazione di una particella estesa.

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References

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Copyright information

© Società Italiana di Fisica 1985

Authors and Affiliations

  • M. Nishioka
    • 1
  1. 1.Department of Physics, Faculty of Liberal ArtsYamaguchi UniversityYamaguchiJapan

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