Il Nuovo Cimento A (1965-1970)

, Volume 2, Issue 1, pp 122–138 | Cite as

On a semi-group approach to quantum field equations

  • E. Salusti
  • A. Tesei
Article

Summary

Some field equations, suggested by the Thirring and Federbush models in quantum field theory are studied in a two-dimensional space-time. The theory of nonlinear semi-groups is used. The unknowns are functions whose values are bounded operators on a Hilbert space. The existence and uniqueness of the global solution is proved.

О полугрупповом подходе к уравнениям квантовой теории поля

Реэюме

В двумерном пространстве-времени исследуются некоторые уравнения поля, предложенные в моделях Тирринга и Федербуща в квантовой теории поля. Испольэуется теория нелинейной полугруппы. Неиэвестными являются функции, чьи эначения представляют ограниченные операторы в гильбертовом пространстве. Докаэывается сушествование и единственность обшего рещения.

Riassunto

Si studiano in uno spaziotempo bidimensionale, usando la teoria dei semigruppi non lineari, varie equazioni di campo suggerite dai modelli di Thirring e di Federbush. Le incognite sono funzioni a valori operatori limitati su uno spazio di Hilbert. Si dimostra l’esistenza ed unicità della soluzione globale.

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Copyright information

© Società Italiana di Fisica 1971

Authors and Affiliations

  • E. Salusti
    • 1
    • 2
  • A. Tesei
    • 3
  1. 1.Sezione di RomaIstituto Nazionale di Fisica NucleareItaly
  2. 2.Istituto di Fisica dell’UniversitàRoma
  3. 3.Istituto di Matematica dell’UniversitàRoma

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