Il Nuovo Cimento A (1965-1970)

, Volume 48, Issue 3, pp 257–270 | Cite as

A Lagrangian for two interacting relativistic particles: Canonical formulation

  • D. Dominici
  • J. Gomis
  • G. Longhi


The canonical formalism of a singular-Lagrangian model describing the interaction between two relativistic particles is studied. Instead of following the Dirac method, we make use of a canonical transformation that enables us to work in the complete phase space. The covariance and the quantization of the model are discussed.

Лагранжиан для двух взаимодействующих релятивистских частиц. Канонический формализм


Исследуется канонический формализм для модели с сингулярным Лагранжианом, которая описывает взаимодействие между двумя редятивистскими частицами. Вместо того, чтобы следовать методу Дирака, мы используем каноническое преобразование, которое позволяет нам работать в фазовом пространстве. Обсуждаются ковариантность и квантование предложенной модели.


Si studia il formalismo canonico di un modello con lagrangiana singolare che descrive l’interazione di due particelle relativistiche. Invece di seguire il metodo di Dirac, si fa uso di una trasformazione canonica che ci permette di lavorare nello spazio delle fasi completo. La covarianza e la quantizzazione del modello sono studiate.


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Copyright information

© Società Italiana di Fisica 1978

Authors and Affiliations

  • D. Dominici
    • 1
  • J. Gomis
    • 2
  • G. Longhi
    • 1
    • 3
  1. 1.Istituto Nazionale di Fisica NucleareSezione di FirenzeFirenzeItaly
  2. 2.Departamento de Física TeoricaUniversidad de BarcelonaBarcelona
  3. 3.Istituto di Fisica Teorica dell’UniversitàFirenze

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