Summary
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.
Riassunto
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.
Резюме
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.
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Dominici, D., Gomis, J. & Longhi, G. A Lagrangian for two interacting relativistic particles: Canonical formulation. Nuov Cim A 48, 257–270 (1978). https://doi.org/10.1007/BF02781594
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DOI: https://doi.org/10.1007/BF02781594