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A generalized treatment of point canonical transformations in the path integral

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Il Nuovo Cimento B (1971-1996)

Summary

We investigate nonlinear point canonical transformations within the path integral when an arbitrary discrete procedure is used for defining this integral. A complete derivation of the so-called additional potential, entirely carried out within the functional formalism, is given in this general case. We also present an extension of the average method of McLaughlin and Schulman.

Riassunto

Si studiano trasformazioni canoniche puntiformi non lineari entro l’integrale di percorso quando si usa una procedura arbitraria discreta per definire tale integrale. Si da in questo caso generale una derivazione completa del cosiddetto potenziale addizionale, ottenuto interamente nell'àmbito del formalismo funzionale. Si presenta anche un’estensione del metodo della media di McLaughlin e Schulman.

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Authors and Affiliations

  1. Instituto de Física, Universidade Federal do Rio Grande do Sul, 90000, Porto Alegre, RS, Brasil

    H. O. Girotti & T. J. M. Simões

Authors
  1. H. O. Girotti
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  2. T. J. M. Simões
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Additional information

To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.

Supported in part by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) e Financiadora de Estudos e Projectos (FINEP), Brasil.

Traduzione a cura della Redazione.

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Girotti, H.O., Simões, T.J.M. A generalized treatment of point canonical transformations in the path integral. Nuov Cim B 74, 59–66 (1983). https://doi.org/10.1007/BF02721685

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  • DOI: https://doi.org/10.1007/BF02721685

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