The classical mechanics for bose-fermi systems View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1976-06

AUTHORS

R. Casalbuoni

ABSTRACT

In this paper we study in a systematic way the classical mechanics of systems described byc-number variables and by Grassmann variables. We derive the general form of the nonrelativistic action and we study the theory of canonical transformations. For a general action, we show that the Jacobian matrices of the canonical transformations acting onN Grassmann variables form a groupON, N. This group becomesON for the nonrelativistic action, due to the presence of second-class constraints. We study some examples which give rise to a correct classical description of the spin. Considering a relativistic extension of one of these models, we get a first quantized «substratum» for the superfield theories. More... »

PAGES

389-431

References to SciGraph publications

  • 1974-12. The relativistic point revisited in the light of the string model in IL NUOVO CIMENTO A (1965-1970)
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02729860

    DOI

    http://dx.doi.org/10.1007/bf02729860

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