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On Parasupersymmetries and Relativistic Descriptions for Spin one Particles: I. The Free Context
Author(s) -
Beckers J.,
Debergh N.,
Nikitin A. G.
Publication year - 1995
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190430104
Subject(s) - constructive , physics , hamiltonian (control theory) , context (archaeology) , representation (politics) , theoretical physics , algebra over a field , mathematical physics , quantum mechanics , mathematics , pure mathematics , computer science , mathematical optimization , paleontology , process (computing) , politics , political science , law , biology , operating system
This series of two papers is devoted to a constructive review of the relativistic wave equations for vector mesons due to the recent impact of spin one developments in connection with parasupersymmetric quantum mechanics. The free case as well as the interacting context with an electromagnetic field will be successively visited and discussed. Their associated parasupersymmetric properties will be pointed out. In this first part, the free context is presented by studying systematically the (symmetric) forms of wave equations subtended by a 16‐dimensional reducible representation of the Lie algebra sl (2, C) or, evidently, so (3, 1), this representation playing a well known role in p = 2‐parastatistical developments. Their hamiltonian forms are also discussed and some second order descriptions are finally reviewed.