Canonical transformations theory for presymplectic systems | Zendy

José F. Cariñena | Zendy; Joaquim Gomis | Zendy; Alberto Ibort | Zendy; N. Román | Zendy

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Canonical transformations theory for presymplectic systems

Author(s) -

José F. Cariñena,

Joaquim Gomis,

Alberto Ibort,

N. Román

Publication year - 1985

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.526864

Subject(s) - mathematics , symplectic geometry , canonical form , canonical transformation , phase space , pure mathematics , non canonical , symplectic group , space (punctuation) , link (geometry) , function (biology) , algebra over a field , computer science , physics , quantum mechanics , combinatorics , evolutionary biology , quantum , biology , microbiology and biotechnology , operating system

We develop a theory of canonical transformations for presymplectic systems, reducing this concept to that of canonical transformations for regular coisotropic canonical systems. In this way we can also link these with the usual canonical transformations for the symplectic reduced phase space. Furthermore, the concept of a generating function arises in a natural way as well as that of gauge group

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