Covariant brackets for particles and fields

Author:

Asorey M.1,Ciaglia M.23,Di Cosmo F.23,Ibort A.45

Affiliation:

1. Departamento de Física Teórica, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain

2. Dipartimento di Fisica “E. Pancini” dell Universitá “Federico II” di Napoli, Complesso Universitario di Monte S. Angelo, via Cintia, 80126 Naples, Italy

3. Sezione INFN di Napoli, Complesso Universitario di Monte S. Angelo, via Cintia, 80126 Naples, Italy

4. Departamento de Matemáticas, Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés, Madrid, Spain

5. ICMAT, Instituto de Ciencias Matemáticas (CSIC – UAM – UC3M – UCM), Nicolás Cabrera, 13–15, Campus de Cantoblanco, UAM, 28049 Madrid, Spain

Abstract

A geometrical approach to the covariant formulation of the dynamics of relativistic systems is introduced. A realization of Peierls brackets by means of a bivector field over the space of solutions of the Euler–Lagrange equations of a variational principle is presented. The method is illustrated with some relevant examples.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Reference13 articles.

1. The commutation laws of relativistic field theory

2. Documents on Modern Physics;DeWitt B. S.,1965

3. Geometry of quantum systems: density states and entanglement

4. Lecture Notes in Physics;Balachandran A. P.,1983

5. QUANTUM BUNDLES AND THEIR SYMMETRIES

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