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Covariant Variational Evolution and Jacobi brackets: Fields

Max Planck Institute for Mathematics in the Sciences, Inselstraße 22, 04103 Leipzig, Germany

Instituto de Ciencias Matemáticas (CSIC – UAM – UC3M – UCM) ICMAT Campus Cantoblanco UAM, C/ Nicolàs Cabrera, 13-15, 28049 Madrid, Spain

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

E-mail Address: fcosmo@math.uc3m.es

Corresponding author.

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A. Ibort

Instituto de Ciencias Matemáticas (CSIC – UAM – UC3M – UCM) ICMAT Campus Cantoblanco UAM, C/ Nicolàs Cabrera, 13-15, 28049 Madrid, Spain

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

E-mail Address: albertoi@math.uc3m.es

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G. Marmo

Dipartimento di Fisica E. Pancini dell Universitá Federico II di Napoli and INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, via Cintia, 80126, Naples, Italy

E-mail Address: marmo@na.infn.it

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, and

L. Schiavone

Dipartimento di Matematica e Applicazioni R. Caccioppoli dell’ Universitá di Napoli Federico II, Complesso Universitario di Monte S. Angelo, via Cintia, 80126, Naples, Italy

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

E-mail Address: luca.schiavone@unina.it

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https://doi.org/10.1142/S0217732320502065Cited by:2 (Source: Crossref)

Abstract

The analysis of the covariant brackets on the space of functions on the solutions to a variational problem in the framework of contact geometry initiated in the companion letter $^{19}$ is extended to the case of the multisymplectic formulation of the free Klein–Gordon theory and of the free Schrödinger equation.

Keywords:

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