Covariant Variational Evolution and Jacobi brackets: Fields

DOI10.1142/S0217732320502065zbMath1443.70059arXiv2005.14429MaRDI QIDQ4971732

Luca Schiavone, Florio M. Ciaglia, Giuseppe Marmo, Fabio Di Cosmo, Alberto Ibort

Publication date: 12 October 2020

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.14429

zbMATH Keywords

Schrödinger equationcontact manifoldsfield theoryKlein-Gordon theorycovariant brackets

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Contact manifolds (general theory) (53D10) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (2)

Reductions: precontact versus presymplectic ⋮ Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A symplectic framework for field theories
• On the multisymplectic formalism for first order field theories
• Contact manifolds and dissipation, classical and quantum
• Covariant Poisson brackets in geometric field theory
• A new look at relativity transformations
• Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories
• Perturbative Construction of Models of Algebraic Quantum Field Theory
• Some remarks on contact manifolds, Monge–Ampère equations and solution singularities
• Observers and splitting structures in relativistic electrodynamics
• On 3+1 decompositions with respect to an observer field via differential forms
• A gentle introduction to Schwinger’s formulation of quantum mechanics: The groupoid picture
• Dynamical Vector Fields on the Manifold of Quantum States
• From Classical to Quantum Mechanics
• Covariant brackets for particles and fields
• Evolutionary equations and constraints: Maxwell equations
• Schwinger’s picture of quantum mechanics I: Groupoids
• Differential calculus on manifolds with boundary applications
• Covariant Jacobi brackets for test particles
• THE STRUCTURE OF SPACE–TIME: RELATIVITY GROUPS

This page was built for publication: Covariant Variational Evolution and Jacobi brackets: Fields