Covariant variational evolution and Jacobi brackets: Particles

DOI10.1142/S0217732320200011zbMath1443.70043arXiv2005.04872MaRDI QIDQ4971728

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

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/2005.04872

zbMATH Keywords

Hamiltonian mechanicscontact manifoldsJacobi brackets

Mathematics Subject Classification ID

Hamilton's equations (70H05) Applications of differential geometry to physics (53Z05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Contact manifolds (general theory) (53D10) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

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Cites Work

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• A symplectic framework for field theories
• On the multisymplectic formalism for first order field theories
• Contact manifolds and dissipation, classical and quantum
• Algebraic structure of classical field theory: kinematics and linearized dynamics for real scalar fields
• Perturbative Construction of Models of Algebraic Quantum Field Theory
• A gentle introduction to Schwinger’s formulation of quantum mechanics: The groupoid picture
• Dynamical Vector Fields on the Manifold of Quantum States
• Covariant brackets for particles and fields
• Lagrangian description of Heisenberg and Landau–von Neumann equations of motion
• Schwinger’s picture of quantum mechanics I: Groupoids
• Differential calculus on manifolds with boundary applications
• Covariant Jacobi brackets for test particles
• The commutation laws of relativistic field theory