The Hamilton–Jacobi theory of De Donder and Weyl applied to some relativistic field theories

DOI10.1063/1.526253zbMath0554.70009OpenAlexW1976089655MaRDI QIDQ3217661

Joachim von Rieth

Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526253

zbMATH Keywords

instantonsKlein-Gordon fieldDirac fieldYang-Mills fieldconserved currentDe Donder-Weyl theory'complete' integralelectrodynamics with an external current

Mathematics Subject Classification ID

Special relativity (83A05) Hamilton-Jacobi equations in mechanics (70H20) Variational principles of physics (49S05) Classical field theories (70Sxx)

Related Items (8)

Constructing solutions of Hamilton–Jacobi equations for 2D fields with one component by means of Bäcklund transformations ⋮ Constructing a class of solutions for the Hamilton-Jacobi equation in field theory ⋮ Precanonical quantization and the Schrödinger wave functional ⋮ Strings, world-sheet covariant quantization and Bohmian mechanics ⋮ Covariant canonical quantization of fields and Bohmian mechanics ⋮ Canonical structure of classical field theory in the polymomentum phase space ⋮ Existence of solutions for Hamiltonian field theories by the Hamilton–Jacobi technique ⋮ QUANTUM DETERMINISM FROM QUANTUM GENERAL COVARIANCE

Cites Work

• Geodesic fields in the calculus of variation for multiple integrals
• Über die Extremalen und geodätischen Felder in der Variationsrechnung der mehrfachen Integrale

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