Conservation laws of free Klein Gordon fields

DOI10.1007/BF00397221zbMath0423.35060WikidataQ114852813 ScholiaQ114852813MaRDI QIDQ1134300

Toru Tsujishita

Publication date: 1979

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

zbMATH Keywords

conservation lawsdifferential polynomialsfree Klein Gordon fieldsvariational calculus of Gelfand-Dikii

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Partial differential equations on manifolds; differential operators (58J99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (7)

Variational principles for differential equations with symmetries and conservation laws. I: Second order scalar equations ⋮ Symmetries of generalized Klein-Gordon (including sine-Gordon) equations in three or more dimensions ⋮ Conserved densities for linear evolution systems ⋮ Constants of motion for linear evolution systems ⋮ Generalized symmetries and conservation laws of (1 + 1)-dimensional Klein–Gordon equation ⋮ The variational bi-complex for systems of semi-linear hyperbolic PDEs in three variables ⋮ Equivalent conserved currents and generalized Noether's theorem

Cites Work

• On variation bicomplexes associated to differential equations
• The Gauss-Bonnet theorem and the Atiyah-Patodi-Singer functionals for the characteristic classes of foliations
• Kernels and ranges in the variational formalism
• Evolution equations possessing infinitely many symmetries
• Existence of a New Conservation Law in Electromagnetic Theory

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