Necessary and sufficient conditions for the existence of a Lagrangian in field theory. I: Variational approach to selfadjointness for tensorial field equations

DOI10.1016/S0003-4916(97)90004-XzbMath0354.49023MaRDI QIDQ1236787

Ruggero Maria Santilli

Publication date: 1977

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

Mathematics Subject Classification ID

Exterior differential systems (Cartan theory) (58A15) Variational principles of physics (49S05) Manifolds and measure-geometric topics (49Q99)

Related Items (12)

The inverse problem of the calculus of variations applied to continuum physics ⋮ Symmetry transformations, isovectors, and conservation laws ⋮ On the structure of the governing principle of dissipative processes ⋮ Constructive scheme for variational principles: The Bateman procedure for kinetic equations ⋮ Variational principle for entropy in electrochemical transport phenomena ⋮ Variational principles for nonpotential operators ⋮ Canonical quantization of so-called non-Lagrangian systems ⋮ Necessary and sufficient conditions for the existence of a Lagrangian in field theory. II: Direct analytic representations of tensorial field equations ⋮ Hamiltonian formulation and action principle for the Lorentz-Dirac system ⋮ Composite variational principles and the determination of conservation laws ⋮ On the inverse problem of the calculus of variations ⋮ Equivalent Lagrangians: Multidimensional case

Cites Work

• On the mathematical description of quantized fields
• The range of application of the lagrange formalism — I
• On the weighted approximation of continuous functions by polynomials on the entire number axis
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