Asymptotic Conservation Laws in Classical Field Theory

Asymptotic Conservation Laws in Classical Field Theory.

Asymptotic Conservation Laws in Field Theory

A new approach to the derivation of asymptotic conservation laws in field theory is presented. This approach is based upon the explicit construction of a universal spacetime differential form which plays a central role in the general theory of lowerdegree conservation laws. It is shown that this differential form immediately leads to the standard asymptotic conservations laws for both the Einst...

Field Equations and Conservation Laws in the Nonsymmetric Gravitational Theory

The field equations in the nonsymmetric gravitational theory are derived from a Lagrangian density using a first-order formalism. Using the general covariance of the Lagrangian density, conservation laws and tensor identities are derived. Among these are the generalized Bianchi identities and the law of energy-momentum conservation. The Lagrangian density is expanded to second-order, and treate...

Fractional conservation laws in optimal control theory

Using the recent formulation of Noether’s theorem for the problems of the calculus of variations with fractional derivatives, the Lagrange multiplier technique, and the fractional Euler-Lagrange equations, we prove a Noetherlike theorem to the more general context of the fractional optimal control. As a corollary, it follows that in the fractional case the autonomous Hamiltonian does not define...

Angular Momentum and Conservation Laws in Classical Electrodynamics

In analogy with mechanics the concepts of field momentum and field angular momentum can be introduced in electrodynamics through conservation laws. In this thesis some fundamental properties of the electromagnetic field angular momentum are treated. This includes the connection to sources, conservation laws and the separation of total angular momentum into a spin and an orbital part. In 1957 Ze...