We quantize the angular momentum of the electromagnetic field in a linear medium. We consider the interaction of an atom with an evanescent wave. We discuss the transfer of angular momentum in such a wave in relation to some recent experiments.

We construct momentum mappings for covariant Hamiltonian field theories using a generalization of symplectic geometry to the bundle LV Y of vertically adapted linear frames over the bundle of field configurations Y . Field momentum observables are vector-valued momentum mappings generated from automorphisms of Y , using the (n + k)-symplectic geometry of LV Y . These momentum observables on LV ...

Kovetz’ formulation [1] of the system consisting of the linear momentum balance, momentof-momentum balance, energy balance and Clausius-Duhem inequality for electromagnetic media is derived from basic ideas in continuum mechanics and electromagnetism and shown thereby to be compatible with earlier formulations.

In order to clarify common assumptions on the form of energy and momentum in elasticity, a generalized conservation format is proposed for finite elasticity, in which total energy and momentum are not specified a priori. Velocity, stress, and total energy are assumed to depend constitutively on deformation gradient and momentum in a manner restricted by a dissipation principle and certain mild ...

We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data solutions makes them easier to implement in numerical evolutions than the traditional numerical approach of solving the elliptic equations derived from the Ei...