We show that the main properties of fracton quasiparticles can be derived from a generalized covariant Maxwell-like action. Starting rank-2 symmetric tensor field ${A}_{\ensuremath{\mu}\ensuremath{\nu}}(x)$, we build partially rank-3 strength ${F}_{\ensuremath{\mu}\ensuremath{\nu}\ensuremath{\rho}}(x)$ which obeys kind Bianchi identity. The most general action invariant under ``fracton'' transf...

Maxwell equations are the basis of the theory of electromagnetic fields. In the stationary case they split into independent problems for electric and magnetic fields. For the electric field in conductive media electrical conductivity problem is formulated, and in insulators the problem of electrostatics is formulated. Equations for stationary problems are of elliptic type, whereas in general th...

The constrained structure of the duality invariant form of Maxwell theory is considered in the Hamiltonian formulation of Dirac as well as from the symplectic viewpoint. Compared to the former the latter approach is found to be more economical and elegant. Distinctions from the constrained analysis of the usual Maxwell theory are pointed out and their implications are also discussed. e-mail: ra...

We present in this paper a stability study concerning nite volume schemes applied to the Maxwell system. A stability condition is proved for the rst-order upwind scheme using a rectangular mesh. Stability comparisons between the Yee scheme and the nite volume formulation are proposed. We also compare the stability domains obtained when considering the Maxwell system and the convection equation.

This paper discusses the phenomenon of spontaneous symmetry breaking in the Schrödinger representation formulation of quantum field theory. The analysis is presented for three-dimensional space-time abelian gauge theories with either Maxwell, Maxwell-Chern-Simons, or pure Chern-Simons terms as the gauge field contribution to the action, each of which leads to a different form of mass generation...

We present and analyze exact solutions of the Einstein–Maxwell and Einstein–Maxwell– Dilaton equations that describe static pairs of oppositely charged extremal black holes, i.e., black diholes. The holes are suspended in equilibrium in an external magnetic field. We comment as well on the relation of these solutions to brane–antibrane configurations in string and M-theory.

In this paper we discuss some unusual and unsuspected relations between Maxwell, Dirac and the Seiberg-Witten equations. First we investigate what is now known as the Maxwell-Dirac equivalence (MDE) of the first kind. Crucial to that proposed equivalence is the possibility of solving for ψ (a representative on a given spinorial frame of a Dirac-Hestenes spinor field) the equation F = ψγ21˜ψ, wh...

In this paper we discuss some unusual and unsuspected relations between Maxwell, Dirac and the Seiberg-Witten equations. First we investigate what is now known as the Maxwell-Dirac equivalence (MDE) of the first kind. Crucial to that proposed equivalence is the possibility of solving for ψ (a representative on a given spinorial frame of a Dirac-Hestenes spinor field) the equation F = ψγ21˜ψ, wh...

The Euler-Maxwell equations as a hydrodynamic model of charge transport of semiconductors in an electromagnetic field are studied. The global approximate solutions to the initial-boundary value problem are constructed by the fractional Godunov scheme. The uniform bound and H−1 compactness are proved. The approximate solutions are shown convergent by weak convergence methods. Then, with some new...