The covariant field equations of ten-dimensional super D-branes are obtained by considering fundamental strings whose ends lie in the superworldsurface of the D-brane. By considering in a similar fashion Dp-branes ending on D(p + 2)-branes we derive equations describing D-branes with dual potentials, as well as the vector potentials.

The impact of Lorentz violation on the dynamics of a scalar field is investigated. In particular, we study the dynamics of a scalar field in the scalar-vector-tensor theory where the vector field is constrained to be unity and time like. By taking a generic form of the scalar field action, a generalized dynamical equation for the scalar-vector-tensor theory of gravity is obtained to describe th...

The Dirac equation plays a key role in microscopic descriptions of many-fermion systems, employing covariant density functional theory and the relativistic mean-field approach. In application to nuclei and hadrons, the required Dirac mean-field Hamiltonian involves a mixture of Lorentz vector and scalar potentials. Recently, symmetries of Dirac Hamiltonians with such Lorentz structure were show...

The Dirac equation serves as the basis for the relativistic description of atoms, nuclei and hadrons. In atoms the relevant potentials felt by the electron are Coulombic vector potentials. A Dirac Hamiltonian with a Coulomb potential exhibits a finestructure spectrum with characteristic two-fold degeneracy. Relativistic mean fields in nuclei generated by meson exchanges , and quark confinement ...

Abstract This paper presents a simple and systematic method to show how the potentials in the Lorentz, Coulomb, Kirchhoff, velocity and temporal gauges yield the same retarded electric and magnetic fields. The method appropriately uses the dynamical equations for the scalar and vector potentials to obtain two wave equations, whose retarded solutions lead to the electric and magnetic fields. The...

A dissipation theory is proposed for the potentials-based FDTD algorithm case of inhomogeneous lossless media. We show that under Courant-Friedrichs-Lewy (CFL) limit, equations describing time evolution scalar and vector potentials can be seen as a system. The developed provides insights into how electromagnetic energy power flow are approximated in schemes. It also used to create new algorithm...

The problem of unbounded uniaxial chiral omega media in the presence of both static electric and magnetic point charges is investigated. For this purpose scalar electric and magnetic potentials in these media are introduced. Using these potentials, the corresponding electric and magnetic fields are determined. The similar problem of static electric and magnetic current sources with the goal of ...