In its bare and natural form, the Dirac Equation describes only spin-1/2 particles. The main purpose of this reading is to make a valid and justified mathematical modification to the Dirac Equation so that it describes any spin particle. We show that this mathematical modification is consistent with the Special Theory of Relativity (STR). We believe that the fact that this modification is consi...

Equilibria of high-current electron beams in an axial magnetic field are considered at the base of the approach [1] for the two cases of shielded and immersed cathodes. A general wave equation in the electrostatic approximation, which is valid in any selfconsistent equilibrium, was derived under the only assumption of constancy of full particle energy. This equation supplements general steady s...

In this article, we study the stability of various forms for general octic functional equation ∑ i = 09 9 C − 1</m...

BEl-rt's reciprocal theorem is used to determine the normal displacements due to a normal point force at the plane surface o fa generally-anisotropic half-space or a transversely-isotropic general elastic foundation, using a state of plane sinusoidal loading as auxiliary solution. The method is also extended to give a dual integral equation formulation of the axisymmetric contact problem for an...