We study wave equations with energy dependent potentials. Simple analytical models are found useful to illustrate difficulties encountered with the calculation and interpretation of observables. A formal analysis shows under which conditions such equations can be handled as evolution equation of quantum theory with an energy dependent potential. Once these conditions are met, such theory can be...

We exhibit exact finite energy superluminal solutions of Maxwell equations in vacuum. e-mail: [email protected] e-mail: [email protected] or [email protected] 1 Recently, some papers [1,2] appeared in the literature showing that in some hypotetical media there is the possibility for the existence of superluminal electromagnetic pulses (solutions of Maxwell equations) such their fronts tr...

The problem of steady Magnetohydrodynamic boundary layer flow of an electrically conducting nanofluid due to an exponentially permeable stretching sheet with heat source/sink in presence of thermal radiation is numerically investigated. The effect of transverse Brownian motion and thermophoresis on heat transfer and nano particle volume fraction considered. The governing partial differential eq...

In this paper we study the following reaction-di usion equation ut = u+ f(u; k(t)) subject to appropriate initial and boundary conditions, where f(u; k(t)) = u k(t) or k(t)u with p > 1 and k(t) is an unknown function. An additional energy type condition is imposed in order to nd the solution u(x; t) and k(t). This type of problem is frequently encountered in nuclear reaction process, where the ...

axial distributions of plasma and floating potentials, electron number density and the electron energy distribution function (eedf) have been measured in the double layer (dl) region of an he discharge constriction. excitation processes in the constriction region are studied. using a linearization method for the nonstationary balance equations and choosing appropriate discharge conditions, the ...