We report an exact solution of the Hartemann-Luhmann equation motion for a charged particle interacting with intense electromagnetic wave/pulse. It is found that radiation reaction force has significant affect on dynamics and shows, average, net energy gain over period time. Further, using MATHEMATICA based single code, gained by compared obtained Landau-Lifshitz Ford-O'connell motion, differen...

We study the competitive action of magnetic field, Coulomb repulsion and space curvature on the motion of a charged particle. The three types of interaction are characterized by three basic lengths: lB the magnetic length, l0 the Bohr radius and R the radius of the sphere. The energy spectrum of the particle is found by solving a Schrödinger equation of the Heun type, using the technique of con...

We introduce and study a deterministic lattice model describing the motion of an infinite system of oppositely charged particles under the action of a constant electric field. As an application this model represents a traffic flow of cars moving in opposite directions along a narrow road. Our main results concern the Fundamental diagram of the system describing the dependence of average particl...

The analogy between Einstein’s “Aarau Question” of riding on a light-wave and— nevertheless—“seeing” the light-wave running away with velocity “c” and Mugur-Schächter’s proposal to associate with every particle having non-zero proper mass a progressive plane wave moving with invariant velocity “V” with respect to the particle, is shown not to solve any difficulties in fundamental physics. The s...

The effective equations of motion for a point charged particle taking account of radiation reaction are considered in various space-time dimensions. The divergencies steaming from the pointness of the particle are studied and the effective renormalization procedure is proposed encompassing uniformly the cases of all even dimensions. It is shown that in any dimension the classical electrodynamic...

This 1-D Schrödinger equation describes the non relativistic motion of a single charged particle (mass m = 1, = 1) with a potential V in a uniform electric field t → u(t). With v̈ = −u, (1) represents also the dynamics of a particle in a non Galilean frame of absolute position v (see, e.g., [9]). A change of independent variables (t, q) → (t, z) and dependent variable ψ → φ, transform (1) into (...

The effective equations of motion for a point charged particle taking account of radiation reaction are considered in various space-time dimensions. The divergencies steaming from the pointness of the particle are studied and the effective renormalization procedure is proposed encompassing uniformly the cases of all even dimensions. It is shown that in any dimension the classical electrodynamic...

In this study, a generalized solution for the helical motion of charged particle in uniform electric and magnetic fields is obtained using powerful fractional derivative approach. Using approach, differential equations that describe were obtained. The presented great detail terms series Mittag-Leffler function. Laplace transform technique was used to solve regular form (with parameter γ). Two t...