Green function and linear integrals of motion for a charged particle moving in electric field are discussed. Wigner function and tomogram of the ststionary states of the charge are obtained. Connection of quantum propagators for Schrödinger evolution equation, Moyal evolution equation and evolution equation in tomographic probability representation for charge moving in electric field is discussed.

A model for the motion of a charged particle in the vacuum is presented which, although purely classical in concept, yields Schrödinger’s equation as a solution. It suggests that the origins of the peculiar and nonclassical features of quantum mechanics are actually inherent in a statistical description of the radiative reactive force.

In the present work we extend the discrete Lagrangian integrator method presented in Ref. [1] to derive appropriate numerical maps for the solution of mechanical problems in which the potential energy depends on the velocity of the system. As a representative concrete example and simulated experiment of the method presented here, we examine the motion of a charged particle moving in an electrom...

In this paper, we propose the Chebyshev wavelet approximation for the numerical solution of a class of integrodifferential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields. We show that the Chebyshev approximation transform an integral equation to an explicit system of linear algebraic equations. Illustrative examples are included to...

In this paper we produce a lower bound for the number of periodic orbits of certain Hamiltonian vector fields near Bott-nondegenerate symplectic critical submanifolds. This result is then related to the problem of finding closed orbits of the motion of a charged low energy particle on a Riemannian manifold under the influence of a magnetic field.

We study the classical and quantum motion of a relativistic charged particle on the spacetime produced by a global monopole. The self-potential , which is present in this spacetime, is considered as an external electrostatic potential. We obtain classical orbits and quantum states for a spin-1/2 and spin-0 particles.

We consider Monte Carlo algorithms for the simulation of charged lattice gases with purely local dynamics. We study the mobility of particles as a function of temperature and show that the poor mobility of particles at low temperatures is due to "trails" or "strings" left behind after particle motion. We introduce modified updates which substantially improve the efficiency of the algorithm in t...

We derive explicit forms of Markovian transition probability densities for the velocity-space, phase-space, and the Smoluchowski configuration-space Brownian motion of a charged particle in a constant magnetic field. By invoking a hydrodynamical formalism for those stochastic processes, we quantify a continual (net on the local average) heat transfer from the thermostat to diffusing particles.

We investigate the motion of a spinning test particle in a spatially-flat FRW-type space-time in the framework of the Einstein-Cartan theory. The space-time has a torsion arising from a spinning fluid filling the space-time. We show that for spinning particles with nonzero transverse spin components, the torsion induces a precession of particle spin around the direction of the fluid spin. We al...

When a charged particle (of mass m and charge e) interacts with a linearly polarized plane wave with electric field Ex = E0 cos(kz − ωt), the particle’s motion consists of a transverse oscillation. Hence, the particle has transverse momentum, while the wave carries only longitudinal momentum. How is Newton’s 3rd law satisfied in this situation? Hint: Consider the interaction field momentum. Thi...