We discuss the scattering of relativistic spin zero particles by an infinitely long and arbitrarily thin solenoid. The exact solution of the first-quantized problem can be obtained as a mimic of the nonrelativistic case, either in the original Aharonov-Bohm way or by using the Berry’s magnetization scheme. The perturbative treatment is developed in the Feshbach-Villars two-component formalism f...

We derive a set of relativistic three-particle scattering equations in the three-particle c.m. frame employing a relativistic three-particle propagator suggested long ago by Ahmadzadeh and Tjon in the c.m. frame of a two-particle subsystem. We make the coordinate transformation of this propagator from the c.m. frame of the two-particle subsystem to the three-particle c.m. frame. We also point o...

The theory of Generalized Bessel Functions is reviewed and their application to various problems in the study electro-magnetic processes presented. We consider cases emission bremsstrahlung radiation by ultra-relativistic electrons linearly polarized undulators, including also exotic configurations, aimed at enhancing harmonic content emitted radiation. analysis eventually extended generalizati...

A bstract We formulate Wilson loop observables as products of eikonal lines given in terms on-shell scattering amplitudes. derive the phases for dyons both gauge theory and gravity, which we use to Dirac-Schwinger-Zwanziger quantization condition its relativistic gravitational (Taub-NUT) counterpart via double copy. also compute an anyon-anyon system, obtaining a generalisation Aharonov-Bohm ph...

A theory of coherent X-ray radiation generated by a beam relativistic electrons in single crystal the direction close to electron-beam axis is developed Laue scattering geometry. The takes into account asymmetry electron-field reflection with respect surface and divergence. Expressions describing spectral-angular densities parametric near electron-velocity direction, transition radiation, their...

We investigate the transport fluctuations in both non-relativistic quantum dots and graphene quantum dots with both hyperbolic and nonhyperbolic chaotic scattering dynamics in the classical limit. We find that nonhyperbolic dots generate sharper resonances than those in the hyperbolic case. Strikingly, for the graphene dots, the resonances tend to be much sharper. This means that transmission o...

In light of the immense interest in understanding impact an electron on atoms low-energy scattering phenomena observed laboratories and astrophysical processes, we propose approach to construct potentials using relativistic coupled-cluster (RCC) theory for determination electron-atom (e-A) elastic cross-sections (eSCs). The net potential electron, scattered elastically by atom, is conveniently ...

In this paper, the interaction between an oscillating dipole moment and a Silver nanoparticle has been studied. Our calculations are based on Mie scattering theory and discrete dipole approximation(DDA) method.At first, the resonance frequency due to excitingthe localized surface plasmons has been obtained using Mie scattering theory and then by exciting a dipole moment in theclose proximity of...