Polaron problem is considered. Bogoliubov group variables for the spacetime translations group are defined. The scheme of secondary quantization for the scalar field interacting with charged quantum field is proposed. Scalar field is assumes to have nonzero classical component. Polaron is treated as a result of interaction of charged particle and neutral field classical component. The system st...

Considering electrically charged test particles, we continue our study of the exterior dynamics a Weyl black hole which has been previously investigated regarding motion mass-less and (neutral) massive particles. In this paper, deflecting trajectories particles are designated as being gravitationally Rutherford-scattered detailed discussions angular radial particle motions presented.

(Dated: June 16, 2001) We derive second and higher order explicit symplectic integrators for the charged particle motion in an s-dependent magnetic field with the paraxial approximation. The Hamiltonian of such a system takes the form of H = P k(pk − ak(~q, s)) + V (~q, s). This work solves a long-standing problem for modeling s-dependent magnetic elements. Important applications of this work i...

*Correspondence: Jeong Ryeol Choi, Department of Radiologic Technology, Daegu Health College, Yeongsongro 15, Buk-gu, Daegu 702-722, Republic of Korea e-mail: [email protected] Quantum characteristics of a charged particle traveling under the influence of an external time-dependent magnetic field in ionized plasma are investigated using the invariant operator method. The Hamiltonian that gi...

Upon combining Northrop’s picture of charged particle motion with modern liquid crystal theories, this paper provides a new description of guiding center dynamics (to lowest order). This new perspective is based on a rotation gauge field (gyrogauge) that encodes rotations around the magnetic field. In liquid crystal theory, an analogue rotation field is used to encode the rotational state of ro...

An optical method is presented that allows simultaneous determination of the diffusion constant and electrophoretic mobility of individual charged particles with radius down to 0.2 mum. By this method the size dependency of the effective charges and zeta potentials of individual particles can be investigated, as well as interparticle interactions and Brownian motion in confined geometries. The ...

In the context of mechanical Lagrangian dynamics, we prove a new Lyapunov instability criterion for non strict local minimum equilibrium point smooth potential where sufficient condition is existence solution certain linear PDE derived from governing dynamics. presence magnetostatic field, also give an additional motion charged particle to be unstable.

PURPOSE Conventional charged-particle imaging techniques - such as autoradiography - provide only two-dimensional (2D) black ex vivo images of thin tissue slices. In order to get volumetric information, images of multiple thin slices are stacked. This process is time consuming and prone to distortions, as registration of 2D images is required. We propose a direct three-dimensional (3D) autoradi...

Cross sections are presented for the inclusive production of charged particles measured in electron-proton collisions at low Q 2 with the H1 detector at HERA. The transverse momentum distribution extends up to 8 GeV/c. Its shape is found to be harder than that observed in pp collisions at comparable centre-of-mass energies p s p p s pp 200 GeV, and also harder than in p collisions at lower ener...

This paper is concerned with the motion of electrically charged particles in \curved" inn-nite strip. The equations of motion are ' = with initial and boundary conditions, where ' is the electric potential, is the particle trajectory, P is the charge distribution, and J is the Jacobian. The lower boundary ? 0 of the strip is grounded. Therefore, once a particle reaches ? 0 ; it loses its charge...