Long time ago to calculate back-reaction of electromagnetic field on moving with acceleration a charged classical (not quantum) particle of finite size Sommerfeld [1] considered two models uniformly charged rigid sphere and uniformly charged rigid ball and found out explicit expressions for electromagnetic self-forces. These expressions in nonrelativistic limit are much simpler then the origina...

Dielectrophoresis (DEP), the motion of polarizable particles in non-uniform electric fields, has become an important tool for the transport, separation, and characterization of microparticles in biomedical and nanoelectronics research. In this article we present, to our knowledge, the first molecular dynamics simulations of DEP of nanometer-sized colloidal particles. We introduce a simplified m...

The problem of the charged-particle motion in crossed electric and magnetic fields is investigated, validity guiding-center representation assessed comparison with exact particle dynamics. While field considered to be straight uniform, (perpendicular) radial nonuniform. Hamiltonian theory presented for arbitrary fields, explicit examples are provided case a linear field.

Recent simulations and experiments with aqueous quadrupole micro-traps have confirmed a possibility for control and localization of motion of a charged particle in a water environment, also predicting a possibility of further reduction of the trap size to tens of nano-meters for trapping charged bio-molecules and DNA segments. We study the random thermal noise due to Brownian motion in water wh...

Action integrals are often used to average a system over fast oscillations and obtain reduced dynamics. It is not surprising, then, that action integrals play a central role in the HellmannFeynman theorem of classical mechanics, which furnishes the values of certain quantities averaged over one period of rapid oscillation. This paper revisits the classical Hellmann-Feynman theorem, rederiving i...

We formulate, in the framework of the generalized quantum Langevin equation approach, the retarded Green's functions and the symmetrized position correlation functions for the motion of a charged quantum-mechanical particle in a spatial harmonic potential, coupled linearly to a passive heat bath, and subject to a constant homogeneous magnetic field. General conclusions can then be reached by us...