A theory for lifting equations of motion for charged particle dynamics, subject to given electromagnetic like forces, up to a gauge-free system of coupled Hamiltonian Vlasov-Maxwell like equations is given. The theory provides very general expressions for the polarization and magnetization vector fields in terms of the particle dynamics description of matter. Thus, as is common in plasma physic...

In general relativity the post-Newtonian Hamiltonian approach is widely used for calculations of relativistic gravitational effects. This approach is usually assumed to be just an approximation to the rigorous general-relativistic theory of the dynamical curved space-time. The difficulties of reconciling this point of view with quantum mechanics are well-known. In this paper we explore a simple...

in this research we described the effective hamiltonian theory and applied this theory to the calculation of current-current (q1,2) and qcd penguin (q3,…,6) c quark decay rates. we calculated the decay rates of semileptonic and hadronic of charm quark in the effective hamiltonian theory. we investigated the decay rates of d meson decays according to spectator quark model (sqm) for the calculati...

We consider three examples of weekly perturbed centers which do not have geometrical equivalence: a linear center, a degenerate center and a non-hamiltonian center. In each case the number and amplitude of the limit cycles emerging from the period annulus are calculated following the same strategy: we reduce of all of them to locally equivalent perturbed integrable systems of the form: dH(x, y)...

A quantal guiding center theory allowing to systematically study the separation of the different time scale behaviours of a quantum charged spinning particle moving in an external inhomogeneous magnetic filed is presented. A suitable set of operators adapting to the canonical structure of the problem and generalizing the kinematical momenta and guiding center operators of a particle coupled to ...

We study the effective dynamics of a mechanical particle coupled to a wave field and subject to the slowly varying potential V (εq) with ε small. To lowest order in ε the motion of the particle is governed by an effective Hamiltonian. In the next order one obtains “dissipative” terms which describe the radiation reaction. We establish that this dissipative dynamics has a center manifold which i...

The influence of time-dependent perturbations on an autonomous Hamiltonian system with equilibrium center type is considered. It assumed that the decay at infinity in time and vanish unperturbed system. In this case stability long-term behaviour trajectories depend nonlinear non-autonomous terms equations. paper investigates bifurcations associated a change Lyapunov emergence new attracting or ...