One-Particle Green Function Defined for thes-dBound State

Green ’ s function theory for one - way particle chains

Recently, it has been shown that a new class of particle chains that support the simultaneous interplay of two-type rotations—geometric and electromagnetic—may possess strong nonreciprocity and one-way guiding effects. Here, we use the Z transform to develop a rigorous Green’s function theory for these one-way chains. A study of the chain’s spectra and its analytic properties in the complex spe...

Green ’ s function technique for nonequilibrium steady state

Nonperturbative dynamic theory has a particular advantage in studying the transport in a quantum impurity system in nonequilibrium steady state. Therefore, a method for obtaining the retarded Green’s function is studied here. For that purpose, we use the resolvent Green’s function in the Heisenberg picture and find all linearly independent basis vectors spanning the Liouville space. We propose ...

An Evolutionary Algorithm for solving theS hool

Green ' s Function Analysis of Bunched Charged Particle

In this thesis, we analyze the dynamics and equilibrium of bunched charged particle beams in the presence of perfectly conducting walls using a Green's function technique. Exact self-consistent electric and magnetic fields are obtained for charged particles in the vicinity of a conducting boundary with the use of Green's functions. We present three analytical models of bunched beams in a cylind...

GREEN-PSO: Conserving Function Evaluations in Particle Swarm Optimization

In the Particle Swarm Optimization (PSO) algorithm, the expense of evaluating the objective function can make it difficult, or impossible, to use this approach effectively; reducing the number of necessary function evaluations would make it possible to apply the PSO algorithm more widely. Many function approximation techniques have been developed that address this issue, but an alternative to f...