A Periodic Faddeev-Type Solution Operator

Complex Scaling of the Faddeev Operator ∗

The work is devoted to comparison of two different approaches to calculation of three-body resonances on the basis of the Faddeev differential equations. The first one is the well known complex scaling approach. The second method is based on an immediate calculation of the zeros of the scattering matrix continued to the physical sheet. For years the complex scaling [1,2] is considered as one of...

Periodic solution for a delay nonlinear population equation with feedback control and periodic external source

In this paper, sufficient conditions are investigated for the existence of periodic (not necessarily positive) solutions for nonlinear several time delay population system with feedback control. Nonlinear system affected by an periodic external source is studied. Existence of a control variable provides  the extension of  some previous results obtained in other studies. We give a illustrative e...

On the Faddeev-Popov operator in topological field configurations

The confinement of colored objects in QCD is, even after more than thirty years, still a challenging problem. The progress which has been made in its understanding during the last years has been mainly along two directions, which are at first sight quite different. One is based on topological field configurations, like vortices [1]. The other investigates the properties of Green’s functions [2]...

Instantons , monopoles , vortices , and the Faddeev - Popov operator eigenspectrum

The relation of confinement scenarios based on topological configurations and the Gribov-Zwanziger scenario is examined. To this end the eigenspectrum of the central operator in the Gribov-Zwanziger scenario, the Faddeev-Popov operator, is studied in topological field configurations. It is found that instantons, monopoles, and vortices contribute to the spectrum in a qualitatively similar way. ...

Numerical Solution of Singular IVPs of Lane-Emden Type Using Integral Operator and Radial Basis Functions