Program

O.20 -- Oral, NCTP-40

Date: Wednesday, 29 July 2015

Time: 16h00 - 16h20

Born-series approach to the spontaneous decay near a realistically sized cylinder: second-order correction

Ho Trung Dung

Theoretical Physics Research Group Ton Duc Thang University

The Born series has recently proved to be quite useful in many problems of the matter-electromagnetic field interaction. Singularities may arise, however, when the field point or the source point coincides with the scattering point, or when the scattering points coincide with each other. Even though the integrals are expected to converge, the singularities have to be eliminated before any physically meaningful analytical or numerical results can be derived. We show how to tackle the singularity in the second-order term in the Born series of the atomic decay rate near a realistically sized cylinder and obtain an estimation of the second-order correction as a result. We also show that by using the bulk Green tensor instead of the vacuum Green tensor as the unperturbed term in the Born series, one can avoid the singularity in the first-order term, which arises when the atom is embedded in the medium.

Presenter: Ho Trung Dung