Super-effective-field theory of three-dimensional electron systems

Masuo Suzuki

Masuo Suzuki

M. G. Benedict, A. M. Ermolaev, В. А. Малышев +2 more

The quantum electrodynamical (QED) theory of the spontaneous decay of a single excited two-level atom was generalized and applied to the super-radiance problem by several authors. This chapter considers the evolution of the system of atom plus field, applying an approach equivalent to the master equation method. It uses the diagram representation of the quantum perturbation theory for the density matrix of the system. The diagram method provides an effective tool for the derivation of the master equations. The chapter presents the quantum theory of super-radiance of an extended three-dimensional polyatomic system within the Markov and the rotating wave approximations and neglecting retardation. It discusses the spatial properties of super-radiance, including the angular correlation of photons, which have been mentioned in earlier works by R. H. Dicke and V. Ernst and P. Stehle.

Nelson Oyindenyifa Nenuwe

Zhi‐Ming Yu, Yu-Liang Liu

The phase field, which originates from the electronic interaction, plays an important role in describing a strongly correlated system in one dimension. However, in higher dimensions the effect of phase field cannot be obviously understood. With the eigenfunctional theory, we calculate the pair distribution function of the three-dimensional electron gas to study the relationship between the phase field and the electronic correlation effect and show that at zero temperature the correlation effect of the electrons is mainly dominated by the phase fluctuation, which is produced by the electronic interaction. We also discuss the failure of random phase approximation in studying the correlation function when the correlation effect is strong in the view of the phase field.

Natália Menezes