Wigner Time-Delay and Distribution for Polarization Interaction in Strongly Coupled Semiclassical Plasmas

Myoung-Jae Lee,Young-Dae Jung

doi:10.3390/e22090910

Abstract

The quantum effect on the Wigner time-delay and distribution for the polarization scattering in a semiclassical dense plasma is explored. The partial wave analysis is applied for a partially ionized dense plasma to derive the phase shift for the polarization interaction. The Wigner time-delay and the Wigner distribution are derived for the electron–atom polarization interaction including the effects of quantum-mechanical characteristic and plasma screening. In this work, we show that the Wigner time-delay and the Wigner distribution for the polarization interaction can be suppressed by the quantum effect. The Wigner time-delay and the Wigner distribution are also significantly suppressed by the increase of plasma shielding. The variation of the Wigner time-delay and the Wigner distribution function due to quantum screening is discussed.

Highlights

In atomic collisions, it has been shown that a particle scattering with the combination of the time-evolution operator and the energy dependence can provide the physical significance of the collision system in a potential field [1,2]
We investigated the effects of quantum screening on the Wigner time-delay for the polarization scattering in a dense semiclassical plasma
We obtained the analytic expressions of the Wigner time-delay and the Wigner time-delay distribution for the electron–atom polarization interaction including the effects of quantum-mechanical character and plasma screening

Summary

Introduction

It has been shown that a particle scattering with the combination of the time-evolution operator and the energy dependence can provide the physical significance of the collision system in a potential field [1,2]. It is shown that the quantum-mechanical effect in a strongly coupled plasma plays an important role on the screened inter-particle interaction because of the quantum diffraction effect and the collective behavior [12,13,14,15]. It is well-known that the polarization effect is important for the scattering of low-energy electrons by neutral atoms [16,17]. The variation of the Wigner time-delay and distribution function due to the quantum and plasma shielding effects is discussed

Theory and Calculations

Discussions

The three-dimensional plot collision of the scaled

Summary