Nucleus Driven Electronic Pulsation

TL;DR

This paper models the electronic pulsations in ultra-relativistic electron systems compressed to nuclear scales, driven by a nuclear breathing mode, using spectral methods to derive and solve the governing equations.

Contribution

It introduces a spectral method approach to analyze the driven electronic pulsations in ultra-relativistic systems influenced by nuclear breathing modes.

Findings

Derived equations for electron pulsations under nuclear compression

Solved the equations using spectral methods

Discussed the physical implications of nuclear-driven electronic oscillations

Abstract

We derive and solve by the spectral method the equations for a neutral system of ultra-relativistic electrons that are compressed to the radius of the nucleus and subject to a driving force. This driving force can be thought of as originating from a nuclear breathing mode, a possibility we discuss in detail.