Spectral characterization of the hydrogen like atoms confined by oscillating systems

TL;DR

This paper investigates the spectral properties of hydrogen-like atoms confined by oscillating systems, including pseudo-Gaussian and harmonic oscillators, using a computational generating functional method, and explores effects of impenetrable sphere confinement.

Contribution

It introduces an efficient generating functional method for spectral analysis of atoms confined by pseudo-Gaussian oscillators and examines various confinement scenarios including impenetrable spheres.

Findings

Spectral characteristics of Coulomb systems under pseudo-Gaussian confinement.

Comparison between pseudo-Gaussian and harmonic oscillator confinement.

Effects of finite-radius impenetrable sphere on atomic spectra.

Abstract

The spectral characterization of Coulomb systems confined by the homogeneous pseudo-Gaussian oscillator is investigated. This is made using the efficient computational method of generating functional. Also, the method is used for the spectral characterization of homogeneous harmonic oscillator confinement, found as a particular case of pseudo-Gaussian oscillator confinement. Finally the aspect of confinement with an impenetrable sphere of finite radius is considered by studying its conjugate effect along with harmonic oscillator upon the atom.