Distribution of oscillator strengths and correlated electron dynamics in artificial atoms

Abstract

The electronic structure of the quasi-two-dimensional disk-like artificial atom involving holes inside has been studied by the full configuration interaction (FCI) wave function employing mixed basis sets consisting of standard atomic orbitals and anisotropic Gaussian-type functions. The one-particle confinement potential for electrons has been modeled by a sum of an anisotropic harmonic-oscillator potential and attractive Coulomb potentials, the latter being responsible for the hole positive charges. The oscillator strengths from the ground state to a number of low-lying excited states have been calculated by the FCI energies and wave functions for different strength of the harmonic confinement ω. The results for two electrons with a hole at the center, namely, the He-like system, have shown accumulation of the oscillator strengths distributed among different dipole-allowed transitions in the excitation into the center-of-mass modes or the plasmon modes for increasing confinement strength ω. The system of two electrons with two impurity holes, namely, the H2-like system, has been also studied, which has shown a far more complicated trend of the oscillator strengths with respect to ω owing to the additional degree of freedom of the internuclear distance r. The observed trend has been rationalized on the basis of the nodal patterns in the molecular orbitals and in the electron density distributions.

Simulating the Dynamics of Stock Price via PSO-Assisted Quantum Anharmonic Oscillator Model: Case of Jakarta Composite Index

“…The quantum harmonic and anharmonic oscillator model is perhaps the most used model to describe the dynamics of the system in many cases, such as atomic [9], [10], nuclear [11], [12], or even econophysics [13], [14] problems. Our study is a modification of Gao's work in Ref [14], with the addition of the PSO algorithm for parameter optimization and the local market (Jakarta Composite Index) as the data source.…”

Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D

“…e.g., Petreska has applied the concept of the anisotropic harmonic oscillator to different problems in Quantum Physics [28][29][30][31][32]. On the other hand, it serves also as a perfect model in the discussion of Quantum dots in condensed matter physics [33][34][35][36][37][38][39][40][41][42][43] and atomic physics [44][45][46][47][48][49][50][51][52][53]. In the noncommutative case, the discussions are mainly carried out in the noncommutative plane, i.e.…”