A two-dimensional harmonic oscillator confined in a circle in the presence of a constant electric field: an informational approach

In this work, we study an electron subjected to a harmonic oscillator potential confined in a circle of radius r 0 and in the presence of a constant electric field. We obtain energies and eigenfunctions for three different confinement radii as a function of the electric field strength. We have used...

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Bibliographic Details
Published in:The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2024-06, Vol.78 (6), Article 71
Main Authors: Cruz, Elizabeth, Aquino, N., Prasad, V., Flores-Riveros, A.
Format: Article
Language:English
Subjects:
Applications of Nonlinear Dynamics and Chaos Theory
Atomic
Confinement
Eigenvectors
Electric field strength
Electric fields
Entropy
Entropy (Information theory)
Fisher information
Harmonic functions
Harmonic oscillators
Molecular
Optical and Plasma Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Information Technology
Quantum Physics
Regular Article - Quantum Information
Spectroscopy/Spectrometry
Spintronics
Wave functions
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Summary:In this work, we study an electron subjected to a harmonic oscillator potential confined in a circle of radius r 0 and in the presence of a constant electric field. We obtain energies and eigenfunctions for three different confinement radii as a function of the electric field strength. We have used the linear variational method by constructing the trial function as a linear combination of two-dimensional confined harmonic oscillator wave functions. We calculate the radial standard deviation as a measure of the dispersion of the probability density. We also computed the Shannon entropy and Fisher information, in configuration and momentum spaces, as localization-delocalization measures for three different confinement radii and as a function of the electric field strength. We find that Shannon entropy and Fisher information are more reliable than variance in determining electron location. The behaviour of Shannon entropy and Fisher information curves is shown to depend on each specific state under study. Graphical abstract
ISSN:1434-6060
1434-6079
DOI:10.1140/epjd/s10053-024-00861-3