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Updated: Jun 3, 2026

Photoelectron Imaging of Anions Illustrated by 310 Nm Detachment of F−
Published on: July 27, 2018
Note: The weak-correlation limit of the three-electron harmonium atom.
Accurate energy estimations for the three-electron harmonium atom were developed using perturbation theory. These findings provide robust methods for calculating energies across all confinement strengths.
Area of Science:
- Quantum mechanics
- Atomic physics
Background:
- The three-electron harmonium atom is a fundamental model system in quantum mechanics.
- Understanding its energy states is crucial for various areas of physics and chemistry.
Discussion:
- This study derives asymptotic energy expressions for the weak-correlation limits of the two lowest energy states.
- These expressions are accurate through the second order of perturbation theory.
Key Insights:
- Closed-form expressions for weak-correlation limits are presented.
- Combining these with strong-correlation data yields robust Padé approximants.
- Accurate energy estimations are possible for all confinement strengths.
Outlook:
- The developed methods can be extended to more complex atomic and molecular systems.
- Further investigations into higher-order perturbation theory could refine energy predictions.
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