dorsal/arxiv
View SchemaNondispersive two-electron Trojan wave packets
| Authors | Matt Kalinski, Loren Hansen, David Farrelly |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502071 |
| URL | https://arxiv.org/abs/quant-ph/0502071 |
Abstract
We demonstrate the existence of stable non-dispersing two-electron Trojan-like wave packets in the helium atom in combined magnetic and circularly polarized microwave fields. These packets follow circular orbits and we show that they can also exist in quantum dots. Classically the two electrons follow trajectories which resemble orbits discovered by Langmuir and which were used in attempts at a Bohr-like quantization of the helium atom. Eigenvalues of a generalized Hessian matrix are computed to investigate the classical stability of these states. Diffusion Monte Carlo simulations demonstrate the quantum stability of these two-electron wave packets in the helium atom and quantum dot helium with an impurity center.
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"date_created": "2026-03-02T18:02:13.572000Z",
"date_modified": "2026-03-02T18:02:13.572000Z",
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"abstract": "We demonstrate the existence of stable non-dispersing two-electron\nTrojan-like wave packets in the helium atom in combined magnetic and circularly\npolarized microwave fields. These packets follow circular orbits and we show\nthat they can also exist in quantum dots. Classically the two electrons follow\ntrajectories which resemble orbits discovered by Langmuir and which were used\nin attempts at a Bohr-like quantization of the helium atom. Eigenvalues of a\ngeneralized Hessian matrix are computed to investigate the classical stability\nof these states. Diffusion Monte Carlo simulations demonstrate the quantum\nstability of these two-electron wave packets in the helium atom and quantum dot\nhelium with an impurity center.",
"arxiv_id": "quant-ph/0502071",
"authors": [
"Matt Kalinski",
"Loren Hansen",
"David Farrelly"
],
"categories": [
"quant-ph"
],
"title": "Nondispersive two-electron Trojan wave packets",
"url": "https://arxiv.org/abs/quant-ph/0502071"
},
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"variant": "snapshot-2026-03-01",
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