Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Frontiers in Optics

Nondispersing Trojan-Like Wavepackets on Langmuir Click-Clack Balls Oscillatory Trajectories in Helium Atom and Quantum Dots

Matt Kalinski

Published Jan 1, 2019• 0 citations
Publisher

Abstract

New kind of Trojan-like nondispersing two-electron wave packets is discovered on the Langmuir oscillating model trajectories with the electrons half-orbiting nucleus and periodically bouncing from each other in the analogy to the Click-Clack Balls.
DOI
10.1364/fio.2019.jw4a.110

Related papers

Multi-Electron Nondispersing Trojan-Like Wavepackets on Multiple Click-Clack Balls Trajectories in Atoms and Quantum Dots

Matt Kalinski

Multi-electron extension of the Trojan-like wave packets on the Langmuir oscilating He model trajectories is discovered with the electrons half-orbitting nucleus and bouncing collectively from each other in analogy to the multiple Click-Clack Balls.

Frontiers in Optics•Jan 1, 2020•0 citations

Multi-Layer Polaronic Multi-Electron Nondispersing Trojan-Like Wavepackets on Multiple Click-Clack Balls Trajectories in Atoms and Quantum Dots

Matt Kalinski

Multi-electron extension of the Trojan-like wave packets on the Langmuir oscillating He model trajectories is found with the electrons fractionally-orbitting the nucleus and bouncing collectively from each other in analogy to few groups of multiple Click-Clack Balls.

Frontiers in Optics•Jan 1, 2025•0 citations

Nondispersive two-electron Trojan wave packets

Matt Kalinski, Loren Hansen, David Farrelly

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.

arXiv:quant-ph/0502071•Feb 14, 2005•0 citations

Nondispersive Two-Electron Wave Packets in a Helium Atom

Matt Kalinski, Loren Hansen, David Farrelly

We demonstrate the existence of stable nondispersing two-electron 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.

Physical Review Letters•Sep 2, 2005•18 citations

Free Falling Trojan-like Wavepackets on Triangular Orbits in Magnetic and Electromagnetic Fields

Matt Kalinski

We discover that under the fine parameters tuning the free fall of the electron in the Coulomb, magnetic and the polarized electromagnetic fields results in the existence of non-dispersing wave packets moving on triangular trajectories.

Frontiers in Optics•Jan 1, 2014•0 citations

Creating and Transporting Trojan Wave Packets

B. Wyker, S. Ye, F. B. Dunning +3 more

Nondispersive localized Trojan wave packets with n(i) ~ 305 moving in near-circular Bohr-like orbits are created and transported to localized near-circular Trojan states of higher n, n(f) ~ 600, by driving with a linearly polarized sinusoidal electric field whose period is slowly increased. The protocol is remarkably efficient with over 80% of the initial atoms being transferred to the higher n states, a result confirmed by classical trajectory Monte Carlo simulations.

Physical Review Letters•Jan 24, 2012•16 citations
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.
We demonstrate the existence of stable nondispersing two-electron 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.