Adiabatic Generation of Langmuir Trojan States in Helium Atom

Michael J. Jamieson

Arend Niehaus, P. van der Straten, G.R. Woestenenk

Matt Kalinski

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.

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.

Angelo Russomanno, Emanuele G. Dalla Torre

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.