Nondispersive Two-Electron Wave Packets in a Helium Atom

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Other Topics In The Theory Of The Electronic Structure Of Atoms And Molecules, Multiphoton Ionization And Excitation To Highly Excited States, Strong-Field Excitation Of Optical Transitions In Quantum Systems, Multiphoton Processes, Dynamic Stark Shift, Celestial Mechanics

Scientific paper

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.

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