Bulletin of the American Physical Society
52nd Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 66, Number 6
Monday–Friday, May 31–June 4 2021; Virtual; Time Zone: Central Daylight Time, USA
Session M03: Chiral Molecules and Chiral Light
2:00 PM–4:00 PM,
Wednesday, June 2, 2021
Chair: Jean Marcel Ngoko Djiokap, University of Nebraska - Lincoln
Abstract: M03.00010 : Trojan Wave Packets in the Circularly Polarized and the Magnetic Fields on the multi-layer Langmuir type $(1)$ Helium trajectories extended for odd number of electron atoms
3:48 PM–4:00 PM
On Demand
Presenter:
Matt Kalinski
(Utah State Univ)
Author:
Matt Kalinski
(Utah State Univ)
trajectories [1] used in the early attempts to impose the Hydrogen Bohr atom
quantization from the even $2N$ electron atoms to the $2N+1$
odd number or electrons. While the $2N$ electron
Helium trajectories consist of two layers of electrons moving in phase on the two
parallel circles with electron configurations placed at
the vertexes of angles of regular polygons parallel in space those for $2N+1$ electrons must consist
of k layers where k is the smallest divisor of the $2N+1$ with the one layer
embedded in the plane containing the atom nucleus. When the $2N+1$
is a prime there is only one layer forming the regular polygon. Additionally the
polygons on one side of this plane can be of the different size so the
whole configuration forms a ``Wigner Diamond".
Similarly to the $2N$ case the addition of the Circularly
Polarized electromagnetic field with the electric field rotating in planes of
the field free electrons is causing the shape polarization distortion from
discrete rotational symmetry of the resulting polyhedron. The classical stabilization of the
trajectories by the combination of fields further leads to the existence of
non-dispersing localized wave packets moving around the trajectories.
The time dependent Hartree simulations of existence of such Wave Packets as well as those with the Time
Dependent Quantum Diffusion Monte Carlo Method are conducted.
[1] M. Kalinski, et al., Phys. Rev. Lett. {bf 95}, 103001,
(2005).
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