Bulletin of the American Physical Society
55th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Monday–Friday, June 3–7, 2024; Fort Worth, Texas
Session G11: V: Ultrafast Dynamics and Spectroscopy
10:30 AM–12:30 PM,
Wednesday, June 5, 2024
Room: Virtual Room 1
Chair: Barry Walker, University of Delaware
Abstract: G11.00010 : Trojan Wave Packets in the Circularly Polarized and the Magnetic Fields on the multi-layer Langmuir type $(1)$ Helium trajectories with the inter-layer polygon type change and twist
12:18 PM–12:30 PM
Presenter:
Matt Kalinski
(Utah State Univ)
Author:
Matt Kalinski
(Utah State Univ)
Circularly Polarized (C.P.) electromagnetic field [1] we have formulated the general theorem stating that the
number of a distinct classically rotating frozen $N$-electron
configurations in the external magnetic field, the nuclear ion
field and the co-rotating electric field may be at least the
product of all naturally defined foldings of total force surfaces (the maximal number
any straight line may cut the surface which nontrivially is 2) obtained
by putting each of the $3N$-dimensional gradient component of
the Zero Velocity Surface to zero. Consistently with it
we have discovered a several highly symmetric configurations
originated from the Langmuir type $(1)$ ``Hoop Earrings" rotating
Helium-like model trajectories [1] with further small discrete
rotational symmetry $C_{nv}$ distortion by the polarizing Circularly Polarized
electromagnetic field without the loss of its nature.
Those were the multi-electron atom trajectories consisting
of many layers of electrons moving in phase on
circles with electron configurations placed at the
vertexes of angles of identical by type but only scaled
regular polygons parallel in space which additionally
could be also symmetrically twisted between each other
or when the neighboring layer vertex-aligned polygons are
plane-symmetrically of a different kind.
Here we combine the cases to the new situation when the neighboring
layer polygons are not only of a different kind but
also symmetrically twisted to preserve the discrete-rotational invariance
of shape.
For example the hexagon in the central plane may accompany
two twisted triangles placed symmetrically one in the upper
parallel plane and the other in the lower with their vertices being equidistant from
each of two of the closest vertices of this hexagon or the octagon
may similarly neighbor two twisted squares etc. The classical
stabilization of the trajectories by the combination of
fields further leads to the existence of non-dispersing
localized Trojan-like wave packets moving around the trajectories.
The time dependent Hartree simulations 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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