X-Encontro-Nacional-de-Fisica-da-Materia-Condensada

ATO/11:15/4A.F1
'ESTAOLIS ESTACIONARIOS OE OUAS PARTICULAS OE OIRAC EM UM CENTRO COULOMBIANO"-Jor-
Bs Futoard Yamamoto Au %pito Aostinho Nato - Institute de Plaice USP
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ATOM:35/411.F IALIGNMENT IN RESSONANT PHOTOIONIZATION OF HELIUM ATOMS - Jose
Eduardo Martimbo Homes - IFQSC/USP
The bombardement of atomic Helium by vacum-uv photons causes the ressonant ionization
of the system and consequently the alignement of the Heliun ions produced
in the reation. The Schrodinger equation for the three body system in the continuo
is solved based. In the use of hyperspbericel coordinates for the six-dimensional
Hamiltonian. First potential,curves and analytical channel functions on
the variables e,.43, ,p, 4 2 . _ - ple o rar2 are obtained. Finally radial aqua -
tions on the vatianle R ■ Irr, are numerically solved, precise wave functions
are obtained and the alignement - tensor is sucessifully calculated. Comparetion
with experiments are now possible and in progress.
ATO/1 1 :33/eit.F1 OPTIMIZATION BY ANNEALING IN ATOMIC PHYSICS: AN UNIFIED DESCRIP-
TION OF LIGHT ATOMS BELLOW THE MULTIPLE IONIZATION THRESHOLD -
Jose Eduardo Martinho Hornos - IFQSCillEP
Spherical coordinates In 3N dimentions provides the natural frame work for the
analysis of the N body Coulomb system. It also allow one to naturally decouple
the problem in two steps. first potential curves are obtained and then radial
equations solved. This technique has been implemented for two-electron atoms and
few-body nuclear systems. In atomic systems the implementation for larger sysitems
is obstructed by the need of large diagonalizations or optimization of .
multi-variables functions. The advantage of the hyperspherical coordinates formalism
is it's unified description of the all atomic properties bellow the multiple
ionization threshold. Recently a method which allow one to perform complex
optimization procedures has been developed by Kirkpatrick at al. using statistical
mechanics ideas and the idea of "annealing" local minimum traps can be avoided.
We show how the simulated annealing idea and the hyperspherical formalism
can be combined in order to calculate potential curves for complex systems.