Two-Electron Systems—The Helium Atom

Author(s):  
Arno Bohm
Keyword(s):  
1979 ◽  
pp. 245-273
Author(s):  
Arno Böhm
Keyword(s):  

2019 ◽  
Vol 13 (07) ◽  
pp. 2050122
Author(s):  
Heinz-Jürgen Flad ◽  
Gohar Flad-Harutyunyan ◽  
Bert-Wolfgang Schulze

We extend our approach of asymptotic parametrix construction for Hamiltonian operators from conical to edge-type singularities which is applicable to coalescence points of two particles of the helium atom and related two electron systems including the hydrogen molecule. Up to second-order, we have calculated the symbols of an asymptotic parametrix of the nonrelativistic Hamiltonian of the helium atom within the Born–Oppenheimer approximation and provide explicit formulas for the corresponding Green operators which encode the asymptotic behavior of the eigenfunctions near an edge.


1963 ◽  
Vol 12 (47) ◽  
pp. 299-353 ◽  
Author(s):  
A.L. Stewart
Keyword(s):  

2005 ◽  
Vol 103 (20) ◽  
pp. 2747-2761 ◽  
Author(s):  
F. Holka ◽  
P. Neogrády ◽  
V. Kellö ◽  
M. Urban ◽  
G.H.F. Diercksen

1978 ◽  
Vol 33 (8) ◽  
pp. 903-906
Author(s):  
Martha K. Heitzmann

The dipolmoments of the electrons destruct the infinite coulomb potential, forming a potentialwell with a surrounding wall instead, if they are in the right position. The possible eigenvalues can be seen in the exited states of the helium atom . They also must contribute to the energy of the Helium atom and other two-electron systems in the groundstate. The negative ion H- and the molecule H2 are included.


2003 ◽  
Vol 50 (3-4) ◽  
pp. 353-364 ◽  
Author(s):  
S. Laulan ◽  
H. Bachau ◽  
B. Piraux ◽  
J. Bauer ◽  
G. Lagmago Kamta
Keyword(s):  

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