Polarization functions for the calculations of polarizability and hyperpolarizability. Application to the helium atom and the hydrogen molecule

1992 ◽  
Vol 254 ◽  
pp. 177-189 ◽  
Author(s):  
N. El Bakali Kassimi ◽  
M. Tadjeddine ◽  
J.P. Flament ◽  
G. Berthier ◽  
H.P. Gervais
Keyword(s):  
Helium Atom ◽  
Hydrogen Molecule ◽  
Polarization Functions

Interaction Potential between Ground State Helium Atom and theB1Σu+State of the Hydrogen Molecule

1972 ◽  
Vol 56 (3) ◽  
pp. 1219-1223 ◽  
Author(s):  
Henry F. Schaefer ◽  
Daniel Wallach ◽  
Charles F. Bender
Keyword(s):  
Helium Atom ◽  
Interaction Potential ◽  
Ground State ◽  
Hydrogen Molecule

Isotope Effect in Collision Between Helium Atom and Hydrogen Molecule

1998 ◽  
Vol 15 (1) ◽  
pp. 19-20 ◽  
Author(s):  
Xiang-dong Yang ◽  
Ji-yan Zhang ◽  
Fu-qian Jing
Keyword(s):  
Helium Atom ◽  
Isotope Effect ◽  
Hydrogen Molecule

scholarly journals Explicit Green operators for quantum mechanical Hamiltonians. II. Edge-type singularities of the helium atom

2019 ◽  
Vol 13 (07) ◽  
pp. 2050122
Author(s):  
Heinz-Jürgen Flad ◽  
Gohar Flad-Harutyunyan ◽  
Bert-Wolfgang Schulze
Keyword(s):  
Asymptotic Behavior ◽  
Helium Atom ◽  
Hydrogen Molecule ◽  
Second Order ◽  
Quantum Mechanical ◽  
Electron Systems ◽  
Explicit Formulas ◽  
Edge Type ◽  
Oppenheimer Approximation ◽  
Hamiltonian Operators

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.

Electron Distributions for the Helium Atom–Hydrogen Molecule System

1971 ◽  
Vol 55 (3) ◽  
pp. 1046-1053 ◽  
Author(s):  
Michael D. Gordon ◽  
Don Secrest ◽  
Claro Llaguno
Keyword(s):  
Helium Atom ◽  
Hydrogen Molecule ◽  
Electron Distributions
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