scholarly journals Stability of Three-Body Coulomb Systems with J = 1 in the Oscillator Representation

1996 ◽  
Vol 21 (2) ◽  
pp. 63-79
Author(s):  
M. Dineykhan ◽  
G.V. Efimov
Keyword(s):  
Coulomb Systems ◽  
Oscillator Representation ◽  
Three Body

Positional correlation in laser-excited three-body Coulomb systems

1990 ◽  
Vol 64 (3) ◽  
pp. 274-277 ◽  
Author(s):  
U. Eichmann ◽  
V. Lange ◽  
W. Sandner
Keyword(s):  
Coulomb Systems ◽  
Three Body

scholarly journals Two-Parameter Harmonic Oscillator Expansion Method for Calculating Non-Relativistic Ground State Energy of Coulomb Three-Particle Systems with Two Identical Particles

2018 ◽  
Vol 173 ◽  
pp. 02006
Author(s):  
Algirdas Deveikis
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Traditional Approach ◽  
Coulomb Systems ◽  
Expansion Method ◽  
Variational Parameter ◽  
Oscillator Representation ◽  
Identical Particles ◽  
Oscillator Basis

The variational method in oscillator representation with individual parameters for each Jacobi coordinate is applied to the non-relativistic calculation of the ground state energy of a number of three-particle Coulomb systems, consisting of two identical particles and a different one. The accuracy and convergence rate of the calculations in the constructed oscillator basis are studied up to a total of 28 oscillator quanta. The results are compared with those of the traditional approach using only one such nonlinear variational parameter. The method with individual parameters for Jacobi coordinates is found to possess a number of advantages as compared to the traditional approach.

Long-range interactions in planetary three-body Coulomb systems

1997 ◽  
Vol 56 (2) ◽  
pp. 1255-1267 ◽  
Author(s):  
K.-D. Heber ◽  
M. Seng ◽  
M. Halka ◽  
U. Eichmann ◽  
W. Sandner
Keyword(s):  
Long Range ◽  
Coulomb Systems ◽  
Long Range Interactions ◽  
Three Body
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