Improving the convergence and estimating the accuracy of summation approximants of 1/D expansions for Coulombic systems

1998 ◽  
Vol 39 (10) ◽  
pp. 5112-5122 ◽  
Author(s):  
Melchior O. Elout ◽  
David Z. Goodson ◽  
Carl D. Elliston ◽  
Shi-Wei Huang ◽  
Alexei V. Sergeev ◽  
...  
Keyword(s):  
Coulombic Systems

Solution of the Faddeev equations for Coulombic systems

1993 ◽  
Vol 82 (1-4) ◽  
pp. 59-72 ◽  
Author(s):  
Chi-Yu Hu ◽  
A. A. Kvitsinsky
Keyword(s):  
Faddeev Equations ◽  
Coulombic Systems

An essentially exact many body calculation for muonic molecular ions and exotic coulombic systems

2009 ◽  
Vol 107 (17) ◽  
pp. 1817-1821 ◽  
Author(s):  
Barnali Chakrabarti ◽  
Tapan Kumar Das
Keyword(s):  
Molecular Ions ◽  
Many Body ◽  
Coulombic Systems

Bicontinuous phases in coulombic systems. The role of specific interactions

2000 ◽  
Vol 87 (2-3) ◽  
pp. 163-175 ◽  
Author(s):  
D. di Caprio ◽  
A.E. Filippov ◽  
J. Stafiej ◽  
J.P. Badiali
Keyword(s):  
Specific Interactions ◽  
Bicontinuous Phases ◽  
Coulombic Systems

Electronic Specific Heat of Coulombic Systems

1989 ◽  
Vol 156 (2) ◽  
pp. 515-525 ◽  
Author(s):  
M. Rösler ◽  
W. Stolzmann
Keyword(s):  
Specific Heat ◽  
Electronic Specific Heat ◽  
Coulombic Systems

scholarly journals Analyticity of the One-Particle Density Matrix

2021 ◽  
Author(s):  
Peter Hearnshaw ◽  
Alexander V. Sobolev
Keyword(s):  
Density Matrix ◽  
Particle Density ◽  
Real Analytic ◽  
The One ◽  
Coulombic Systems

AbstractIt is proved that the one-particle density matrix $$\gamma (x, y)$$ γ ( x , y ) for multi-particle Coulombic systems is real analytic away from the nuclei and from the diagonal $$x = y$$ x = y .

SOLITONIC NATURAL ORBITALS IN COULOMBIC SYSTEMS

2022 ◽  
Author(s):  
Jerzy Cioslowski ◽  
Filip Pratnicki ◽  
Krzysztof Strasburger
Keyword(s):  
Natural Orbitals ◽  
Coulombic Systems

scholarly journals Hyperspherical three-body model calculation for the bound 3,1S-states of Coulombic systems

2015 ◽  
Vol 24 (12) ◽  
pp. 1550094
Author(s):  
Md. Abdul Khan
Keyword(s):  
Nuclear Charge ◽  
Body Wave ◽  
Body Model ◽  
Finite Set ◽  
Potential Matrix ◽  
Three Body ◽  
Coupling Potential ◽  
Infinite Set ◽  
Model Formalism ◽  
Coulombic Systems

In this paper, hyperspherical three-body model formalism has been applied for the calculation of energies of the low-lying bound [Formula: see text]-states of neutral helium and helium like Coulombic three-body systems having nuclear charge (z) in the range [Formula: see text]. Energies of [Formula: see text]-states are also calculated for those having nuclear charge in the range [Formula: see text]. The calculation of the coupling potential matrix elements of the two-body potentials has been simplified by the use of Raynal–Revai Coefficients (RRC). The three-body wave function in the Schrödinger equation when expanded in terms of hyperspherical harmonics (HH), leads to an infinite set of coupled differential equation (CDE) which for practical purposes is truncated to a finite set and the truncated set of CDE’s are solved by renormalized Numerov method (RNM) to get the energy (E). The calculated energy is compared with the ones of the literature.

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