Finite-field many-body perturbation theory II. SD-MBPT study of the nuclear charge dependence of the electron correlation contribution to the dipole polarizability of 10-electron atomic systems

1982 ◽  
Vol 61 (5) ◽  
pp. 485-504 ◽  
Author(s):  
Geerd H. F. Diercksen ◽  
Andrzej J. Sadlej
Keyword(s):  
Perturbation Theory ◽  
Finite Field ◽  
Electron Correlation ◽  
Nuclear Charge ◽  
Dipole Polarizability ◽  
Many Body ◽  
Atomic Systems ◽  
Charge Dependence ◽  
Many Body Perturbation Theory

Static Dipole Polarizabilities of C, N, O and F: The Importance of Spin Projection

1990 ◽  
Vol 193 ◽  
Author(s):  
C. Sosa ◽  
K. F. Ferris
Keyword(s):  
Perturbation Theory ◽  
Finite Field ◽  
Ground State ◽  
Wave Functions ◽  
Spin Projection ◽  
Dipole Polarizability ◽  
Many Body ◽  
Hartree Fock ◽  
Many Body Perturbation Theory ◽  
Dipole Polarizabilities

ABSTRACTThe static dipole polarizability for the ground state of C(3Π ), N(4∑+), O(3Π ) and F(2∑+ ) have been calculated using ab initio molecular orbital techniques. The polarizabilities are obtained from unrestricted Hartree-Fock and Many-Body Perturbation Theory wave functions with and without spin projection, which are computed by finite-field differentiation. The effect of spin contamination is shown to be important on the calculation of static dipole polarizabilities for the ground state of C, N, O and F.

scholarly journals Stochastic many-body perturbation theory for electron correlation energies

2019 ◽  
Vol 151 (24) ◽  
pp. 244114
Author(s):  
Zhendong Li
Keyword(s):  
Perturbation Theory ◽  
Electron Correlation ◽  
Many Body ◽  
Many Body Perturbation Theory

scholarly journals Bond Breaking and Bond Formation: How Electron Correlation is Captured in Many-Body Perturbation Theory and Density-Functional Theory

2013 ◽  
Vol 110 (14) ◽  
Author(s):  
Fabio Caruso ◽  
Daniel R. Rohr ◽  
Maria Hellgren ◽  
Xinguo Ren ◽  
Patrick Rinke ◽  
...  
Keyword(s):  
Density Functional Theory ◽  
Perturbation Theory ◽  
Electron Correlation ◽  
Density Functional ◽  
Bond Formation ◽  
Bond Breaking ◽  
Many Body ◽  
Functional Theory ◽  
Many Body Perturbation Theory

Fourth-order many-body perturbation-theory study of the electron-correlation contribution to polarizabilities of Ne

1986 ◽  
Vol 33 (2) ◽  
pp. 814-823 ◽  
Author(s):  
Ivan Cernusak ◽  
Geerd H. F. Diercksen ◽  
Andrzej J. Sadlej
Keyword(s):  
Perturbation Theory ◽  
Fourth Order ◽  
Electron Correlation ◽  
Many Body ◽  
Many Body Perturbation Theory

ENERGY-DEPENDENT MANY-BODY PERTURBATION THEORY: A ROAD TOWARDS A MANY-BODY-QED PROCEDURE

2007 ◽  
Vol 16 (04) ◽  
pp. 1221-1231 ◽  
Author(s):  
INGVAR LINDGREN ◽  
STEN SALOMONSON ◽  
DANIEL HEDENDAHL
Keyword(s):  
Perturbation Theory ◽  
Electron Correlation ◽  
Numerical Evaluation ◽  
Arbitrary Order ◽  
Coulomb Interactions ◽  
Many Body ◽  
Many Body Perturbation Theory ◽  
Qed Effects ◽  
Energy Dependent ◽  
Rigorous Procedure

A rigorous procedure for energy-dependent many-body perturbation theory (MBPT) is presented. This can be applied for numerical evaluation of many-body-QED effects by combining QED with electron correlation to arbitrary order. So far, it has been used only for the exchange of a single retarded photon together with an arbitrary number of instantaneous Coulomb interactions. For heliumlike neon this represents more than 99% of the nonradiative effect on the energy beyond standard MBPT.

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