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Related papers: Correlation potential and ladder diagrams

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An alternative multipole expansion of the correlation term is derived. Modified spherical Bessel type functions which simplify as a summation of multiple orders of basic trigonometric functions are generated from this new method. We use…

Quantum Physics · Physics 2017-04-10 Eric Ouma Jobunga

The non-relativistic interacting electron gas in an external field of positively charged massive cores is dealt with in the scheme of second quantization. Ladder operators that change between stationary states of contiguous energy…

Quantum Physics · Physics 2025-02-27 Miguel Lagos

It was shown that tunneling current flowing through a system with Coulomb correlations leads to charge redistribution between the different localized states. Simple model consisting of two electron levels have been analyzed by means of…

Other Condensed Matter · Physics 2012-07-02 P. I. Arseyev , N. S. Maslova , V. N. Mantsevich

We present a semiclassical method to treat the proton breakup from a weakly bound state in an exotic nucleus. The Coulomb interactions between the proton, core and target are treated to all orders and including the full multipole expansion…

Nuclear Theory · Physics 2008-11-26 A. García-Camacho , G. Blanchon , A. Bonaccorso , D. M. Brink

A system of N classical Coulomb charges trapped in a harmonic potential displays shell structure and orientational ordering. The local density profile is well understood from theory, simulation, and experiment. Here, pair correlations are…

Statistical Mechanics · Physics 2015-05-30 Jeffrey Wrighton , Hanno Kählert , Torben Ott , Patrick Ludwig , Hauke Thomsen , James Dufty , Michael Bonitz

The ordering of N equally charged particles (-e) moving in two dimensions and confined by a Coulomb potential, resulting from a displaced positive charge Ze is discussed. This is a classical model system for atoms. We obtain the…

Strongly Correlated Electrons · Physics 2007-05-23 W. P. Ferreira , A. Matulis , G. A. Farias , F. M. Peeters

In this work, we investigate the thermal quantum correlations in two coupled double semiconductor charge qubits. This is carried out by deriving analytical expressions for both the thermal concurrence and the correlated coherence. We study,…

Quantum Physics · Physics 2023-07-19 Cleverson Filgueiras , Onofre Rojas , Moises Rojas

We find an unexpected scaling in the correlation energy of artificial atoms, i.e., harmonically confined two-dimensional quantum dots. The scaling relation is found through extensive numerical examinations including Hartree-Fock,…

Mesoscale and Nanoscale Physics · Physics 2015-04-28 Alexander Odriazola , Mikko M Ervasti , Ilja Makkonen , Alain Delgado , Augusto González , Esa Räsänen , Ari Harju

A quantitative description of the configurational part of the total energy of metallic alloys with substantial atomic size difference cannot be achieved in the atomic sphere approximation: It needs to be corrected at least for the multipole…

Materials Science · Physics 2009-11-07 A. V. Ruban , S. I. Simak , P. A. Korzhavyi , H. L. Skriver

In this work we propose a novel composite method for accurate calculation of the energies of many-electron atoms. The dominant contribution to the energy (pair energies) are calculated by using explicitly correlated factorisable coupled…

Atomic Physics · Physics 2018-12-12 Michal Przybytek , Michal Lesiuk

The third-order particle-hole ring diagrams are evaluated for a NN-contact interaction of the Skyrme type. The pertinent four-loop coefficients in the energy per particle $\bar E(k_f) \sim k_f^{5+2n}$ are reduced to double-integrals over…

Nuclear Theory · Physics 2017-08-23 N. Kaiser

Electronic structure methods for accurate calculation of molecular properties have a high cost that grows steeply with the problem size, therefore, it is helpful to have the underlying atomic basis functions that are less in number but of…

Chemical Physics · Physics 2019-03-15 Dimitri N. Laikov

We report the results of our calculations of the atomic electric dipole moments of cesium and thallium arising from the electron-nucleus scalar-pseudoscalar interaction. The calculations are based on the all order relativistic…

Atomic Physics · Physics 2007-05-23 Bijaya K. Sahoo , Rajat K. Chaudhuri , B. P. Das , Debashis Mukherjee , E. P. Venugopal

The theory of correlated electron systems is formulated in a form which allows to use as a reference point an ab initio band structure theory (AIBST). The theory is constructed in two steps. As a first step the total Hamiltonian is…

Strongly Correlated Electrons · Physics 2007-05-23 Igor Sandalov , Borje Johansson , Olle Eriksson

The Coulomb exchange and correlation energy density functionals for electron systems are applied to nuclear systems. It is found that the exchange functionals in the generalized gradient approximation provide agreements with the exact-Fock…

Nuclear Theory · Physics 2019-12-09 Tomoya Naito , Ryosuke Akashi , Gianluca Colò , Haozhao Liang , Xavier Roca-Maza

Many methods for computing electronic correlation effects at finite temperature are related to many-body perturbation theory in the grand-canonical ensemble. In most applications, however, the average number of electrons is known rather…

Materials Science · Physics 2022-10-21 Felix Hummel

An electrodynamical coupled cluster (CC) methodology starting from a covariant formalism and an equal time approximation, and finally based on the Dirac-Fock picture of the electron and positron fields and Coulomb gauge, is given here. The…

Atomic Physics · Physics 2019-04-30 Sambhu N. Datta

We present a density-matrix rate-equation approach to sequential tunneling through a metal particle weakly coupled to ferromagnetic leads. The density-matrix description is able to deal with correlations between degenerate many-electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Stephan Braig , Piet W. Brouwer

A way to account for correlations between the chemically active (valence) and innermore (core) electrons in the framework of the generalized relativistic effective core potential (GRECP) method is suggested. The "correlated" GRECP's…

Chemical Physics · Physics 2009-11-10 N. S. Mosyagin , A. V. Titov

Core-polarization interactions are investigated in low-energy electron elastic scattering from the atoms In,Sn,Eu,Au and At through the calculation of their electron affinities. The complex angular momentum method wherein is embedded the…

Atomic Physics · Physics 2015-10-07 Z. Felfli , A. Z. Msezane