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We present a review of the basic ideas and techniques of the spectral density functional theory which are currently used in electronic structure calculations of strongly-correlated materials where the one-electron description breaks down.…

Strongly Correlated Electrons · Physics 2009-11-11 G. Kotliar , S. Y. Savrasov , K. Haule , V. S. Oudovenko , O. Parcollet , C. A. Marianetti

We comment on a recent application of the RPA method and its extensions to the case of the two-level pairing model by N. Dinh Dang [1].

Nuclear Theory · Physics 2009-11-10 A. Rabhi

We calculate the ground state energy of a massive scalar field in the background of a cosmic string of finite thickness (Gott-Hiscock metric). Using zeta functional regularization we discuss the renormalization and the relevant heat kernel…

General Relativity and Quantum Cosmology · Physics 2008-11-26 N. R. Khusnutdinov , M. Bordag

We extend the statistical field-theoretical framework of rough surface contact mechanics to characterize the interfacial gap between an elastic half-space and a randomly rough surface incorporating exponential repulsion. Building upon a…

Soft Condensed Matter · Physics 2026-03-10 Yunong Zhou , Hengxu Song , Zhichao Zhang , Yang Xu

We introduce a variational method for the approximation of ground states of strongly interacting spin systems in arbitrary geometries and spatial dimensions. The approach is based on weighted graph states and superpositions thereof. These…

Quantum Physics · Physics 2007-05-23 S. Anders , M. B. Plenio , W. Dür , F. Verstraete , H. -J. Briegel

A simple expression for a ground state energy for a two-electron atom is derived. For this, assumption based upon the Niels Bohr ''old'' quantum mechanics idea about electron correlation in a two-electron atom is exploited. Results are…

Quantum Physics · Physics 2007-05-23 M. Auzinsh , R. Damburg

Starting from full quantum field theory, various mean field approaches are derived systematically. With a full consideration of external source dependence, the stationary phase approximation of an action gives a nuclear mean field theory…

Nuclear Theory · Physics 2007-05-23 Suk-Joon Lee

We present a mean field theory for excited states that is broadly analogous to ground state Hartree-Fock theory. Like Hartree-Fock, our approach is deterministic, state-specific, applies a variational principle to a minimally correlated…

Strongly Correlated Electrons · Physics 2018-08-28 Jacqueline A. R. Shea , Eric Neuscamman

Ground state energies and on-site density-density correlations are calculated for the 1-D Hubbard model using a linear combination of the Hubbard projection operators. The mean-field coefficients in the resulting linearized Equations of…

Condensed Matter · Physics 2009-10-22 J. C. Hicks , J. Tinka Gammel

We present a perturbative method to compute the ground state entanglement entropy for interacting systems. We apply it to a collective model of mutually interacting spins in a magnetic field. At the quantum critical point, the entanglement…

Statistical Mechanics · Physics 2010-05-11 T. Barthel , S. Dusuel , J. Vidal

For interacting electrons in solids, Heisenberg's equation is used to calculate the distribution in energy of transitions induced by adding an electron to an atomic-like spin orbital. This is the projected density of transitions which…

Strongly Correlated Electrons · Physics 2017-02-15 Roger Haydock

A Fortran program for the calculation of the ground state properties of axially deformed even-even nuclei in the relativistic framework is presented. In this relativistic mean field (RMF) approach a set of coupled differential equations…

Nuclear Theory · Physics 2009-10-30 P. Ring , Y. K. Gambhir , G. A. Lalazissis

Field-theoretic construction of functional representations of solutions of stochastic differential equations and master equations is reviewed. A generic expression for the generating function of Green functions of stochastic systems is put…

Mathematical Physics · Physics 2012-10-16 Juha Honkonen

We present a statistical mechanics description to study the ground state of quantum systems. In this approach, averages for the complete system are calculated over the non-interacting energy levels. Taking different interaction parameter,…

Statistical Mechanics · Physics 2015-05-20 Andre M. C. Souza

We consider a small and fixed number of fermions in an isolated one-dimensional trap (microcanonical ensemble). The ground state of the system is defined at T=0, with the lowest single-particle levels occupied. The number of particles in…

Mathematical Physics · Physics 2009-11-07 Muoi N. Tran

A method is presented for the calculation of all exact ground states of diluted antiferromagnets and random field systems in an arbitrary range of fields. It works by calculating all jump-fields B,\Delta where the system changes it's ground…

Disordered Systems and Neural Networks · Physics 2015-06-25 Alexander K. Hartmann

The calculation of molecular excited states is critically important to decipher a plethora of molecular properties. In this manuscript, we develop an equation of motion formalism on top of a bi-exponentially parametrized ground state…

Chemical Physics · Physics 2024-01-09 Anish Chakraborty , Pradipta Kumar Samanta , Rahul Maitra

The dynamics of non-equilibrium Ising model with parallel updates is investigated using a generalized mean field approximation that incorporates multiple two-site correlations at any two time steps, which can be obtained recursively. The…

Disordered Systems and Neural Networks · Physics 2015-06-17 Hamed Mahmoudi , David Saad

The validity of the approximations done in the mean field description of the quasi-elastic excitation of medium-heavy nuclei is discussed. A test of the reliability of the plane wave Born approximation is presented. The uncertainty related…

Nuclear Theory · Physics 2007-05-23 J. E. Amaro , G. Co' , A. M. Lallena

Method of the laboratory modeling of the Earth radiation belt is presented. Method can be used for the estimation of consequences of global energetic and communication projects realizations.

Space Physics · Physics 2007-05-23 Alexander Luchinskiy , Yakov S. Shifrin