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A variational method for many electron system is applied to momentum distribution calculations. The method uses a generating two-electron geminal and the amplitudes of the occupancies of one particle natural orbitals as variational…

Strongly Correlated Electrons · Physics 2016-08-31 B. Barbiellini

The hydrogen molecule contains the basic ingredients to understand the chemical bond, i.e, a pair of electrons. We show a step to understand The Correspondence Principle for chaotic system in the Chemical World. The hydrogen molecule is…

Chaotic Dynamics · Physics 2007-05-23 A. Lopez-Castillo

Spin and orbital angular momenta are two intrinsic properties of an electron and are responsible for the physics of a solid. How the spin and orbital evolve with respect to each other on several hundred femtoseconds is largely unknown, but…

Materials Science · Physics 2021-06-25 G. P. Zhang , Mingqiang Gu , Y. H. Bai , T. L. Jenkins , Thomas F. George

The strong-coupling perturbation theory (SCPT) for correlated electron systems is extended to the case of full Coulomb interaction. The Coulomb mechanism of the orbital polarization is discussed and attention is paid to the importance of…

Strongly Correlated Electrons · Physics 2007-05-23 I. Sandalov , U. Lundin , O. Eriksson

The sensitivity of Density Functional Theory plus Dynamical Mean Field Theory calculations to different constructions of the correlated orbitals is investigated via a detailed comparison of results obtained for the quantum material…

Strongly Correlated Electrons · Physics 2021-05-12 Jonathan Karp , Alexander Hampel , Andrew J. Millis

The correction of the self-interaction error (SIE) that is inherent to all standard density functional theory (DFT) calculations is an object of increasing interest. In this article we apply the very recently developed Fermi-orbital based…

Computational Physics · Physics 2016-01-20 Torsten Hahn , Simon Liebing , Jens Kortus , Mark R. Pederson

Development of next-generation electronic devices for applications call for the discovery of quantum materials hosting novel electronic, magnetic, and topological properties. Traditional electronic structure methods require expensive…

Computational Physics · Physics 2020-05-28 Hexin Bai , Peng Chu , Jeng-Yuan Tsai , Nathan Wilson , Xiaofeng Qian , Qimin Yan , Haibin Ling

The quantum superposition principle has been extensively utilized in the quantum mechanical description of the bonding phenomenon. It explains the emergence of delocalized molecular orbitals and provides a recipe for the construction of…

We introduce diagrammatic technique for Hubbard nonequilibrium Green functions (NEGF). The formulation is an extension of equilibrium considerations for strongly correlated lattice models to description of current carrying molecular…

Mesoscale and Nanoscale Physics · Physics 2016-11-04 Feng Chen , Maicol A. Ochoa , Michael Galperin

At the limit of an infinite confinement strength $\omega$, the ground state of a system that comprises two fermions or bosons in a harmonic confinement interacting through the Fermi--Huang pseudopotential remains strongly correlated. A…

Chemical Physics · Physics 2023-05-24 Jerzy Cioslowski , Berthold-Georg Englert , Martin-Isbjörn Trappe , Jun Hao Hue

The non-radial oscillations of the neutron stars (NSs) have been suggested as a useful tool to probe the composition of neutron star matter (NSM). With this scope in mind, we consider a large number of equations of states (EOSs) that are…

Nuclear Theory · Physics 2023-06-16 Deepak Kumar , Tuhin Malik , Hiranmaya Mishra , Constança Providência

A numerical method of mode analysis of rapidly rotating relativistic stellar models by the Cowling approximation is applied to rotating neutron stars with realistic equations of state. For selected equations of state, eigenvalues and…

Astrophysics · Physics 2009-10-30 S. Yoshida , Y. Eriguchi

Nuclear quantum effects are essential for correctly describing hydrogen-rich materials at high pressures. Superconducting hydrides and ice are prime examples of such systems, requiring the inclusion of lattice anharmonicity and nuclear…

Accurate description of deformed atomic nuclei by the orbital-free density functional theory has been a longstanding textbook challenge, due to the difficulty in accounting for the intricate quantum shell effects that are present in such…

Nuclear Theory · Physics 2024-12-31 X. H. Wu , Z. X. Ren , P. W. Zhao

The Electron Localization Function (ELF) -- as proposed originally by Becke and Edgecombe -- has been widely adopted as a descriptor of atomic shells and covalent bonds. The ELF takes into account the antisymmetry of Fermions but it…

Materials Science · Physics 2015-09-15 Stefano Pittalis , Alain Delgado , Carlo Andrea Rozzi

An active space variational calculation of the 2-electron reduced density matrix (2-RDM) is derived and implemented where the active orbitals are correlated within the pair approximation. The pair approximation considers only doubly…

Chemical Physics · Physics 2020-10-13 Kade Head-Marsden , David A. Mazziotti

Complete information on the equilibrium behaviour and dynamics of a quantum field theory (QFT) is provided by multipoint correlation functions. However, their theoretical calculation is a challenging problem, even for exactly solvable…

Statistical Mechanics · Physics 2018-09-19 Ivan Kukuljan , Spyros Sotiriadis , Gabor Takacs

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

The nonlocal electrodynamics of uniformly rotating systems is presented and its predictions are discussed. In this case, due to paucity of experimental data, the nonlocal theory cannot be directly confronted with observation at present. The…

High Energy Physics - Theory · Physics 2010-11-19 Bahram Mashhoon

Electron correlation effects are essential for an accurate ab initio description of molecules. A quantitative a priori knowledge of the single- or multi-reference nature of electronic structures as well as of the dominant contributions to…

Quantum Physics · Physics 2012-12-18 Katharina Boguslawski , Paweł Tecmer , Örs Legeza , Markus Reiher