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Traditional multiconfiguration Hartree-Fock (MCHF) and configuration interaction (CI) methods are based on a single orthonormal orbital basis (OB). For atoms with complicated shell structures, a large OB is needed to saturate all the…

Atomic Physics · Physics 2015-06-12 S. Verdebout , P. Rynkun , P. Jönsson , G. Gaigalas , C. Froese Fischer , M. Godefroid

We consider an electrostatically induced square lattice of quantum dots and study the role of electron-electron correlations in the resulting electronic features of the system. We utilize the Wannier functions methodology in order to…

Strongly Correlated Electrons · Physics 2022-01-11 A. Biborski , M. P. Nowak , M. Zegrodnik

We present a new methodology to analyze complicated multi-physics simulations by introducing a fictitious parameter. Using the method, we study quantum mechanical aspects of an organic molecule in water. The simulation is variationally…

Chaotic Dynamics · Physics 2007-05-23 Toshiya Takami , Jun Maki , Jun-ichi Ooba , Taizo Kobayashi , Rie Nogita , Mutsumi Aoyagi

The projection of the eigenfunctions obtained in standard plane-wave first-principle electronic-structure calculations into atomic-orbital basis sets is proposed as a formal and practical link between the methods based on plane waves and…

Condensed Matter · Physics 2009-10-28 Daniel Sanchez-Portal , Emilio Artacho , Jose M. Soler

We investigate the possibility of using a transcorrelated Hamiltonian to describe electron correlation. Amethod to obtain transcorrelatedwavefunctionswas developed based on the mathematical framework of the bi-variational principle. This…

Chemical Physics · Physics 2024-07-23 Nicholas Lee , Alex J. W. Thom

A two-orbital two-electron diatomic model resembling LiH is used to investigate the differences between the exact L\"owdin-Shull and approximate Hartree-Fock-Bogoliubov and Baerends-Buijse density matrix functionals in the medium- to…

Chemical Physics · Physics 2020-09-09 Robert van Meer , Jeng-Da Chai

We show that using coherent, spatially resolved spectroscopy, complex hybrid wave functions can be disentangled into the individual wave functions of the individual emitters. This way, detailed information on the coupling of the individual…

Mesoscale and Nanoscale Physics · Physics 2012-08-23 M. Richter , F. Schlosser , M. Schoth , S. Burger , F. Schmidt , A. Knorr , S. Mukamel

The energy levels of hydrogen and helium atoms in strong magnetic fields are calculated in this study. The current work contains estimates of the binding energies of the first few low-lying states of these systems that are improvements upon…

Astrophysics · Physics 2012-02-08 Anand Thirumalai , Jeremy S. Heyl

In this letter, we have considered an electron in a coupled quantum dot system interacting with a detector represented by a point contact. We present a dynamical model for wave function collapse in the strong coupling to the detector limit.…

Mesoscale and Nanoscale Physics · Physics 2017-11-23 H. Cruz

In our work we construct a Hamiltonian, whose eigenstates approximate the solutions of the self-consistent Hartree-Fock equations for nonrelativistic atoms and ions. Its eigenvalues are given by completely algebraic expressions and the…

Quantum Physics · Physics 2025-06-18 N. Q. San , O. D. Skoromnik , V. V. Triguk , I. D. Feranchuk

A procedure to obtain single-electron wavefunctions within the tight-binding formalism is proposed. It is based on linear combinations of Slater-type orbitals whose screening coefficients are extracted from the optical matrix elements of…

Materials Science · Physics 2016-09-16 R. Benchamekh , F. Raouafi , J. Even , F. Ben Cheikh Larbi , P. Voisin , J. -M. Jancu

The density of an atom in a state of well-defined angular momentum has a specific finite spherical harmonic content, without and with interactions. Approximate single-particle schemes, such as the Hartree, Hartree-Fock, and Local Density…

Materials Science · Physics 2009-02-05 H. A. Fertig , W. Kohn

Exact many-body wave functions for quantum dots containing up to four interacting electrons are computed and we investigated the distribution of the wave function nodes, also called vortices. For this purpose, we evaluate the reduced wave…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. B. Tavernier , E. Anisimovas , F. M. Peeters

Here the recently proposed time-dependent quantum Monte Carlo method is applied to three dimensional para- and ortho-helium atoms subjected to an external electromagnetic field with amplitude sufficient to cause significant ionization. By…

Atomic Physics · Physics 2025-02-05 Ivan P. Christov

We present results of high-precision calculations for a boron atom's properties using wave functions expanded in the explicitly correlated Gaussian basis. We demonstrate that the well-optimized 8192 basis functions enable a determination of…

Atomic Physics · Physics 2016-01-20 Mariusz Puchalski , Jacek Komasa , Krzysztof Pachucki

We introduce one-center method in spherical coordinates to carry out Hartree-Fock calculations. Both the radial wave function and the angular wave function are expanded by B-splines, and the radial knots and angular knots are adjusted to…

Atomic Physics · Physics 2013-08-30 Shi-lin Hu , Zeng-xiu Zhao , Ting-yun Shi

The hydrogen molecules $H_2$ and $(H_2)_2$ are analyzed with electronic correlations taken into account between the $1s$ electrons exactly. The optimal single-particle Slater orbitals are evaluated in the correlated state of $H_2$ by…

Strongly Correlated Electrons · Physics 2015-02-03 Andrzej P. Kądzielawa , Agata Bielas , Marcello Acquarone , Andrzej Biborski , Maciej M. Maśka , Józef Spałek

Some general features of the spectrum of the Hartree-Fock-Bogoliubov equations are examined. Special attention is paid to the asymptotic behavior of the single quasiparticle wave functions (s.qp.w.fs.), matter density distribution and…

Nuclear Theory · Physics 2007-05-23 Aurel Bulgac

We consider a double dot system of equivalent, capacitively coupled semiconducting quantum dots, each coupled to its own lead, in a regime where there are two electrons on the double dot. Employing the numerical renormalization group, we…

Strongly Correlated Electrons · Physics 2007-05-23 Martin R. Galpin , David E. Logan , H. R. Krishnamurthy

Controlling single-particle wave functions in single semiconductor quantum dots is in demand to implement solid-state quantum information processing and spintronics. Normally, particle wave functions can be tuned transversely by an…

Mesoscale and Nanoscale Physics · Physics 2015-02-02 Shuo Cao , Jing Tang , Yunan Gao , Yue Sun , Kangsheng Qiu , Yanhui Zhao , Min He , Jin-An Shi , Lin Gu , David A. Williams , Weidong Sheng , Kuijuan Jin , Xiulai Xu