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We employ the time-dependent Hartree-Fock (TDHF) method to study various aspects of the reactions utilized in searches for superheavy elements. These include capture cross-sections, quasifission, prediction of $P_{\mathrm{CN}}$, and other…

Nuclear Theory · Physics 2016-04-12 A. S. Umar , V. E. Oberacker

Spin-projected Hartree-Fock is introduced as a particle-hole excitation ansatz over a symmetry-adapted reference determinant. Remarkably, this expansion has an analytic expression that we were able to decipher. While the form of the…

Strongly Correlated Electrons · Physics 2016-11-08 Yiheng Qiu , Thomas M. Henderson , Gustavo E. Scuseria

In this work, we extend the x-ray constrained wavefunction fitting approach, a key method in quantum crystallography for charge density reconstruction, to incorporate experimental observables beyond x-ray diffraction. Unlike traditional…

Quantum Physics · Physics 2024-10-31 Stasis Chuchurka , Milaim Kas , Andrei Benediktovitch , Nina Rohringer

We propose a new mean-field-type framework which can treat the strong correlation induced by the tensor force. To treat the tensor correlation we break the charge and parity symmetries of a single-particle state and restore these symmetries…

Nuclear Theory · Physics 2009-11-10 Satoru Sugimoto , Kiyomi Ikeda , Hiroshi Toki

The density matrix expansion is used to derive a local energy density functional for finite range interactions with a realistic meson exchange structure. Exchange contributions are treated in a local momentum approximation. A generalized…

Nuclear Theory · Physics 2008-11-26 F. Hofmann , H. Lenske

This paper is concerned with the well-posedness analysis of the Hartree-Fock system modeling the time evolution of a quantum system comprised of fermions. We consider quantum states with finite mass and finite kinetic energy, and the…

Mathematical Physics · Physics 2007-05-23 A. Arnold , R. Bosi , S. Jeschke , E. Zorn

Although many programs have been published for fully numerical Hartree--Fock (HF) or density functional (DF) calculations on atoms, we are not aware of any that support hybrid DFs, which are popular within the quantum chemistry community…

Chemical Physics · Physics 2019-08-19 Susi Lehtola

The time-dependent Hartree-Fock (TDHF) method is an approach to simulate the mean field dynamics of electrons within the assumption that the electrons move independently in their self-consistent average field and within the space of single…

Quantum Physics · Physics 2023-09-06 Sahil Gulania , Stephen K. Gray , Yuri Alexeev , Bo Peng , Niranjan Govind

Theoretical approaches to the photoionization of few-electron atoms are discussed. These include nonequilibrium Greens functions and wave function based approaches. In particular, the Multiconfiguration Time-Dependent Hartree-Fock method is…

Atomic Physics · Physics 2015-05-14 M. Bonitz , D. Hochstuhl , S. Bauch , K. Balzer

A multi-configuration mixing approach built on essentially complex, symmetry-projected Hartree-Fock-Bogoliubov (HFB) mean fields is introduced. The mean fields are obtained by variation after projection. The configuration space consists out…

Nuclear Theory · Physics 2009-10-28 E. Bender , K. W. Schmid , Amand~Faessler

Fractional-spin errors are inherent in all current approximate density functionals, including Hartree-Fock theory, and their origin has been related to strong static correlation effects. The conventional way to encode fractional-spin…

We explore certain properties of the Hartree-Fock approximation to the ground state of the two-dimensional Hubbard model, emphasizing the fact that in the Hartree approach there is an enormous multiplicity of self-consistent solutions which…

Strongly Correlated Electrons · Physics 2022-06-15 Kazue Matsuyama , Jeff Greensite

This article examines the time-dependent Hartree-Fock (TDHF) approximation of single-particle dynamics in systems of interacting fermions. We find the TDHF approximation to be accurate when there are sufficiently many particles and the…

Mathematical Physics · Physics 2007-05-23 Claude Bardos , Francois Golse , Alex D. Gottlieb , Norbert J. Mauser

The ground-state magnetic phase diagram is calculated within the Hubbard and $s$-$d$ exchange (Kondo) models for square and simple cubic lattices vs. band filling and interaction parameter. The difference of the results owing to the…

Strongly Correlated Electrons · Physics 2017-07-11 P. A. Igoshev , M. A. Timirgazin , A. K. Arzhnikov , T. V. Antipin , V. Yu. Irkhin

While the no-core shell model is a state-of-the-art microscopic approach to low-energy nuclear structure, its intense computational requirements lead us to consider time-honored approximations such as the Hartree-Fock (HF) approximation and…

Nuclear Theory · Physics 2007-05-23 Calvin W. Johnson , Ionel Stetcu

Methods based on propagation of the one-body reduced density-matrix hold much promise for the simulation of correlated many-electron dynamics far from equilibrium, but difficulties with finding good approximations for the interaction term…

Chemical Physics · Physics 2016-02-12 Peter Elliott , Neepa T. Maitra

We report on numerical studies into the interplay of disorder and electron-electron interactions within the integer quantum Hall regime, where the presence of a strong magnetic field and two-dimensional confinement of the electronic system…

Mesoscale and Nanoscale Physics · Physics 2008-01-23 R. A. Römer , C. Sohrmann

We study the predictions of three mean-field theoretical approaches in the description of the ground state properties of some spherical nuclei far from the stability line. We compare binding energies, single particle spectra, density…

Nuclear Theory · Physics 2015-06-04 G. Co' , V. De Donno , P. Finelli , M. Grasso , M. Anguiano , A. M. Lallena , C. Giusti , A. Meucci , F. D. Pacati

We present a computationally efficient framework for predicting the excited-state properties of thermally activated delayed fluorescence (TADF) emitters, integrating extended tight-binding (\xtb), simplified Tamm-Dancoff approximation…

We show that the spin-and-space unrestricted Hartree-Fock method, in conjunction with the companion step of the restoration of spin and space symmetries via Projection Techniques (when such symmetries are broken), is able to describe the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Constantine Yannouleas , Uzi Landman