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We introduce a new method for deriving the time-dependent Hartree or Hartree-Fock equations as an effective mean-field dynamics from the microscopic Schroedinger equation for fermionic many-particle systems in quantum mechanics. The method…

数学物理 · 物理学 2016-11-29 Sören Petrat , Peter Pickl

In this work, we derive the time-dependent Hartree(-Fock) equations as an effective dynamics for fermionic many-particle systems. Our main results are the first for a quantum mechanical mean-field dynamics for fermions; in previous works,…

数学物理 · 物理学 2014-05-23 Sören Petrat

These lecture notes are addressed to PhD student and/or researchers who want a general overview of microscopic approaches based on mean-field and applied to nuclear dynamics. Our goal is to provide a good description of low energy heavy-ion…

核理论 · 物理学 2009-04-20 Cédric Simenel , Benoît Avez , Denis Lacroix

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…

核理论 · 物理学 2007-05-23 Suk-Joon Lee

Background: Time-dependent techniques in nuclear theory often rely on mean-field or Hartree-Fock descriptions. Beyond mean-field dynamical calculations within the time-dependent density matrix (TDDM) theory have often invoked symmetry…

核理论 · 物理学 2021-06-09 M. C. Barton , P. D. Stevenson , A. Rios

The time-dependent Hartree-Fock equations are derived from the N-particle Schr\"odinger equation with mean-field scaling in the infinite particle limit, for initial data that are like Slater determinants. Only the case of bounded…

数学物理 · 物理学 2015-02-25 Claude Bardos , Francois Golse , Alex D. Gottlieb , Norbert J. Mauser

A new relativistic Hartree-Fock approach with density-dependent $\sigma$, $\omega$, $\rho$ and $\pi$ meson-nucleon couplings for finite nuclei and nuclear matter is presented. Good description for finite nuclei and nuclear matter is…

核理论 · 物理学 2009-11-11 WenHui Long , Nguyen Van Giai , Jie Meng

The exchange part of energy density of the linear Dirac--Hartree--Fock (DHF) model in symmetric nuclear matter is evaluated in a parameter--free closed form and expressed as density functional. After the rearranging terms the relativistic…

核理论 · 物理学 2021-04-27 S. Gmuca , K. Petrik , J. Leja

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…

核理论 · 物理学 2015-06-04 G. Co' , V. De Donno , P. Finelli , M. Grasso , M. Anguiano , A. M. Lallena , C. Giusti , A. Meucci , F. D. Pacati

Semi-realistic nucleon-nucleon interactions applicable to the self-consistent mean-field (both Hartree-Fock and Hartree-Fock-Bogolyubov) calculations are developed, by modifying the M3Y interaction. The modification is made so as to…

核理论 · 物理学 2014-11-18 H. Nakada

In the stochastic mean-field approach, an ensemble of initial conditions is considered to incorporate correlations beyond the mean-field. Then each starting pont is propagated separately using the Time-Dependent Hartree-Fock equation of…

核理论 · 物理学 2015-06-11 Denis Lacroix , Sakir Ayik , Bulent Yilmaz , Kouhei Washiyama

A fully covariant approach to a density dependent hadron field theory is presented. The relation between in--medium NN interactions and field--theoretical meson--nucleon vertices is discussed. The medium dependence of nuclear interactions…

核理论 · 物理学 2008-11-26 C. Fuchs , H. Lenske

The time independent mean field method (TIMF) for scattering defines biorthonormal sets of single-particle wave functions and corresponding creation and annihilation operators. 2p - 2h correlations can be introduced through a generalized…

核理论 · 物理学 2009-10-31 J. C. Lemm , B. G. Giraud , A. Weiguny

There is no microscopic quantum approach based on the many-body time-dependent Schr\"{o}dinger equation which capable to describe the formation and the evolution of a compound nucleus. The most advanced microscopic approach developed so far…

核理论 · 物理学 2026-05-04 Matthew Kafker , Aurel Bulgac

A set of relativistic mean field models is constructed including the Hartree and Hartree-Fock approximation accounting for the exchange of isoscalar and isovector mesons as well as the pion. Density dependent coupling functions are…

核理论 · 物理学 2011-09-02 E. N. E. van Dalen , H. Müther

{Full three dimensional static and dynamic mean field calculations using collocation basis splines with a Skyrme type Hamiltonian are described. This program is developed to address the difficult theoretical challenges offered by exotic…

核理论 · 物理学 2009-09-25 C. R. Chinn , A. S. Umar , M. Vallières , M. R. Strayer

Background: Nuclear fission is a complex large-amplitude collective decay mode in heavy nuclei. Microscopic density functional studies of fission have previously concentrated on adiabatic approaches based on constrained static calculations…

核理论 · 物理学 2015-11-18 P. M. Goddard , P. D. Stevenson , A. Rios

Information on dissipation in the entrance channel of heavy-ion collisions is extracted by macroscopic reduction procedure of Time-Dependent Hartree-Fock theory. The method gives access to a fully microscopic description of the friction…

核理论 · 物理学 2009-03-04 Kouhei Washiyama , Denis Lacroix , Sakir Ayik

Rotation-induced time-odd components in the nuclear mean field are analyzed using the Hartree-Fock cranking approach with effective interactions SIII, SkM*, and SkP. Identical dynamical moments ${{\cal J}^{(2)}}$ are obtained for pairs of…

核理论 · 物理学 2016-09-08 J. Dobaczewski , J. Dudek

Time-dependent Hartree--Fock (TDHF) method has been applied to various low-energy nuclear reactions, such as fusion, fission, and multinucleon transfer reactions. In this Mini Review, we summarize recent attempts to bridge a microscopic…

核理论 · 物理学 2020-03-16 Kouhei Washiyama , Kazuyuki Sekizawa
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