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The multi-layer multi-configurational time-dependent Hartree (MCTDH) in optimized second quantization representation (oSQR) approach combines the tensor contraction scheme of the multi-layer MCTDH approach with the use of an optimized…

化学物理 · 物理学 2020-02-19 Thomas Weike , Uwe Manthe

A matrix product state formulation of the multiconfiguration time-dependent Hartree (MPS-MCTDH) theory is presented. The Hilbert space that is spanned by the direct products of the phonon degree of freedoms, which is linearly parameterized…

化学物理 · 物理学 2018-11-26 Yuki Kurashige

We present a time-dependent framework that combines a hybrid Gaussian-FEDVR basis with a multicenter grid to simulate strong-field and attosecond dynamics in atoms and molecules. The method incorporates the construction of the orthonormal…

原子物理 · 物理学 2025-11-17 Kyle A. Hamer , Heman Gharibnejad , Luca Argenti , Nicolas Douguet

Computing excited states of many-body quantum Hamiltonians is a fundamental challenge in computational physics and chemistry, with state-of-the-art methods broadly classified into variational (critical point search) and linear response…

化学物理 · 物理学 2026-02-27 Laura Grazioli , Yukuan Hu , Eric Cancès

Analytical Hartree-Fock gradients with respect to the cell parameter have been implemented in the electronic structure code CRYSTAL, for the case of one and two-dimensional periodicity. As in most molecular codes, Gaussian type orbitals are…

计算物理 · 物理学 2007-05-23 K. Doll , R. Dovesi , R. Orlando

Recently, the size-dependence of high-order harmonic generation (HHG) in quantum dots has been investigated experimentally. In particular, for longer driving wavelengths and QDs smaller than 3\,nm, HHG was strongly suppressed, however,…

光学 · 物理学 2026-03-05 Martin Thümmler , Alexander Croy , Ulf Peschel , Stefanie Gräfe

Accurate and fast treatment of electron-electron interactions remains a central challenge in electronic structure theory because post-Hartree-Fock methods often suffered from the computational cost for 4-index electron repulsion integrals…

化学物理 · 物理学 2025-12-05 Yueyang Zhang , Xuewei Xiong , Wei Wu , Peifeng Su

We describe the new version 2.00d of the code HFBTHO that solves the nuclear Skyrme Hartree-Fock (HF) or Skyrme Hartree-Fock-Bogolyubov (HFB) problem by using the cylindrical transformed deformed harmonic-oscillator basis. In the new…

核理论 · 物理学 2013-03-19 M. V. Stoitsov , N. Schunck , M. Kortelainen , N. Michel , H. Nam , E. Olsen , J. Sarich , S. Wild

We introduce an individually fitted screened-exchange interaction for the time-dependent Hartree-Fock (TDHF) method and show that it resolves the missing binding energies in polymethine organic dye molecules compared to time-dependent…

化学物理 · 物理学 2024-06-21 Nadine C. Bradbury , Barry Y. Li , Tucker Allen , Justin R. Caram , Daniel Neuhauser

We present a density matrix approach for computing global solutions of Hartree-Fock theory, based on semidefinite programming (SDP), that gives upper and lower bounds on the Hartree-Fock energy of quantum systems. Equality of the upper- and…

化学物理 · 物理学 2014-02-11 Srikant Veeraraghavan , David A. Mazziotti

The $4d \to 3p$ x-ray transitions in Cu- and Ni-like tungsten ions have been studied theoretically. The multiconfiguration Dirac-Hartree-Fock (MCDHF) method and the large-scale relativistic configuration-interaction (CI) method have been…

原子物理 · 物理学 2024-05-16 Karol Kozioł , Jacek Rzadkiewicz

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…

核理论 · 物理学 2009-10-28 E. Bender , K. W. Schmid , Amand~Faessler

We present here a review of the fundamental topics of Hartree-Fock theory in Quantum Chemistry. From the molecular Hamiltonian, using and discussing the Born-Oppenheimer approximation, we arrive to the Hartree and Hartree-Fock equations for…

化学物理 · 物理学 2008-11-25 Pablo Echenique , J. L. Alonso

We derive a multiconfigurational time-dependent Hartree theory for systems with particle conversion. In such systems particles of one kind can convert to another kind and the total number of particles varies in time. The theory thus extends…

量子物理 · 物理学 2009-02-07 Ofir E. Alon , Alexej I. Streltsov , Lorenz S. Cederbaum

A practical electronic structure method in which a two-body functional is the fundamental variable is constructed. The basic formalism of our method is equivalent to Hartree-Fock density matrix functional theory [M. Levy in {\it Density…

其他凝聚态物理 · 物理学 2008-04-23 Balazs Hetenyi , Andreas W. Hauser

We present a purely numerical approach in Cartesian grid, for efficient computation of Hartree-Fock (HF) exchange contribution in the HF and density functional theory models. This takes inspiration from a recently developed algorithm [Liu…

化学物理 · 物理学 2019-04-05 Abhisek Ghosal , Tanmay Mandal , Amlan K. Roy

This work establishes the time-dependent relativistic Hartree-Fock (TD-RHF) model with spherical symmetry for the first time. The time-dependent integro-differential Dirac equations are solved by expanding Dirac spinors on the spherical…

核理论 · 物理学 2024-06-13 Jing Geng , Zhi Heng Wang , Peng Wei Zhao , Yi Fei Niu , Haozhao Liang , Wen Hui Long

The nuclear time-dependent Hartree-Fock model formulated in the three-dimensional space,based on the full Skyrme energy density functional and complemented with the tensor force,is presented for the first time. Full self-consistency is…

核理论 · 物理学 2015-03-03 S. Fracasso , E. B. Suckling , P. D. Stevenson

We present derivation and implementation of the Multi-Configurational Strong-Field Approximation with Gaussian nuclear Wave Packets (MC-SFA-GWP) -- a version of the molecular strong-field approximation which treats all electronic and…

化学物理 · 物理学 2017-11-10 Serguei Patchkovskii , Michael S. Schuurman

A recent interpretation of the caloric curve based on the expansion of the abraded spectator nucleus is re-analysed in the framework of the Time-Dependent Hartree-Fock (TDHF) evolution. It is shown that the TDHF dynamics is more complex…

核理论 · 物理学 2016-09-08 D. Lacroix , Ph. Chomaz