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相关论文: A flexible multi-reference perturbation theory by …

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The present paper introduces a new multi-reference perturbation approach developed at second order, based on a Jeziorsky-Mokhorst expansion using individual Slater determinants as perturbers. Thanks to this choice of perturbers, an…

化学物理 · 物理学 2017-06-28 Emmanuel Giner , Celestino Angeli , Yann Garniron , Anthony Scemama , Jean-Paul Malrieu

We present two efficient and intruder-free methods for treating dynamic correlation on top of general multi-configuration reference wave functions---including such as obtained by the density matrix renormalization group (DMRG) with large…

化学物理 · 物理学 2016-09-13 Sandeep Sharma , Gerald Knizia , Sheng Guo , Ali Alavi

We develop and test methods that include second and third-order perturbation theory (MP3) using orbitals obtained from regularized orbital-optimized second-order perturbation theory, $\kappa$-OOMP2, denoted as MP3:$\kappa$-OOMP2. Testing…

化学物理 · 物理学 2019-10-15 Luke W. Bertels , Joonho Lee , Martin Head-Gordon

We present an implementation and analysis of a stochastic high performance algorithm to calculate the correlation energy of three dimensional periodic systems in second-order M{\o}ller-Plesset perturbation theory (MP2). In particular we…

化学物理 · 物理学 2018-02-12 Tobias Schäfer , Benjamin Ramberger , Georg Kresse

We extend first-order multiconfigurational symmetry-adapted perturbation theory, SAPT(MC), [Hapka M. et al. JCTC, 2021, 17], to account for double-exchange effects, where up to two electron pairs are exchanged between interacting monomers.…

化学物理 · 物理学 2025-04-21 Dominik Cieśliński , Michał Przybytek , Grzegorz Chałasiński , Michał Hapka

We discuss the time-dependent formulation of perturbation theory in the context of the interacting zeroth-order Hamiltonians that appear in multi-reference situations. As an example, we present a time-dependent formulation and…

化学物理 · 物理学 2018-04-09 Alexander Yu. Sokolov , Garnet K. -L. Chan

We propose a multireference linearized coupled cluster theory using matrix product states (MPS-LCC) which provides remarkably accurate ground-state energies, at a computational cost that has the same scaling as multireference configuration…

化学物理 · 物理学 2015-09-02 Sandeep Sharma , Ali Alavi

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

A density-matrix formalism is developed based on the one-particle density-matrix of a single-determinantal reference-state. The v-representable problem does not appear in the proposed method, nor the need to introduce functionals defined by…

化学物理 · 物理学 2009-11-10 James P. Finley

A framework for developing new approximate electronic structure methods is presented, in which the correlation energy of a many-electron system in the ground state is computed as in the single-reference second-order many-body perturbation…

化学物理 · 物理学 2011-06-15 Dimitri Laikov

We develop an alternative formulation in the energy-domain to calculate the second order M{\o}ller-Plesset (MP2) perturbation energies. The approach is based on repeatedly choosing four random energies using a non-separable guiding…

化学物理 · 物理学 2013-10-22 Qinghui Ge , Yi Gao , Roi Baer , Eran Rabani , Daniel Neuhauser

Second-order Moller-Plesset perturbation theory (MP2) for ab initio simulations of solids is often limited by divergence or over-correlation issues, particularly in metallic, narrow-gap, and dispersion-stabilized systems. We develop and…

材料科学 · 物理学 2025-10-28 Meng-Fu Chen , Jinghong Zhang , Hieu Q. Dinh , Adam Rettig , Joonho Lee

We explore various ways to group orbitals into clusters in a matrix product state (MPS). We explain how a generic cluster MPS can often lead to an increase in computational cost and instead propose a special cluster structure, involving…

化学物理 · 物理学 2022-10-03 Henrik R. Larsson , Huanchen Zhai , Klaas Gunst , Garnet Kin-Lic Chan

Multi-configurational wave functions are known to describe electronic structure across a Born-Oppenheimer surface qualitatively correct. However, for quantitative reaction energies, dynamical correlation originating from the many…

化学物理 · 物理学 2020-04-16 Christopher J. Stein , Markus Reiher

Many-body perturbation theory (MBPT) based on Green's functions and Feynman diagrams provides a fundamental theoretical framework for various \emph{ab initio} computational approaches in molecular and materials science, including the random…

量子物理 · 物理学 2025-03-20 Yuqi Wang , Wei-Hai Fang , Zhendong Li

We present an approach to renormalized second-order Green's function perturbation theory (GF2) which avoids all dependency on continuous variables, grids or explicit Green's functions, and is instead formulated entirely in terms of static…

化学物理 · 物理学 2020-06-26 Oliver J. Backhouse , Max Nusspickel , George H. Booth

A partial-active-space (PAS) multi-state (MS) multi-reference second-order perturbation theory (MRPT2) for the electronic structure of strongly correlated systems of electrons, dubbed PASPT2, is formulated by linearizing the intermediate…

化学物理 · 物理学 2026-05-21 Chunzhang Liu , Ning Zhang , Wenjian Liu

The first well founded perturbation theory for classical solid systems is presented. Theoretical approaches to thermodynamic and structural properties of the hard-sphere solid provide us with the reference system. The traditional…

凝聚态物理 · 物理学 2009-10-28 C. Rascon , L. Mederos , G. Navascues

We present a low-complexity algorithm to calculate the correlation energy of periodic systems in second-order M\o ller-Plesset perturbation theory (MP2). In contrast to previous approximation-free MP2 codes, our implementation possesses a…

化学物理 · 物理学 2017-03-16 Tobias Schäfer , Benjamin Ramberger , Georg Kresse

Standard derivations of ``time-independent perturbation theory'' of quantum mechanics cannot be applied to the general case where potentials are energy dependent or where the inverse free Green function is a non-linear function of energy.…

高能物理 - 理论 · 物理学 2007-05-23 A. N. Kvinikhidze , B. Blankleider
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