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相关论文: Multiple solutions of CCD equations for PPP model …

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Multiple (real) solutions of the CC equations (corresponding to the CCD, ACP and ACPQ methods) are studied for the PPP model of [10]annulene, C_{10}H_{10}. The long-range electrostatic interactions are represented either by the…

化学物理 · 物理学 2009-11-07 R. Podeszwa , L. Z. Stolarczyk

We study a simple model system for the conjugated $\pi$-bonds in benzene, the Pariser-Parr-Pople (PPP) model, within the parquet approximation (PA), exemplifying the prospects of the PA for molecules. Advantages of the PA are the polynomial…

强关联电子 · 物理学 2019-03-14 Petra Pudleiner , Patrik Thunström , Angelo Valli , Anna Kauch , Gang Li , Karsten Held

We discuss diagrammatic modifications to the coupled cluster doubles (CCD) equations, wherein different groups of terms out of rings, ladders, crossed-rings and mosaics can be removed to form approximations to the coupled cluster method, of…

化学物理 · 物理学 2014-05-06 James J. Shepherd , Thomas. M. Henderson , Gustavo E. Scuseria

We investigate the cyclic polyenes (annulenes) C_{M}H_{M}, described by the Pariser--Parr--Pople (PPP) model, by means of the approximate coupled-pair theories (ACP, ACPQ). For the systems with the spectroscopic value of the PPP resonance…

化学物理 · 物理学 2009-11-07 R. Podeszwa

In light of the recent discrepancies reported between fixed node diffusion Monte Carlo and local natural orbital coupled cluster with single, double and perturbative triples (CCSD(T)) methodologies for non-covalent interactions in large…

化学物理 · 物理学 2024-11-22 S. Lambie , D. Kats , D. Usyvat , A. Alavi

We reveal limitations of several standard coupled-cluster (CC) methods with perturbation-theorybased noniterative or approximate iterative treatments of triple excitations when applied to thedetermination of highly accurate potential energy…

化学物理 · 物理学 2021-10-04 Jan Schnabel , Lan Cheng , Andreas Köhn

The direct ring coupled-cluster doubles (drCCD)-based random phase approximation (RPA) has provided an attractive framework for the development and application of RPA-related methods. However, a potential unphysical solution issue recently…

化学物理 · 物理学 2025-08-18 Ruiheng Song , Xiliang Gong , Hong-Zhou Ye

A dynamical model of the dielectric screening of conjugated polymers is introduced and solved using the density matrix renormalization group method. The model consists of a line of quantized dipoles interacting with a polymer chain. The…

强关联电子 · 物理学 2009-11-10 William Barford , Robert Bursill , David Yaron

In this work, we study a system of coupled Cahn-Hilliard equations describing the phase separation of a copolymer and a homopolymer blend. The numerical methods we propose are based on suitable combinations of existing schemes for the…

数值分析 · 数学 2021-04-07 Mattia Martini , Giacomo Enrico Sodini

We present an extension of the pair coupled cluster doubles (p-CCD) method to quasiparticles and apply it to the attractive pairing Hamiltonian. Near the transition point where number symmetry gets spontaneously broken, the proposed…

The accurate prediction of ionization potentials (IPs) is central to understanding molecular reactivity, redox behavior, and spectroscopic properties. While vertical IPs can be accessed directly from electronic excitations at fixed nuclear…

化学物理 · 物理学 2026-05-20 Marios-Petros Kitsaras , Johannes Tölle , Pierre-François Loos

The Pariser-Parr-Pople Hamiltonian is used to calculate and identify the nature of the low-lying vertical transition energies of polydiacetylene. The model is solved using the density matrix renormalisation group method for a fixed…

凝聚态物理 · 物理学 2009-11-07 Alan Race , W. Barford , Robert J. Bursill

In the present paper, we study the defocusing complex short pulse (CSP) equations both geometrically and algebraically. From the geometric point of view, we establish a link of the complex coupled dispersionless (CCD) system with the motion…

可精确求解与可积系统 · 物理学 2016-10-20 Bao-Feng Feng , Ken-ichi Maruno , Yasuhiro Ohta

We introduce a range-separation approximation to coupled cluster doubles (CCD) theory that successfully overcomes limitations of regular CCD when applied to the uniform electron gas. We combine the short-range ladder channel with the…

化学物理 · 物理学 2014-05-07 James J. Shepherd , Thomas M. Henderson , Gustavo E. Scuseria

The Closed Cluster method (CC method) is applied to find solutions for various calculation problems of the energy band structure of graphene. The essence of the CC method consists in the addition of closing bonds between edge atoms to the…

介观与纳米尺度物理 · 物理学 2015-08-25 Ilja I. Taljanskij

We investigate the convergence of coupled-cluster correlation energies and related quantities with respect to the employed basis set size for the uniform electron gas to gain a better understanding of the basis set incompleteness error. To…

材料科学 · 物理学 2024-02-27 Nikolaos Masios , Felix Hummel , Andreas Grüneis , Andreas Irmler

Model Hamiltonians offer a cost-effective way to capture the key physics of large $\pi$-conjugated systems. In this work, we combine the Pariser--Parr--Pople (PPP) model Hamiltonian with pair Coupled Cluster Doubles (pCCD)-based methods to…

化学物理 · 物理学 2025-08-27 Zahra Karimi , Somayeh Ahmadkhani , Katharina Boguslawski , Paweł Tecmer

A relativistic version of the coupled-cluster single-double (CCSD) method is developed for atoms with a single valence electron. In earlier work, a linearized version of the CCSD method (with extensions to include a dominant class of triple…

原子物理 · 物理学 2009-11-13 Rupsi Pal , M. S. Safronova , W. R. Johnson , Andrei Derevianko , Sergey G. Porsev

The double ionization potential (DIP) equation-of-motion (EOM) coupled-cluster (CC) method with a full treatment of 4-hole-2-particle (4$h$-2$p$) correlations and triply excited clusters, abbreviated as DIP-EOMCCSDT(4$h$-2$p$), and its…

化学物理 · 物理学 2025-02-12 Karthik Gururangan , Achintya Kumar Dutta , Piotr Piecuch

An integral equation method is presented for the 1D steady-state Poisson-Nernst-Planck equations modeling ion transport through membrane channels. The differential equations are recast as integral equations using Green's 3rd identity…

数值分析 · 数学 2023-04-11 Zhen Chao , Weihua Geng , Robert Krasny
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