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We present an accurate approximation of the full gravitational radiation waveforms generated in the merger of non-eccentric systems of two non-spinning black holes. Utilizing information from recent numerical relativity simulations and the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Alessandra Buonanno , Yi Pan , John G. Baker , Joan Centrella , Bernard J. Kelly , Sean T. McWilliams , James R. van Meter

We present high-precision quantum computing simulations of three-body atoms (He, H$^-$) and molecules (H$_2^+$, HD$^+$), the latter being studied beyond the Born-Oppenheimer approximation. The Non-Iterative Disentangled Unitary Coupled…

量子物理 · 物理学 2025-10-22 Mohammad Haidar , Hugo D. Nogueira , J. -Ph. Karr

Highly oscillatory differential equations present significant challenges in numerical treatments. The Modulated Fourier Expansion (MFE), used as an ansatz, is a commonly employed tool as a numerical approximation method. In this article,…

数值分析 · 数学 2024-07-17 Rafał Perczyński , Antoni Augustynowicz

To solve the many-boson Schr\"odinger equation we utilize the Multiconfigurational time-dependent Hartree method for bosons (MCTDHB). To be able to attack larger systems and/or to propagate the solution for longer times, we implement a…

量子气体 · 物理学 2011-04-19 Alexej I. Streltsov , Kaspar Sakmann , Ofir E. Alon , Lorenz S. Cederbaum

The oscillator bases expansion stands as an efficient approximation method for the time-independent Schr\"odinger equation. The method, originally formulated with one non-linear variational parameter, can be extended to incorporate two such…

量子物理 · 物理学 2024-09-24 Cyrille Chevalier , Selma Youcef Khodja

We study the tensor-optimized antisymmetrized molecular dynamics (TOAMD) as a successive variational method in many-body systems with strong interaction for nuclei. In TOAMD, the correlation functions for the tensor force and the…

核理论 · 物理学 2017-05-09 Takayuki Myo , Hiroshi Toki , Kiyomi Ikeda , Hisashi Horiuchi , Tadahiro Suhara

The multi-configurational self-consistent field theory is considered the standard starting point for almost all multireference approaches required for strongly-correlated molecular problems. The limitation of the approach is generally given…

化学物理 · 物理学 2015-10-14 Robert E. Thomas , Qiming Sun , Ali Alavi , George H. Booth

We extend and systematise the power counting for the three-body system, in the context of the ``pion-less'' Effective Field Theory approach, to all orders in the low-energy expansion. We show that a sub-leading part of the three-body force…

核理论 · 物理学 2009-11-07 Paulo F. Bedaque , Harald W. Griesshammer , H. -W. Hammer , Gautam Rupak

Leveraging matrix sparsity has proven a fruitful strategy for accelerating quantum chemical calculations. Here we present the hierarchical SOS-MP2 algorithm, which uses hierarchical matrix ($\mathcal{H}^{2}$) compression of the electron…

化学物理 · 物理学 2025-06-23 Hongji Gao , Xiangmin Jiao , Benjamin G. Levine

We calculate binding energies of four molecular solids using the Hartree-Fock (HF) and second-order M{\o}ller-Plesset perturbation theory (MP2). We obtain the energies within many-body expansion (MBE) as well as using periodic boundary…

化学物理 · 物理学 2022-08-15 J. Hofierka , J. Klimes

High-order accurate summation-by-parts (SBP) finite difference (FD) methods constitute efficient numerical methods for simulating large-scale hyperbolic wave propagation problems. Traditional SBP FD operators that approximate first-order…

数值分析 · 数学 2021-07-27 Kenneth Duru , Frederick Fung , Christopher Williams

The random phase approximation (RPA) has received a considerable interest in the field of modeling systems where noncovalent interactions are important. Its advantages over widely used density functional theory (DFT) approximations are the…

化学物理 · 物理学 2019-12-04 Marcin Modrzejewski , Sirous Yourdkhani , Jiri Klimes

We develop a novel cluster expansion for finite-spin lattice systems subject to multi-body quantum -- and, in particular, classical -- interactions. Our approach is based on the use of ``decoupling parameters", advocated by Park [34], which…

数学物理 · 物理学 2023-07-21 Nguyen Tong Xuan , Roberto Fernandez

The $\vartheta$-MGGA class of density functionals is formally reformulated as Hessian-level meta-generalized gradient approximations (HL-MGGAs). In contrast to standard meta-GGAs that rely on the orbital-dependent kinetic-energy density or…

化学物理 · 物理学 2026-04-09 Pooria Dabbaghi , Juan Maria García Lastra , Piotr de Silva

Energy spectroscopy is a powerful tool with diverse applications across various disciplines. The advent of programmable digital quantum simulators opens new possibilities for conducting spectroscopy on various models using a single device.…

We model Auger spectra using second-order M\o ller-Plesset perturbation (MP2) theory combined with complex-scaled basis functions. For this purpose, we decompose the complex MP2 energy of the core-hole state into contributions from specific…

We introduce an accurate and efficient algebraic technique for the computation of the vibrational spectra of triatomic molecules, of both linear and bent equilibrium geometry. The full three-dimensional potential energy surface (PES), which…

化学物理 · 物理学 2016-09-28 T. Sedivcova-Uhlikova , Hewa Y. Abdullah , Nicola Manini

We present an extension to the iterative Boltzmann inversion method to generate coarse-grained models with three-body intramolecular potentials that can reproduce correlations in structural distribution functions. The coarse-grained…

计算物理 · 物理学 2023-11-27 Jianlan Ye , Vipin Agrawal , Minghao Liu , Jing Hu , Jay Oswald

We present calculations of ground state properties of spherical, doubly closed-shell nuclei from $^{16}$O to $^{208}$Pb employing the techniques of many-body perturbation theory using a separable density dependent monopole interaction. The…

核理论 · 物理学 2009-11-06 P. Stevenson , M. R. Strayer , J. Rikovska Stone

This study proposes an extension of the high-order compact gas-kinetic scheme (CGKS) to compressible flow simulation in an arbitrary Lagrangian-Eulerian (ALE) formulation in unstructured mesh. The ALE method is achieved by subdividing…

计算物理 · 物理学 2024-01-05 Yue Zhang , Kun Xu