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An equation of motion formalism for excited states in variational Monte Carlo is derived and a pilot implementation for the Jastrow-modified antisymmetric geminal power is tested. In single excitations across a range of small molecules,…

Strongly Correlated Electrons · Physics 2016-05-12 Luning Zhao , Eric Neuscamman

We present an extensive study of quadrupole-hexadecapole correlation effects in even-even Sm and Gd isotopes with neutron number $N=88-106$. The calculations are performed in the framework of the Gogny energy density functional (EDF) with…

Nuclear Theory · Physics 2025-02-10 L. Lotina , K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

The approximate computation of all gravitational forces between $N$ interacting particles via the fast multipole method (FMM) can be made as accurate as direct summation, but requires less than $\mathcal{O}(N)$ operations. FMM groups…

Instrumentation and Methods for Astrophysics · Physics 2014-05-12 Walter Dehnen

We present a new algorithm which is named the Dynamical Functional Particle Method, DFPM. It is based on the idea of formulating a finite dimensional damped dynamical system whose stationary points are the solution to the original…

Numerical Analysis · Mathematics 2013-03-25 Mårten Gulliksson , Sverker Edvardsson , Andreas Lind

A microscopic angular momentum projection after variation is used to describe quadrupole collectivity in (^{30,32,34}Mg) and (^{32,34,36,38}Si). The Hartree-Fock-Bogoliubov states obtained in the quadrupole constrained mean field approach…

Nuclear Theory · Physics 2009-11-06 R. Rodriguez-Guzman , J. L. Egido , L. M. Robledo

The coupled dynamics of the scissors mode and the isovector giant quadrupole resonance are studied using a generalized Wigner function moments method taking into account pair correlations. Equations of motion for angular momentum,…

Nuclear Theory · Physics 2009-11-13 E. B. Balbutsev , L. A. Malov , P. Schuck , M. Urban , X. Vinyes

In this paper, we study a conjugate gradient method for electronic structure calculations. We propose a Hessian based step size strategy, which together with three orthogonality approaches yields three algorithms for computing the ground…

Numerical Analysis · Mathematics 2017-08-30 Xiaoying Dai , Zhuang Liu , Liwei Zhang , Aihui Zhou

The collective excitation of nuclear matter is analyzed in a bosonized Landau Fermi liquid model. When the nonlinear self-interacting terms of scalar mesons are included in Walecka model, the collective excitation energy of nuclear matter…

Nuclear Theory · Physics 2020-10-02 Bao-Xi Sun

We consider a damped oscillator mode that is resonantly driven and is coupled to an arbitrary target system via the position quadrature operator. For such a composite open quantum system, we develop a numerical method to compute the reduced…

Quantum Physics · Physics 2024-07-02 Masaaki Tokieda

The Coupled Cluster (CC) method is used to compute the electronic correlation energy in atoms and molecules and often leads to highly accurate results. However, due to its single-reference nature, standard CC in its projected form fails to…

In this paper, a unified gas-kinetic scheme (UGKS) with simplified multi-scale numerical flux is proposed for the thermodynamic non-equilibrium flow simulation involving the excitation of molecular vibrational degrees of freedom in all flow…

Fluid Dynamics · Physics 2023-02-08 Rui Zhang , Sha Liu , Chengwen Zhong , Congshan Zhuo

In this paper, the unified gas-kinetic wave-particle (UGKWP) method is further developed for diatomic gas with the energy exchange between translational and rotational modes for flow study in all regimes. The multiscale transport mechanism…

Computational Physics · Physics 2021-07-07 Xiaocong Xu , Yipei Chen , Chang Liu , Zhihui Li , Kun Xu

We have measured the effect of dipole-dipole interactions on the frequency of a collective mode of a Bose-Einstein condensate. At relatively large numbers of atoms, the experimental measurements are in good agreement with zero temperature…

Quantum Gases · Physics 2015-05-19 G. Bismut , B. Pasquiou , E. Maréchal , P. Pedri , L. Vernac , O. Gorceix , B. Laburthe-Tolra

A new approach called the Schr\"odinger Collective Intrinsic Model (SCIM) has been developed to achieve a microscopic description of the coupling between collective and intrinsic excitations. The derivation of the SCIM proceeds in two…

Nuclear Theory · Physics 2015-05-28 Rémi Bernard , Heloise Goutte , Daniel Gogny , Walid Younes

A computer program is presented by which one may calculate the multiple electric dipole, electric quadrupole and magnetic dipole Coulomb excitation with relativistic heavy ions. The program applies to an arbitrary nucleus, specified by the…

Nuclear Experiment · Physics 2009-10-31 C. A. Bertulani

We introduce a symplectic dual quaternion variational integrator(DQVI) for simulating single rigid body motion in all six degrees of freedom. Dual quaternion is used to represent rigid body kinematics and one-step Lie group variational…

Computational Engineering, Finance, and Science · Computer Science 2018-03-14 Jiafeng Xu , Karl Henning Halse

In this work, we propose an effective finite-range Gogny-type interaction that can be directly used in the quantum molecular dynamics (QMD) like model. Two methods for determining the parameters of the effective interaction are discussed.…

Nuclear Theory · Physics 2025-04-22 Meiqi Sun , Dandan Niu , Junping Yang , Ying Cui , Zhuxia Li , Qiang Zhao , Kai Zhao , Yingxun Zhang

Density matrices evolved according the von Neumann equation are commonly used to simulate the dynamics of driven quantum systems. However, computational methods using density matrices are often too slow to explore the large parameter spaces…

Computational Physics · Physics 2022-02-02 Spenser Talkington , HongWen Jiang

We conduct a systematic investigation of the nuclear collective dynamics that emerges in systems with random two-body interactions. We explore the development of the mean field and study its geometry. We investigate multipole collectivities…

Nuclear Theory · Physics 2011-09-02 Volha Abramkina , Alexander Volya

We examine the global performance of an extended self-consistent mean field theory of 2+ excitations in even-even nuclei. 518 nuclei are included in our survey, comprising all but 39 of the known nuclei tabulated by Raman et al. The theory…

Nuclear Theory · Physics 2008-11-26 G. F. Bertsch , M. Girod , S. Hilaire , J. -P. Delaroche , H. Goutte , S. Pe'ru