Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

JPS Hot Topics

Implementation of Nuclear Many-Body Wave Functions via Superpositions of Localized Gaussians

Published Jan 1, 2025• 0 citations
Publisher

Abstract

An extended version of antisymmetrized molecular dynamics integrated with a mean-field model is proposed, and its potential is demonstrated.
DOI
10.7566/jpsht.5.002

Related papers

Many-Body Correlations in Light Nuclei with the Tensor-Optimized Antisymmetrized Molecular Dynamics

Takayuki Myo

Springer eBooks•Jan 1, 2023•0 citations

Tensor-optimized antisymmetrized molecular dynamics in nuclear physics: Table 1.

Takayuki Myo, Hiroshi Toki, Kiyomi Ikeda +2 more

We develop a new formalism to treat nuclear many-body systems using the bare nucleon–nucleon interaction. It has become evident that the tensor interaction plays an important role in nuclear many-body systems due to the role of the pion in strongly interacting systems. We take the antisymmetrized molecular dynamics (AMD) as a basic framework and add a tensor correlation operator acting on the AMD wave function using the concept of the tensor-optimized shell model. We demonstrate a systematical and straightforward formulation utilizing the Gaussian integration and differentiation method and the antisymmetrization technique to calculate all the matrix elements of the many-body Hamiltonian. We can include the three-body interaction naturally and calculate the matrix elements systematically in the progressive order of the tensor correlation operator. We call the new formalism “tensor-optimized antisymmetrized molecular dynamics”.

arXiv:1511.07224•Progress of Theoretical and Experimental Physics•Jul 1, 2015•39 citations

Many-Body Correlations in Light Nuclei with the Tensor-Optimized Antisymmetrized Molecular Dynamics

Takayuki Myo

Springer eBooks•Jan 1, 2022•0 citations

Liquid-gas phase transition in finite nuclei within Fermionic Molecular Dynamics

Hans Feldmeier, Jürgen Schnack

Within Fermionic Molecular Dynamics (FMD) a quantal nuclear system with only 16 nucleons shows a clearly visible liquid-gas phase transition. The FMD model is an approximation to the many-body problem which describes the system by antisymmetrized many-body states in which each nucleon is occupying a Gaussian shaped time-dependent wave-packet. The statistical ensemble is obtained by time averaging.

arXiv:nucl-th/9806007•Jun 2, 1998•0 citations

Boundary conditions for star matter and other periodic fermionic systems

Francesca Gulminelli, T. Furuta, Olivier Juillet +1 more

Bulk fermionic matter, as can be notably found in supernova matter and neutrons stars, is subject to correlations of infinite range due to the antisymmetrization of the $N$-body wave function, which cannot be explicitly accounted for in a practical simulation. This problem is usually addressed in condensed matter physics by means of the so-called twist averaged boundary condition method. A different ansatz based on the localized Wannier representation has been proposed in the context of antisymmetrized molecular dynamics. In this paper we work out the formal relation between the two approaches. We show that, while the two coincide when working with exact eigenstates of the $N$-body Hamiltonian, differences appear in the case of variational approaches, which are currently used for the description of stellar matter. Some model applications with fermionic molecular dynamics are shown.

arXiv:1110.0290•Physical Review C•Dec 21, 2011•6 citations

Toward scalable many-body calculations for nuclear open quantum systems using the Gamow Shell Model

N. Michel, Hasan Metin Aktulga, Y. Jaganathen

arXiv:1911.06494•Computer Physics Communications•Oct 9, 2019•27 citations
We develop a new formalism to treat nuclear many-body systems using the bare nucleon–nucleon interaction. It has become evident that the tensor interaction plays an important role in nuclear many-body systems due to the role of the pion in strongly interacting systems. We take the antisymmetrized molecular dynamics (AMD) as a basic framework and add a tensor correlation operator acting on the AMD wave function using the concept of the tensor-optimized shell model. We demonstrate a systematical and straightforward formulation utilizing the Gaussian integration and differentiation method and the antisymmetrization technique to calculate all the matrix elements of the many-body Hamiltonian. We can include the three-body interaction naturally and calculate the matrix elements systematically in the progressive order of the tensor correlation operator. We call the new formalism “tensor-optimized antisymmetrized molecular dynamics”.
Bulk fermionic matter, as can be notably found in supernova matter and neutrons stars, is subject to correlations of infinite range due to the antisymmetrization of the NNN-body wave function, which cannot be explicitly accounted for in a practical simulation. This problem is usually addressed in condensed matter physics by means of the so-called twist averaged boundary condition method. A different ansatz based on the localized Wannier representation has been proposed in the context of antisymmetrized molecular dynamics. In this paper we work out the formal relation between the two approaches. We show that, while the two coincide when working with exact eigenstates of the NNN-body Hamiltonian, differences appear in the case of variational approaches, which are currently used for the description of stellar matter. Some model applications with fermionic molecular dynamics are shown.