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The generator coordinate (GC) method is a variational approach to the quantum many-body problem in which interacting many-body wave functions are constructed as superpositions of (generally nonorthogonal) eigenstates of auxiliary…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. Orestes , K. Capelle , A. B. F. da Silva , C. A. Ullrich

We present a mechanism to efficiently pre-select the number of intrinsic many-body states that are used to define the many-body wave functions within the discrete Generator Coordinate Method (GCM). This procedure, based on the proper…

Nuclear Theory · Physics 2022-11-23 Jaime Martínez-Larraz , Tomás R. Rodríguez

Testing a covariance matrix following a Gaussian graphical model (GGM) is considered in this paper based on observations made at a set of distributed sensors grouped into clusters. Ordered transmissions are proposed to achieve the same…

Signal Processing · Electrical Eng. & Systems 2019-10-23 Yicheng Chen , Rick S. Blum , Brian M. Sadler , Jiangfan Zhang

In this work, we propose variations of a Gaussian mixture model (GMM) based channel estimator that was recently proven to be asymptotically optimal in the minimum mean square error (MMSE) sense. We account for the need of low computational…

Information Theory · Computer Science 2023-06-06 Benedikt Fesl , Michael Joham , Sha Hu , Michael Koller , Nurettin Turan , Wolfgang Utschick

In nuclear fusion and fission, fluctuation and dissipation arise due to the coupling of collective degrees of freedom with internal excitations. Close to the barrier, both quantum, statistical and non-Markovian effects are expected to be…

Nuclear Theory · Physics 2010-04-06 G. Hupin , D. Lacroix

With the quantum diffusion approach the behavior of capture cross sections and mean-square angular momenta of captured systems are revealed in the reactions with deformed and spherical nuclei at sub-barrier energies. With decreasing…

Nuclear Theory · Physics 2017-03-22 V. V. Sargsyan , R. A. Kuzyakin , G. G. Adamian , N. V. Antonenko , W. Scheid , H. Q. Zhang

Pairing correlations play an important role in a variety of nuclear phenomena. However, a quantitative understanding of proton--neutron $(pn)$ pairing, especially isoscalar $pn$ pairing $(S=1, T=0)$ remains elusive. To clarify the property…

Nuclear Theory · Physics 2024-05-31 K. Uzawa , N. Hinohara , T. Nakatsukasa

Mammography is the most commonly used imaging modality for breast cancer screening, driving an increasing demand for deep-learning techniques to support large-scale analysis. However, the development of accurate and robust methods is often…

Image and Video Processing · Electrical Eng. & Systems 2025-07-28 Xin Li , Kaixiang Yang , Qiang Li , Zhiwei Wang

We develop and test efficient approximations to estimate ground state correlations associated with low- and zero-energy modes. The scheme is an extension of the generator-coordinate-method (GCM) within Gaussian overlap approximation (GOA).…

Nuclear Theory · Physics 2009-11-07 K. Hagino , P. -G. Reinhard , G. F. Bertsch

A cross section deficit phenomenon has been observed in $^{12}$C+$^{12}$C fusion reactions at astrophysical energies, at which fusion cross sections are suppressed in the off-resonance regions as compared to fusion cross sections for the…

Nuclear Theory · Physics 2025-04-03 K. Hagino

A theory is developed and applied to the study of opportunities and specific features of coherent control of four-wave mixing as well as of the accompanying processes in the continuous-wave regime, which involve transitions between bound…

Quantum Physics · Physics 2007-05-23 V. V. Kimberg , A. K. Popov , Thomas F. George

Mapping the chemical reaction pathways and their corresponding activation barriers is a significant challenge in molecular simulation. Given the inherent complexities of 3D atomic geometries, even generating an initial guess of these paths…

Computational Physics · Physics 2025-01-24 Akihide Hayashi , So Takamoto , Ju Li , Yuta Tsuboi , Daisuke Okanohara

Driven by the demands of high-frequency wireless communications in 5G and 6G systems (e.g., mmWave, sub-THz), we explore a state-dependent {\em Gaussian beam-pointing} (GBP) channel. In this model, the channel state defines an unknown angle…

Information Theory · Computer Science 2025-08-29 Siyao Li , Shuangyang Li , Giuseppe Caire

Existing data on near-barrier fusion excitation functions of medium and heavy nucleus-nucleus systems have been analyzed using a simple diffused barrier formula derived assuming the Gaussian shape of the barrier height distributions. Fusion…

Nuclear Theory · Physics 2014-12-30 Debasis Atta , D. N. Basu

In this paper, three multiscale methods for coupling of mesoscopic (compartment-based) and microscopic (molecular-based) stochastic reaction-diffusion simulations are investigated. Two of the three methods that will be discussed in detail…

Subcellular Processes · Quantitative Biology 2013-04-30 Mark B Flegg , Stefan Hellander , Radek Erban

We perform a systematic study of capture excitation functions by using an empirical coupled-channel model. In this model, a barrier distribution is used to take effectively into account the effects of couplings between the relative motion…

Nuclear Theory · Physics 2017-01-31 Bing Wang , Kai Wen , Wei-Juan Zhao , En-Guang Zhao , Shan-Gui Zhou

Transition states (TSs) are crucial for understanding reaction mechanisms, yet their exploration is limited by the complexity of experimental and computational approaches. Here we propose TS-DFM, a flow matching framework that predicts TSs…

Machine Learning · Computer Science 2025-11-24 Yufei Luo , Xiang Gu , Jian Sun

Molecular conformation generation, a critical aspect of computational chemistry, involves producing the three-dimensional conformer geometry for a given molecule. Generating molecular conformation via diffusion requires learning to reverse…

Computational Physics · Physics 2023-10-10 Zihan Zhou , Ruiying Liu , Chaolong Ying , Ruimao Zhang , Tianshu Yu

We investigate truncation schemes to reduce the computational cost of calculating correlations by the generator coordinate method based on mean-field wave functions. As our test nuclei, we take examples for which accurate calculations are…

Nuclear Theory · Physics 2009-11-10 M. Bender , G. Bertsch , P. -H. Heenen

The efficient simulation of fluid-structure interactions at zero Reynolds number requires the use of fast summation techniques in order to rapidly compute the long-ranged hydrodynamic interactions between the structures. One approach for…

Fluid Dynamics · Physics 2024-03-05 Hang Su , Eric E Keaveny