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This work provides a computationally efficient and statistically consistent moment-based estimator for mixtures of spherical Gaussians. Under the condition that component means are in general position, a simple spectral decomposition…

Machine Learning · Computer Science 2012-10-30 Daniel Hsu , Sham M. Kakade

Based on a re-formulation of the classical explanation of quantum mechanical Gaussian dispersion (Groessing et al. 2010) as well as interference of two Gaussians (Groessing et al. 2012), we present a new and more practical way of their…

Quantum Physics · Physics 2013-04-11 Johannes Mesa Pascasio , Siegfried Fussy , Herbert Schwabl , Gerhard Groessing

We present a scalable implementation of the $GW$ approximation using Gaussian atomic orbitals to study the valence and core ionization spectroscopies of molecules. The implementation of the standard spectral decomposition approach to the…

Chemical Physics · Physics 2021-12-06 Daniel Mejia-Rodriguez , Alexander Kunitsa , Edoardo Aprà , Niranjan Govind

We seek to complement Nelson's work on the two-slit experiment by showing that the two-slit process, whose density exhibits the characteristic interference pattern, may be obtained as the model after the beam has reached the screen by means…

Quantum Physics · Physics 2009-11-10 Michele Pavon

Graphical modeling explores dependences among a collection of variables by inferring a graph that encodes pairwise conditional independences. For jointly Gaussian variables, this translates into detecting the support of the precision…

Methodology · Statistics 2018-02-16 Shota Katayama , Hironori Fujisawa , Mathias Drton

Gamow shell model (GSM) is usually performed within the Woods-Saxon (WS) basis in which the WS parameters need to be determined by fitting experimental single-particle energies including their resonance widths. In the multi-shell case, such…

Nuclear Theory · Physics 2020-01-16 B. S. Hu , Q. Wu , J. G. Li , Y. Z. Ma , Z. H. Sun , N. Michel , F. R. Xu

Stochastic geometry (SG) has been successfully used as a modelling tool for cellular networks to characterize the coverage probability in both the downlink (DL) and uplink (UL) systems, under the assumption that the base stations (BS) are…

Networking and Internet Architecture · Computer Science 2021-09-30 Hamed Nassar , Gehad Taher , El-Sayed El-Hady

Gamma-ray bursts are a complex, non-linear system that evolves very rapidly through stages of vastly different conditions. They evolve from scales of few hundred kilometers where they are very dense and hot to cold and tenuous on scales of…

High Energy Astrophysical Phenomena · Physics 2015-04-10 Davide Lazzati , Brian J. Morsony , Diego López-Cámara

We study the gravitational radiation produced by the collisions of bubble walls or thin fluid shells in cosmological phase transitions. Using the so-called envelope approximation, we obtain analytically the asymptotic behavior of the…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-05 Ariel Megevand , Agustin Membiela

Active targets such as ACTAR TPC are well suited for studying giant resonances in unstable nuclei via inelastic scattering in inverse kinematics. A key challenge in such measurements is the detection of low-energy ejectiles emitted at small…

Data Analysis, Statistics and Probability · Physics 2025-12-19 A. Arokiaraj , M. B. Latif , R. Raabe , D. Thisse , M. Vandebrouck

Inspired by the concept of coherent frozen waves, this paper introduces one possible theoretical framework of its partially coherent version, a frozen spatial coherence, in which a desired two-point correlation structure of an optical field…

Optics · Physics 2022-06-22 M. A. Pinto , P. A. Brandão

We develop the paraxial approximation for electromagnetic fields in arbitrary isotropy-broken media in terms of the ray-wave tilt and the curvature of materials Fresnel wave surfaces. We obtain solutions of the paraxial equation in the form…

Optics · Physics 2024-10-15 Maxim Durach

Molecular collisions can be studied at very low relative kinetic energies, in the milliKelvin range, by merging codirectional beams with much higher translational energies, extending even to the kiloKelvin range, provided that the beam…

Chemical Physics · Physics 2015-06-05 Qi Wei , Igor Lyuksyutov , Dudley Herschbach

A new method to calculate level densities for non-interacting Fermions within the constant-spacing model with a finite number of states is developed. We show that asymptotically (for large numbers of particles or holes) the densities have…

Nuclear Theory · Physics 2013-01-08 Adriana Pálffy , Hans A. Weidenmüller

3D Gaussian Splatting (3DGS) has recently emerged as a powerful representation of geometry and appearance for dense Simultaneous Localization and Mapping (SLAM). Through rapid, differentiable rasterization of 3D Gaussians, many 3DGS SLAM…

Robotics · Computer Science 2025-03-25 Xulang Liu , Ning Tan

Identical two-particle interferometry provides a scenario where interference and exchange effects manifest at once. We present a detailed calculation of the detection patterns in the two-particle two-slit experiment by extending Feynman's…

Quantum Physics · Physics 2014-03-05 Pedro Sancho

We consider all bursts with known redshift and $\nu F_\nu$ peak energy, $E^{obs}_{peak}$. For a good fraction of them an estimate of the jet opening angle is available from the achromatic break of their afterglow light curve. This allows…

Astrophysics · Physics 2009-11-10 G. Ghirlanda , G. Ghisellini , D. Lazzati

We investigate experimentally fundamental properties of coherent ghost imaging using spatially incoherent beams generated from a pseudo-thermal source. A complementarity between the coherence of the beams and the correlation between them is…

Quantum Physics · Physics 2007-05-23 A. Gatti , M. Bache , D. Magatti , E. Brambilla , F. Ferri , L. A. Lugiato

Discrete Element Methods (DEM) are a useful tool to model the fracture of cohesive granular materials. For this kind of application, simple particle shapes (discs in 2D, spheres in 3D) are usually employed. However, dealing with more…

Soft Condensed Matter · Physics 2016-07-07 A Neveu , R Artoni , P Richard , Y Descantes

Gaussian beams describe the amplitude and phase of rays and are widely used to model acoustic propagation. This paper describes four new results in the theory of Gaussian beams. (1) A new version of the \v{C}erven\'y equations for the…

Mathematical Physics · Physics 2018-04-12 Steven Thomas Smith