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Under the name prime decomposition (pd), a unique decomposition of an arbitrary $N$-dimensional density matrix $\rho$ into a sum of seperable density matrices with dimensions given by the coprime factors of $N$ is introduced. For a class of…

Quantum Physics · Physics 2011-07-19 D. Ellinas , E. G. Floratos

The space of polynomials in two real variables with values in a 2-dimensional irreducible module of a dihedral group is studied as a standard module for Dunkl operators. The one-parameter case is considered (omitting the two-parameter case…

Classical Analysis and ODEs · Mathematics 2014-04-16 Charles F. Dunkl

Underwater optical imaging is severely hindered by scattering, but polarization imaging offers the unique dual advantages of descattering and shape-from-polarization (SfP) 3D reconstruction. To exploit these advantages, this paper proposes…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Puyun Wang , Kaimin Yu , Huayang He , Feng Huang , Xianyu Wu , Yating Chen

The Davies-Fulling (DF) model describes the scattering of a massless field by a non-inertial mirror in two dimensions. In this paper, we generalize this model in two different ways. First, we consider partially reflecting mirrors. We show…

General Relativity and Quantum Cosmology · Physics 2009-11-07 N. Obadia , R. Parentani

Density-potential functional theory (DPFT) is an alternative formulation of orbital-free density functional theory that may be suitable for modeling the electronic structure of large systems. To date, DPFT has been applied mainly to quantum…

Materials Science · Physics 2023-04-21 Martin-Isbjörn Trappe , William C. Witt , Sergei Manzhos

It is shown that in polar geometry and normal incidence the 2x2 matrix technique - as discussed in detail in a preceeding paper [Phys. Rev. B 65, 144448 (2002)] - accounts correctly for multiple reflections and optical interferences, and…

Materials Science · Physics 2009-11-07 A. Vernes , L. Szunyogh , P. Weinberger

The polarization of $\Lambda_b$ baryon has been measured in ALEPH, OPAL and DELPHI experiments. A significant loss on the transfer of the $b$ quark polarization to the $\Lambda_b$ baryon polarization has been noticed. This implies that the…

High Energy Physics - Phenomenology · Physics 2011-01-25 Tsung-Wen Yeh

Double-pass polarimetry measures the polarization properties of a sample over a range of polar angles and all azimuths. Here, we present a tolerance analysis of all the optical elements in both the calibration and measurement procedures to…

Optics · Physics 2020-08-18 Yimin Yu , Nabila Baba-Ali , Gregg M Gallatin

It has been suggested that a colour-entanglement effect exists in the Drell-Yan cross section for the 'double T-odd' contributions at low transverse momentum $Q_T$, rendering the colour structure different from that predicted by the usual…

High Energy Physics - Phenomenology · Physics 2018-01-19 Daniël Boer , Tom van Daal , Jonathan R. Gaunt , Tomas Kasemets , Piet J. Mulders

Ferroelectricity in atomically thin bilayer structures has been recently predicted1 and measured[2-4] in two-dimensional (2D) materials with hexagonal non-centrosymmetric unit-cells. Interestingly, the crystal symmetry translates lateral…

With assumption that an optical element is described by a Mueller matrix of the Lorentzian type, a method to find a 3-dimensional complex vector parameter for a corresponding Mueller matrix from results of four specially chosen polarization…

Mathematical Physics · Physics 2012-01-30 E. M. Ovsiyuk

The Hapke model has been widely used to describe the photometrical behavior of planetary surface through the Bi-directional Reflectance Distribution Function (BRDF), but the uncertainties about retrieved parameters has been difficult to…

Earth and Planetary Astrophysics · Physics 2018-08-01 Frederic Schmidt , Sebastien Bourguignon

For a $2$-dimensional non-flat spray we associate a Berwald frame and a $3$-dimensional distribution that we call the Berwald distribution. The Frobenius integrability of the Berwald distribution characterises the Finsler metrizability of…

Differential Geometry · Mathematics 2018-02-15 Ioan Bucataru , Georgeta Creţu , Ebtsam H. Taha

We perform a new extraction for unpolarized and polarized parton distribution functions considering a flavor decompositions for sea quarks and applying very recent deep inelastic scattering (DIS) and semi inclusive deep inelastic scattering…

High Energy Physics - Phenomenology · Physics 2015-06-11 F. Arbabifar , Ali. N. Khorramian , H. Khanpour , S. Atashbar Tehrani

The scattering of multispectral incoherent light is a common and unfavorable signal scrambling in natural scenes. However, the blurred light spot due to scattering still holds lots of information remaining to be explored. Former methods…

Image and Video Processing · Electrical Eng. & Systems 2022-07-29 Yitong Li , Zhengbo Zhu , Ze Li , Donglin Ma

We investigate the problem of estimating a smooth invertible transformation f when observing independent samples X_1, ..., X_n ~ P \circ f, where P is a known measure. We focus on the two dimensional case where P and f are defined on R^2.…

Methodology · Statistics 2008-07-16 Ethan Anderes , Marc Coram

In this paper we obtain approximated numerical solutions for the 2D Helmholtz equation using a radial basis function-generated finite difference scheme (RBF-FD), where weights are calculated by applying an oscillatory radial basis function…

Numerical Analysis · Mathematics 2019-03-05 Mauricio A. Londoño-Arboleda. , Hebert Montegranario

Mechanical behaviors of bulk metallic glasses (BMGs) including heterogeneous and homogeneous deformation are interpreted by phenomenological shear transformation zones (STZs) model. Currently, information about STZs, i.e. size and density,…

Materials Science · Physics 2018-09-18 Yang Tong

The neural-network denoising functions which form the backbone of image diffusion models are remarkably consistent in their generalization behaviour across a wide variety of network architectures and training procedure hyperparameters. A…

Machine Learning · Computer Science 2026-05-26 Matthew Niedoba , Berend Zwartsenberg , Frank Wood

Advances in vectorial polarisation-resolved imaging are bringing new capabilities to applications ranging from fundamental physics through to clinical diagnosis. Imaging polarimetry requires determination of the Mueller matrix (MM) at every…