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We compute the electromagnetic mass differences of mesons containing a single heavy quark in terms of measurable data using QCD-based arguments in heavy-quark effective theory. We derive an unsubtracted dispersion relation that shows that…

High Energy Physics - Phenomenology · Physics 2016-09-01 Markus A. Luty , Raman Sundrum

In this note, we discuss the effective mass of quasiparticles in finite sized $\nu = 1/2$ systems in the lowest Landau level, given a natural notion we have of the Fermi surface in these finite sized systems. The effective mass is related…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 A. Raghav Chari , F. D. M. Haldane

In this paper, we propose a gauge-invariant way to define and calculate the effective mass for quasiparticles in systems with gauge interactions, and apply it to a model closely related to the half-filled Landau level problem. Our model is…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 A. Raghav Chari , F. D. M. Haldane , Kun Yang

Stencil composition uses the idea of function composition, wherein two stencils with arbitrary orders of derivative are composed to obtain a stencil with a derivative order equal to sum of the orders of the composing stencils. In this…

Numerical Analysis · Mathematics 2023-08-17 Abhishek Mishra , David Salac , Matthew G. Knepley

The contributions to heavy meson mass differences by the strong hyperfine interaction, the light quark masses and the electromagnetic interaction are obtained from the empirical values of the $D$, $D^*$, $B$ and $B^*$ masses by means of a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jose L. Goity , Chandana P. Jayalath

We demonstrate that the finite difference grid method (FDM) can be simply modified to satisfy the variational principle and enable calculations of both real and complex poles of the scattering matrix. These complex poles are known as…

Computational Physics · Physics 2021-08-17 Roie Dann , Guy Elbaz , Jonathan Berkheim , Alan Muhafra , Omri Nitecki , Daniel Wilczynski , Nimrod Moiseyev

A method is presented to calculate from first principles the higher-order elastic constants of a solid material. The method relies on finite strain deformations, a density functional theory approach to calculate the Cauchy stress tensor,…

Materials Science · Physics 2025-10-08 Ruvini Attanayake , Umesh C. Roy , Abhiyan Pandit , Angelo Bongiorno

The knowledge of effective masses is a key ingredient to analyze numerous properties of semiconductors, like carrier mobilities, (magneto-)transport properties, or band extrema characteristics yielding carrier densities and density of…

We develop a fully discrete scheme for time-fractional diffusion equations by using a finite difference method in time and a finite element method in space. The fractional derivatives are used in Caputo sense. Stability and error estimates…

Analysis of PDEs · Mathematics 2019-08-05 Moulay Rchid Sidi Ammi , Ismail Jamiai , Delfim F. M. Torres

Based on quantum hadrodynamics with a finite cutoff, the effective masses of vector mesons(\omega, \rho) in nuclear medium are calculated. We use a low-energy effective Lagrangian which is obtained by integrating high-energy quantum…

Nuclear Theory · Physics 2009-10-31 K. Sakamoto , M. Nakai , H. Kouno , A. Hasegawa , M. Nakano

We describe a short, reproducible workflow for applying finite differences on nonuniform grids determined by a positive weight function g. The grid is obtained by equidistribution, mapping uniform computational coordinates $\xi\in[0,1]$ to…

Numerical Analysis · Mathematics 2025-08-06 Mário B. Amaro

We use structural information from diffusion Monte Carlo calculations for two--dimensional 3He to calculate the effective mass. Static effective interactions are constructed from the density-- and spin structure functions using sumrules. We…

Statistical Mechanics · Physics 2009-11-10 J. Boronat , J. Casulleras , V. Grau , E. Krotscheck , J. Springer

In this contribution we study the accuracy of various forms of electron effective mass equation in reproducing spectral and spin-related features of quantum dot systems. We compare the results of the standard 8 band k.p model to those…

Mesoscale and Nanoscale Physics · Physics 2019-05-07 A. Mielnik-Pyszczorski , K. Gawarecki , P. Machnikowski

In our work we focus on the accurate computation of light propagation in finite size photonic crystal structures with the finite element method (FEM). We discuss how we utilize numerical concepts like high-order finite elements, transparent…

Optics · Physics 2015-05-13 Jan Pomplun , Lin Zschiedrich , Roland Klose , Frank Schmidt , Sven Burger

We use the infinite volume reconstruction method to calculate the charged/neutral pion mass difference. The hadronic tensor is calculated on lattice QCD and then combined with an analytic photon propagator, and the mass splitting is…

High Energy Physics - Lattice · Physics 2022-02-23 Xu Feng , Luchang Jin , Michael Joseph Riberdy

We define a new finite element method for a steady state elliptic problem with discontinuous diffusion coefficients where the meshes are not aligned with the interface. We prove optimal error estimates in the $L^2$ norm and $H^1$ weighted…

Numerical Analysis · Mathematics 2016-10-18 Johnny Guzman , Manuel A. Sanchez , Marcus Sarkis

Electrons interact strongly with their environment. The result of these interactions is, most of the time, encoded in an effective mass. In non-relativistic systems, as in condensed matter, the electrons plus interactions form a…

Strongly Correlated Electrons · Physics 2021-06-16 Heron Caldas

We discuss the methodology of quantum Monte Carlo calculations of the effective mass based on the static self energy, $\Sigma(k,0)$. We then use variational Monte Carlo calculations of $\Sigma(k,0)$ of the homogeneous electron gas at…

Strongly Correlated Electrons · Physics 2023-05-04 Markus Holzmann , Francesco Calcavecchia , David M. Ceperley , Valerio Olevano

We study a fully discrete finite element method for variable-order time-fractional diffusion equations with a time-dependent variable order. Optimal convergence estimates are proved with the first-order accuracy in time (and second order…

Numerical Analysis · Mathematics 2019-05-15 Xiangcheng Zheng , Fanhai Zeng , Hong Wang

The classic method for mass determination in a SUSY-like cascade decay chain relies on measurements of the kinematic endpoints in the invariant mass distributions of suitable collections of visible decay products. However, the procedure is…

High Energy Physics - Phenomenology · Physics 2016-03-23 Doojin Kim , Konstantin T. Matchev , Myeonghun Park
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