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We propose to study hadron-hadron scattering using lattice QCD in an asymmetric box which allows one to access more non-degenerate low-momentum modes for a given volume. The conventional L\"{u}scher's formula applicable in a symmetric box…

高能物理 - 格点 · 物理学 2008-11-26 C. Liu , Y. Shen , X. Li , G. Z. Meng , X. Feng , M. Gong , S. He , Y. Chen , G. Li , Y. B. Liu , X. F. Meng , J. P. Ma , J. B. Zhang

A version of the so-called "convexification" numerical method for a coefficient inverse scattering problem for the 3D Hemholtz equation is developed analytically and tested numerically. Backscattering data are used, which result from a…

数值分析 · 数学 2018-01-16 Michael V. Klibanov , Aleksandr E. Kolesov

Visual odometry and Simultaneous Localization And Mapping (SLAM) has been studied as one of the most important tasks in the areas of computer vision and robotics, to contribute to autonomous navigation and augmented reality systems. In case…

机器人学 · 计算机科学 2023-11-08 Seongwook Yoon , Jaehyun Kim , Sanghoon Sull

In spite of their importance for understanding phonon transport phenomena in thin films and polycrystalline solids, the effects of boundary roughness scattering on phonon specularity and coherence are poorly understood because there is no…

介观与纳米尺度物理 · 物理学 2020-05-08 Zhun-Yong Ong , Georg Schusteritsch , Chris J. Pickard

We compute the sphaleron rate on the lattice. We adopt a novel strategy based on the extraction of the spectral density via a modified version of the Backus-Gilbert method from finite-lattice-spacing and finite-smoothing-radius Euclidean…

高能物理 - 格点 · 物理学 2023-12-27 Claudio Bonanno , Francesco D'Angelo , Massimo D'Elia , Lorenzo Maio , Manuel Naviglio

We present a method for estimating the maximal symmetry of a continuous regression function. Knowledge of such a symmetry can be used to significantly improve modelling by removing the modes of variation resulting from the symmetries.…

统计方法学 · 统计学 2023-12-21 Louis G. Christie , John A. D. Aston

High-harmonic generation in solids has emerged as a powerful probe of ultrafast electron dynamics and lattice motion, and recent theoretical work has suggested that thermally driven lattice fluctuations can act as an effective source of…

This paper is concerned with the cavity scattering problem in an infinite thin plate, where the out-of-plane displacement is governed by the two-dimensional biharmonic wave equation. Based on an operator splitting, the scattering problem is…

数值分析 · 数学 2023-01-25 Heping Dong , Peijun Li

For an fcc crystal with central force interactions and separately for a scalar model on a square lattice, we compute exactly the phonon transmission coefficient $T(\omega)$ through a disordered planar interface between two identical semi -…

凝聚态物理 · 物理学 2009-10-31 G. Fagas , A. G. Kozorezov , C. J. Lambert , J. K. Wigmore

Hadronic spectral densities are important quantities whose non-perturbative knowledge allows for calculating phenomenologically relevant observables, such as inclusive hadronic cross-sections and non-leptonic decay-rates. The extraction of…

高能物理 - 格点 · 物理学 2019-06-05 Martin Hansen , Alessandro Lupo , Nazario Tantalo

The generation of high-order harmonics in diatomic molecules is investigated within the framework of the strong-field approximation. We show that the conventional saddle-point approximation is not suitable for large internuclear distances.…

原子物理 · 物理学 2009-11-11 Ciprian C. Chirila , Manfred Lein

For coupled-channel resonance scattering we derive a model with a closed form solution for the $T$-matrix that satisfies unitarity and analyticity. The two-channel case is handled explicitly for an arbitrary number of resonances. The method…

核理论 · 物理学 2009-11-07 N. E. Ligterink

The spectral Matthiessen's rule is commonly used to calculate the total phonon scattering rate when multiple scattering mechanisms exist. Here we predict the spectral phonon relaxation time $\tau$ of defective bulk silicon using normal mode…

材料科学 · 物理学 2015-12-25 Tianli Feng , Bo Qiu , Xiulin Ruan

A semi-implicit Lax-Wendroff kinetic scheme is developed for hydrodynamic phonon transport in solid materials based on the Boltzmann transport equation under the double relaxation time approximation, in which both the normal and resistive…

计算物理 · 物理学 2026-01-30 Shijie Li , Hong Liang , Songze Chen , Chuang Zhang

Scattering resonances arise in wave phenomena and play an important role in many applications. While extensive theoretical studies have been conducted, effective numerical computation remains limited, and most existing methods suffer from…

数值分析 · 数学 2026-04-17 Bo Gong , Jiguang Sun

Several new developments in the calculation and interpretation of hadron density-density correlation functions are presented. The asymptotic behavior of correlation functions is determined from a tree diagram path integral. A method is…

高能物理 - 格点 · 物理学 2009-09-25 J. W. Negele , M. Burkardt , J. M. Grandy

Within a formulation of $\pi\pi$ scattering, we investigate the use of the finite-volume Hamiltonian approach to resolving scattering observables from lattice QCD spectra. We consider spectra in the centre-of-mass and moving frames for both…

高能物理 - 格点 · 物理学 2016-06-22 Jia-Jun Wu , T. -S. Harry Lee , Derek B. Leinweber , A. W. Thomas , Ross D. Young

We calculate the lattice dielectric function of strongly anharmonic rutile $\mathrm{TiO}_2$ from ab initio anharmonic lattice dynamics methods. Since an accurate calculation of the $\Gamma$ point phonons is essential for determining optical…

材料科学 · 物理学 2023-03-24 Tomohito Amano , Tamio Yamazaki , Ryosuke Akashi , Terumasa Tadano , Shinji Tsuneyuki

We present an iterative root finding method for harmonic mappings in the complex plane, which is a generalization of Newton's method for analytic functions. The complex formulation of the method allows an analysis in a complex variables…

复变函数 · 数学 2020-10-26 Olivier Sète , Jan Zur

For problems of time-harmonic scattering by polygonal obstacles, embedding formulae provide a useful means of computing the far-field coefficient induced by any incident plane wave, given the far-field coefficient of a relatively small set…

数值分析 · 数学 2018-05-24 Andrew Gibbs , Stephen Langdon , Andrea Moiola