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This article is devoted to the study of spectral optimisation for inhomogeneous plates. In particular, we optimise the first eigenvalue of a vibrating plate with respect to its thickness and/or density. Our result is threefold. First, we…

Analysis of PDEs · Mathematics 2021-07-26 Elisa Davoli , Idriss Mazari , Ulisse Stefanelli

In this paper, we define several types of maximal operators on sequence spaces occuring in Harmonic analysis and present various connections between them.

Functional Analysis · Mathematics 2022-10-17 Sri Sakti Swarup Anupindi , Michael Alphonse

We develop a framework for multiscale analysis of elliptic operators with high-contrast random coefficients. For a general class of such operators, we provide a detailed spectral analysis of the corresponding homogenised limit operator.…

Analysis of PDEs · Mathematics 2024-10-17 Mikhail Cherdantsev , Kirill Cherednichenko , Igor Velčić

A method is described to solve the nonlinear Langevin equations arising from quadratic interactions in quantum mechanics. While, the zeroth order linearization approximation to the operators is normally used, here first and second order…

Quantum Physics · Physics 2017-12-06 Sina Khorasani

Diffusion trajectory distillation accelerates sampling by training a student model to approximate the multi-step denoising trajectories of a pretrained teacher model using far fewer steps. Despite strong empirical results, the trade-off…

Machine Learning · Computer Science 2026-04-28 Weiguo Gao , Ming Li

In this paper, I review the experimental situation for both glueballs and hybrid mesons. Theoretical expectations are discussed, and a survey of what is known about hybrid mesons and glueballs is undertaken. Good experimental evidence…

High Energy Physics - Experiment · Physics 2009-11-10 Curtis A. Meyer

A system of two static quarks, at fixed distances r, and two light quarks is studied on an anisotropic lattice. Excitations by operators emphasizing quark or gluon degrees of freedom are examined. The maximum entropy method is applied in…

High Energy Physics - Lattice · Physics 2012-08-27 LHPCollaboration , : , H. R. Fiebig

In this talk we present some recent studies of multiquark components in the charmonium sector. We study the possible existence of compact four quark-states and meson-meson molecules in the charmonium spectroscopy.

High Energy Physics - Phenomenology · Physics 2015-05-18 A. Valcarce , J. Vijande , T. Fernandez-Carames

A system of two static quarks, at fixed distances r, and two light quarks is studied on an anisotropic lattice. Excitations by operators emphasizing quark or gluon degrees of freedom are examined. The maximum entropy method is applied in…

High Energy Physics - Lattice · Physics 2007-05-23 LHPC , H. Rudolf Fiebig

Many applications in computational physics that use numerical integrators based on splitting and composition can benefit from the development of optimized algorithms and from choosing the best ordering of terms. The cost in programming and…

Computational Physics · Physics 2022-03-14 Robert I McLachlan

We study meson-meson interactions using an extended $q^2\bar{q}^2(g)$ basis that allows calculating coupling of an ordinary meson-meson system to a hybrid-hybrid one. We use a potential model matrix in this extended basis which at quark…

High Energy Physics - Phenomenology · Physics 2015-03-18 Nosheen Akbar , Bilal Masud

For addressing optimisation tasks on finite dimensional quantum systems, we give a comprehensive account of the foundations of gradient flows on Riemannian manifolds including new developments: we extend former results from Lie groups such…

Quantum Physics · Physics 2010-12-07 T. Schulte-Herbrueggen , S. J. Glaser , G. Dirr , U. Helmke

We present the first study of the charmonium spectrum using overlap fermions, on quenched configurations. Simulations are performed on $16^3 \times 72$ lattices, with Wilson gauge action at $\beta$ = 6.3345. We demonstrate that we have…

High Energy Physics - Lattice · Physics 2008-11-26 S. Tamhankar , A. Alexandru , Y. Chen , S. J. Dong , T. Draper , I. Horvath , F. X. Lee , K. F. Liu , N. Mathur , J. B. Zhang

Charmed meson charmonium spectra are studied with improved quark actions on anisotropic lattices. We measured the pseudo-scalar and vector meson dispersion relations for 4 lowest lattice momentum modes with quark mass values ranging from…

High Energy Physics - Lattice · Physics 2009-11-11 Liuming Liu , Shiquan Su , Xin Li , Chuan Liu

The aim in this note is to define an algorithm to carry out minimal curvature spherical harmonics interpolation, which is then used to calculate the Laplacian for multi-electrode EEG data analysis. The approach taken is to respect the data.…

Medical Physics · Physics 2007-05-23 Giulio Ruffini , Josep Marco , Carles Grau

Density operators are one of the key ingredients of quantum theory. They can be constructed in two ways: via a convex sum of `doubled kets' (i.e. mixing), and by tracing out part of a `doubled' two-system ket (i.e. dilation). Both…

Quantum Physics · Physics 2017-04-10 Maaike Zwart , Bob Coecke

For a given conformal field theory (CFT), one can deform it via the addition of a marginal operator to the spectrum. In two dimensions, when the added operator has conformal weights $h=\bar{h}=1$, conformal symmetry is not broken and the…

High Energy Physics - Theory · Physics 2025-11-27 Michael Imseis , Sruthi A. Narayanan , A. W. Peet

We study the algebra of differential operators on non-compact simply connected harmonic manifolds and provide sufficient conditions for them to have a radial fundamental solution and be surjective on the space of smooth function.…

Differential Geometry · Mathematics 2024-01-19 Oliver Brammen

We simulate Quantum Chromodynamics in four Euclidean dimensions with two (degenerate mass) flavors of dynamical quarks. The Dirac operator is the so-called chirally improved operator that has been studied so far in quenched calculations. We…

High Energy Physics - Lattice · Physics 2007-05-23 C. B. Lang , Pushan Majumdar , Wolfgang Ortner

Maximally entangled bipartite unitary operators or gates find various applications from quantum information to being building blocks of minimal models of many-body quantum chaos, and have been referred to as "dual unitaries". Dual unitary…

Quantum Physics · Physics 2020-08-19 Suhail Ahmad Rather , S. Aravinda , Arul Lakshminarayan
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