Search results for "LYN"

showing 10 items of 910 documents

Laguerre Matrix-Collocation Method to Solve Systems of Pantograph Type Delay Differential Equations

2020

In this study, an improved matrix method based on collocation points is developed to obtain the approximate solutions of systems of high-order pantograph type delay differential equations with variable coefficients. These kinds of systems described by the existence of linear functional argument play a critical role in defining many different phenomena and particularly, arise in industrial applications and in studies based on biology, economy, electrodynamics, physics and chemistry. The technique we have used reduces the mentioned delay system solution with the initial conditions to the solution of a matrix equation with the unknown Laguerre coefficients. Thereby, the approximate solution is…

PhysicsMatrix (mathematics)CollocationLinear formCollocation methodLaguerre polynomialsApplied mathematicsDelay differential equationVariable (mathematics)Matrix method
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Stability analysis of an electromagnetically levitated sphere

2006

We present a combined numerical and analytical approach to analyze the static and dynamic stabilities of an electromagnetically levitated spherical body depending on the ac frequency and the configuration of a three-dimensional (3D) coil made of thin winding which is modeled by linear current filaments. First, we calculate numerically the magnetic vector potential in grid points on the surface of the sphere and then use Legendre and fast Fourier transforms to find the expansion of the magnetic field in terms of spherical harmonics. Second, we employ a previously developed gauge transformation to solve analytically the 3D electromagnetic problem in terms of the numerically obtained expansion…

PhysicsMechanical equilibriumMathematical analysisGeneral Physics and AstronomySpherical harmonicsMagnetostaticsDisplacement (vector)law.inventionClassical mechanicslawMagnetic potentialLegendre polynomialsEigenvalues and eigenvectorsStiffness matrixJournal of Applied Physics
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Experimental study of $\eta$ meson photoproduction reaction at MAMI

2015

New data for the differential cross sections, polarization observables $T$, $F$, and $E$ in the reaction of $\eta$ photoproduction on proton from the threshold up to a center-of-mass energy of W=1.9 GeV are presented. The data were obtained with the Crystal-Ball/TAPS detector setup at the Glasgow tagged photon facility of the Mainz Microtron MAMI. The polarization measurements were made using a frozen-spin butanol target and circularly polarized photon beam. The results are compared to existing experimental data and different PWA predictions. The data solve a long-standing problem related the angular dependence of older $T$ data close to threshold. The unexpected relative phase motion betwe…

PhysicsMesonPartial wave analysisPhysicsQC1-999Resonance (particle physics)High Energy Physics - ExperimentNuclear physicsAssociated Legendre polynomialsHigh Energy Physics::ExperimentNucleonNuclear ExperimentLegendre polynomialsMicrotronNuclear ExperimentCrystal Ball
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Nonlinear inverse bremsstrahlung and highly anisotropic electron distributions

1996

A procedure is proposed to deal with the approximate solution of the kinetic equation for the velocity distribution function of electrons in a fully ionized plasma in the presence of strong, high frequency radiation. The Legendre polynomial expansion is applied after the kinetic equation has been written in an oscillating frame, where some directions are appropriately scaled, with the aim of making approximately isotropic, on the average, distributions that are otherwise anisotropic. The equations are derived for the isotropic part of the electron distribution in the scaled frame and for the scaling factor. The procedure is meant to display its potential in cases where the electron distribu…

PhysicsNonlinear systemClassical mechanicsDistribution functionField (physics)IsotropyBremsstrahlungElectronAnisotropyLegendre polynomialsComputational physicsPhysical Review E
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Nonlinear SDE Excited by External Lévy White Noise Processes

2011

A numerical method for approximating the statistics of the solution of nonlinear stochastic systems excited by Gaussian and non-Gaussian external white noises is proposed. The differential equation governing the evolution in time of the characteristic function is resolved by the convolution quadrature method. This approach is especially suited for those problems in which the nonlinear drift term is not of polynomial form. In such cases the equation governing the evolution in time of the characteristic function is not a partial differential equation. Statistics are found by introducing an integral operator of Wiener-Hopf type, called the transformation operator, and applying the Lubich's con…

PhysicsNonlinear systemConvolution quadrature: Lévy white noiseStochastic differential equationExcited stateQuantum electrodynamicsNon-polynomial drift.White noiseSettore ICAR/08 - Scienza Delle CostruzioniGeneralized fractional calculuProceedings of the 6th International Conference on Computational Stochastic Mechanics(CSM-6)
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Multipole strength inC12from the (e,e’α) reaction for momentum transfers up to 0.61fm−1

1995

We have excited the giant resonance region in $^{12}\mathrm{C}$ via inelastic electron scattering, and have measured the first complete angular correlations for charged particle emission for this reaction for four values of momentum transfer ranging from 0.24 ${\mathrm{fm}}^{\mathrm{\ensuremath{-}}1}$ to 0.61 ${\mathrm{fm}}^{\mathrm{\ensuremath{-}}1}$. By analyzing the \ensuremath{\alpha}-emission channels via the Legendre and resonance formalisms, we unambiguously determined the multipole contributions to the total cross section for \ensuremath{\alpha} emission to the ground state of $^{8}\mathrm{Be}$, and have set limits on these contributions for \ensuremath{\alpha} emission to the first…

PhysicsNuclear and High Energy PhysicsGiant resonanceExcited stateMomentum transferInelastic scatteringBorn approximationAtomic physicsGround stateMultipole expansionLegendre polynomialsPhysical Review C
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Search for theZ(4430)−atBABAR

2009

We report the results of a search for Z(4430)^- decay to J/Ψ π^- or Ψ(2S)π^- in B(^-.0)→ J/Ψ π^-K^(0.+) and B^(-.0) → Ψ(2S)π^-K^(0.+) decays. The data were collected with the BABAR detector at the SLAC PEP-II asymmetric-energy e^+e^- collider operating at center-of-mass energy 10.58 GeV, and the sample corresponds to an integrated luminosity of 413 fb^(-1). Each K π^- mass distribution exhibits clear K^*(892) and K_2^*(1430) signals, and the efficiency-corrected spectrum is well described by a superposition of the associated Breit-Wigner intensity distributions, together with an S-wave contribution obtained from the LASS I=1/2 K π^- scattering amplitude measurements. Each K π^- angular dist…

PhysicsNuclear and High Energy PhysicsParticle physicsMass distribution010308 nuclear & particles physicsElectron–positron annihilation01 natural scienceslaw.inventionLuminosityNuclear physicsScattering amplitudeReflection (mathematics)law0103 physical sciencesZ(4430)010306 general physicsColliderLegendre polynomialsPhysical Review D
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B meson decay constants f B c $$ {f}_{B_c} $$ , f B s $$ {f}_{B_s} $$ and f B from QCD sum rules

2014

Finite energy QCD sum rules with Legendre polynomial integration kernels are used to determine the heavy meson decay constant f B c $$ {f}_{B_c} $$ , and revisit f B and f B s $$ {f}_{B_s} $$ . Results exhibit excellent stability in a wide range of values of the integration radius in the complex squared energy plane, and of the order of the Legendre polynomial. Results are f B c $$ {f}_{B_c} $$ = 528 ± 19 MeV, f B = 186 ± 14 MeV, and f B s $$ {f}_{B_s} $$ = 222 ± 12 MeV.

PhysicsParticle physicsQCD sum rulesNuclear and High Energy PhysicsMesonHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyOrder (ring theory)RadiusHigh Energy Physics::ExperimentB mesonExponential decayNuclear ExperimentLegendre polynomialsEnergy (signal processing)Journal of High Energy Physics
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Efficient generation of N-photon binomial states and their use in quantum gates in cavity QED

2010

A high-fidelity scheme to generate N-photon generalized binomial states (NGBSs) in a single-mode high-Q cavity is proposed. A method to construct superpositions of exact orthogonal NGBSs is also provided. It is then shown that these states, for any value of N, may be used for a realization of a controlled-NOT gate, based on the dispersive interaction between the cavity field and a control two-level atom. The possible implementation of the schemes is finally discussed.

PhysicsPhotonBinomial stateSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciBinomial (polynomial)Cavity quantum electrodynamicsGenerationGeneral Physics and AstronomyCavity QEDQuantum circuitQuantum gateQuantum error correctionControlled NOT gateQuantum mechanicsQuantum electrodynamicsQuantum gatesRealization (systems)
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General formulae for polarization observables in two-body break-up of deuteron photodisintegration

1988

The formal expressions of all possible polarization observables ind(γ,N)N with polarized photons and oriented deuterons are derived in terms of thet-matrix elements. Furthermore, using the multipole expansion of thet-matrix, all observables are expanded in terms of Legendre polynomials or associated functions, the coefficients of which are given as bilinear forms of the multipole moments and allow a model independent analysis of experimental data.

PhysicsPhotonDeuteriumPhotodisintegrationQuantum mechanicsObservableBilinear formMultipole expansionLegendre polynomialsAtomic and Molecular Physics and OpticsSpherical multipole momentsFew-Body Systems
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