Results 1 to 10 of about 1,059 (266)
Generation of two mode mechanical squeezing induced by nondegenerate parametric amplification [PDF]
Squeezing light in an optomechanical system involves reducing quantum noise in one of the light’s quadratures through the interaction between optical and mechanical modes.
Muhdin Abdo Wodedo +5 more
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A nonlinear equation f(x)=0 is mathematically transformed to a coupled system of quasi-linear equations in the two-dimensional space. Then, a linearized approximation renders a fractional iterative scheme xn+1=xn−f(xn)/[a+bf(xn)], which requires one ...
Chein-Shan Liu +2 more
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Extended Hamilton–Jacobi Theory, Symmetries and Integrability by Quadratures
In this paper, we study the extended Hamilton–Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group G on a manifold M and a G-invariant vector field X on M, we construct complete solutions of the Hamilton ...
Sergio Grillo +2 more
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Generation of High-Order Vortex States From Two-Mode Squeezed States
We report a scheme for generation of high-order quadrature vortex states using two-mode photon-number squeezed states, generated via the non-linear process of Spontaneous Parametric Down Conversion. By applying a parametric rotation in the quadratures (X^
Graciana Puentes +2 more
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Quadratures with super power convergence
The calculation of quadratures arises in many physical and technical applications. The replacement of integration variables is proposed, which dramatically increases the accuracy of the formula of averages.
Aleksandr A. Belov +2 more
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Quadrature amplitude modulation (QAM) is used for high-speed information transmission in many radio systems and, in particular, in DVB-S and DVB-S2/S2X digital satellite television systems.
G. V. Kulikov, A. A. Lelyukh
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Solutions by Quadratures of Complex Bernoulli Differential Equations and Their Quantum Deformation
It is shown that the complex Bernoulli differential equations admitting the supplementary structure of a Lie–Hamilton system related to the book algebra b2 can always be solved by quadratures, providing an explicit solution of the equations. In addition,
Rutwig Campoamor-Stursberg +2 more
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Asymptotically accurate error estimates of exponential convergence for the trapezoidal rule
In many applied problems, efficient calculation of quadratures with high accuracy is required. The examples are: calculation of special functions of mathematical physics, calculation of Fourier coefficients of a given function, Fourier and Laplace ...
Aleksandr A. Belov +1 more
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STABILITY OF NONLINEAR DYNAMICAL SYSTEM MOTION UNDER CONSTANTLY ACTING PERTURBATIONS [PDF]
We consider the motion of a mechanical system with several degrees of freedom near zero of the phase space of states under conditions of constantly acting small perturbations. The generalized forces are represented in the dynamic equations by homogeneous
V. G. Melnikov +3 more
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The analysis of a temperature profile in the trunk of a vertical well when pumping liquid was carried out. The paper describes the application of an algorithm of the inverse numerical transformation with use of Gaussian quadratures (Iseger's method) to a
A. I. Filippov, E. P. Shcheglova
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