The Experts below are selected from a list of 234 Experts worldwide ranked by ideXlab platform
Nobuhiro Yoshikawa - One of the best experts on this subject based on the ideXlab platform.
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standard nearest neighbour discretizations of klein gordon models cannot preserve both energy and Linear Momentum
Journal of Physics A, 2006Co-Authors: Sergey V Dmitriev, P G Kevrekidis, Nobuhiro YoshikawaAbstract:We consider nonLinear Klein–Gordon wave equations and illustrate that standard discretizations thereof (involving nearest neighbours) may preserve either standardly defined Linear Momentum or standardly defined total energy but not both. This has a variety of intriguing implications for the 'non-potential' discretizations that preserve only the Linear Momentum, such as the self-accelerating or self-decelerating motion of coherent structures such as discrete kinks in these nonLinear lattices.
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Standard nearest-neighbour discretizations of Klein–Gordon models cannot preserve both energy and Linear Momentum
Journal of Physics A, 2006Co-Authors: Sergey V Dmitriev, P G Kevrekidis, Nobuhiro YoshikawaAbstract:We consider nonLinear Klein–Gordon wave equations and illustrate that standard discretizations thereof (involving nearest neighbours) may preserve either standardly defined Linear Momentum or standardly defined total energy but not both. This has a variety of intriguing implications for the 'non-potential' discretizations that preserve only the Linear Momentum, such as the self-accelerating or self-decelerating motion of coherent structures such as discrete kinks in these nonLinear lattices.
Sergey V Dmitriev - One of the best experts on this subject based on the ideXlab platform.
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standard nearest neighbour discretizations of klein gordon models cannot preserve both energy and Linear Momentum
Journal of Physics A, 2006Co-Authors: Sergey V Dmitriev, P G Kevrekidis, Nobuhiro YoshikawaAbstract:We consider nonLinear Klein–Gordon wave equations and illustrate that standard discretizations thereof (involving nearest neighbours) may preserve either standardly defined Linear Momentum or standardly defined total energy but not both. This has a variety of intriguing implications for the 'non-potential' discretizations that preserve only the Linear Momentum, such as the self-accelerating or self-decelerating motion of coherent structures such as discrete kinks in these nonLinear lattices.
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Standard nearest-neighbour discretizations of Klein–Gordon models cannot preserve both energy and Linear Momentum
Journal of Physics A, 2006Co-Authors: Sergey V Dmitriev, P G Kevrekidis, Nobuhiro YoshikawaAbstract:We consider nonLinear Klein–Gordon wave equations and illustrate that standard discretizations thereof (involving nearest neighbours) may preserve either standardly defined Linear Momentum or standardly defined total energy but not both. This has a variety of intriguing implications for the 'non-potential' discretizations that preserve only the Linear Momentum, such as the self-accelerating or self-decelerating motion of coherent structures such as discrete kinks in these nonLinear lattices.
L Rebon - One of the best experts on this subject based on the ideXlab platform.
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high dimensional states of light with full control of oam and transverse Linear Momentum
Optics Letters, 2020Co-Authors: D Pabon, Silvia Ledesma, L RebonAbstract:We present a compact scheme for the generation of high-dimensional states of light encoded in the transverse Linear Momentum of photons that carry orbital angular Momentum (OAM). We use a programmable spatial light modulator in phase configuration to create correlations between these two spatial degrees of freedom. With our setup, we are able to control, independently, the relative phases and amplitudes of the spatial superposition in addition to the topological charge of the OAM. Moreover, we engineer correlations that emulate bipartite quantum states of dimensions d×m. Experimental results from the characterization of different generated states of dimensions up to 9×5 are in excellent agreement with the numerical simulations. Fidelity with the target state is, for all cases, above 95%.
P G Kevrekidis - One of the best experts on this subject based on the ideXlab platform.
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standard nearest neighbour discretizations of klein gordon models cannot preserve both energy and Linear Momentum
Journal of Physics A, 2006Co-Authors: Sergey V Dmitriev, P G Kevrekidis, Nobuhiro YoshikawaAbstract:We consider nonLinear Klein–Gordon wave equations and illustrate that standard discretizations thereof (involving nearest neighbours) may preserve either standardly defined Linear Momentum or standardly defined total energy but not both. This has a variety of intriguing implications for the 'non-potential' discretizations that preserve only the Linear Momentum, such as the self-accelerating or self-decelerating motion of coherent structures such as discrete kinks in these nonLinear lattices.
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Standard nearest-neighbour discretizations of Klein–Gordon models cannot preserve both energy and Linear Momentum
Journal of Physics A, 2006Co-Authors: Sergey V Dmitriev, P G Kevrekidis, Nobuhiro YoshikawaAbstract:We consider nonLinear Klein–Gordon wave equations and illustrate that standard discretizations thereof (involving nearest neighbours) may preserve either standardly defined Linear Momentum or standardly defined total energy but not both. This has a variety of intriguing implications for the 'non-potential' discretizations that preserve only the Linear Momentum, such as the self-accelerating or self-decelerating motion of coherent structures such as discrete kinks in these nonLinear lattices.
George T. Fleming - One of the best experts on this subject based on the ideXlab platform.
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The Effect of Reduced Spatial Symmetries on Lattice States: Results for Non-zero Linear Momentum
arXiv: High Energy Physics - Lattice, 2006Co-Authors: David Moore, George T. FlemingAbstract:The irreducible representations of the cubic space group are described and used to determine the mapping of continuum states to lattice states with non-zero Linear Momentum. The Clebsch-Gordan decomposition is calculated from the character table for the cubic space group. These results are used to identify multiparticle states which appear in the hadron spectrum on the lattice.
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angular Momentum on the lattice the case of nonzero Linear Momentum
Physical Review D, 2006Co-Authors: David Moore, George T. FlemingAbstract:The irreducible representations (IRs) of the double cover of the Euclidean group with parity in three dimensions are subduced to the corresponding cubic space group. The reduction of these representations gives the mapping of continuum angular Momentum states to the lattice in the case of non-zero Linear Momentum. The continuous states correspond to lattice states with the same Momentum and continuum rotational quantum numbers decompose into those of the IRs of the little group of the Momentum vector on the lattice. The inverse mapping indicates degeneracies that will appear between levels of different lattice IRs in the continuum limit, recovering the continuum angular Momentum multiplets. An example of this inverse mapping is given for the case of the “moving” isotropic harmonic oscillator.
