Results 51 to 60 of about 2,118,889 (347)
Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source
Determination of the scattering amplitude [PDF]
Within the range of elastic scattering of two particles the unitarity equation can be formulated as an integral equation for the phase of the analytic scattering amplitude if the cross-section is given. Since the publications of \textit{R. G. Newton} [Determination of the amplitude from the differential cross-section by unitarity, J. Math. Phys.
Gangal, A. D., Kupsch, J.
openaire +3 more sources
Spinning black hole binary dynamics, scattering amplitudes, and effective field theory [PDF]
We describe a systematic framework for finding the conservative potential of compact binary systems with spin based on scattering amplitudes of particles of arbitrary spin and effective field theory.
Z. Bern+4 more
semanticscholar +1 more source
Quadratic-in-spin Hamiltonian at $$ \mathcal{O} $$(G2) from scattering amplitudes [PDF]
We obtain the quadratic-in-spin terms of the conservative Hamiltonian describing the interactions of a binary of spinning bodies in General Relativity through $$ \mathcal{O} $$ O (G2) and to all orders in velocity.
Dimitrios I. Kosmopoulos, A. Luna
semanticscholar +1 more source
Scattering amplitudes and conservative dynamics at the fourth post-Minkowskian order
We review recent progress using amplitudes methods to obtain new results for the conservative classical scattering of two massive black holes at order O( 𝐺 4 ) .
M. Ruf+6 more
semanticscholar +1 more source
Subsubleading soft graviton symmetry and MHV graviton scattering amplitudes [PDF]
In [8] it was shown that supertranslation and SL2ℂ¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}
Shamik Banerjee+2 more
semanticscholar +1 more source
Physical representations for scattering amplitudes and the wavefunction of the universe [PDF]
The way we organise perturbation theory is of fundamental importance both for computing the observables of relevance and for extracting fundamental physics out of them.
P. Benincasa, W. J. T. Bobadilla
semanticscholar +1 more source
Scattering Amplitudes with Open Loops [PDF]
5 pages, 3 figures; v2: Comment on ordering added after eq. (6); typos in eqs. (14,16,17) corrected; various cosmetic changes; reference added.
Cascioli, F+2 more
openaire +5 more sources
Scattering amplitudes and toric geometry [PDF]
AbstractIn this paper we provide a first attempt towards a toric geometric interpretation of scattering amplitudes. In recent investigations it has indeed been proposed that the all-loop integrand of planar$ \mathcal{N} $= 4 SYM can be represented in terms of well defined finite objects called on-shell diagrams drawn on disks.
Amariti, Antonio, Forcella, Davide
openaire +5 more sources
Leading nonlinear tidal effects and scattering amplitudes [PDF]
We present the two-body Hamiltonian and associated eikonal phase, to leading post-Minkowskian order, for infinitely many tidal deformations described by operators with arbitrary powers of the curvature tensor.
Z. Bern+4 more
semanticscholar +1 more source