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Raclariu, The SAGEX review on scattering amplitudes chapter 11: soft theorems and celestial amplitudes, J. Phys. A 55 (2022) 443012 [arXiv:2203.13022] [INSPIRE]. L. Donnay, Celestial holography: An asymptotic symmetry perspective, arXiv:2310.12922 [INSPIRE]. M. Ko, E.T. Newman and R. ...
Show moreView chapterExplore book Vector Analysis Frank E. Harris, in Mathematics for Physical Science and Engineering, 2014 7.5 Potential Theory Vector fields are extremely useful in the description of physical phenomena, particularly in mechanics and electromagnetism. However, many problems can be simp...
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a ‘vector field’ right module map[Math Processing Error]to define a ‘covariant derivative’ alongX, but we do not need to do that here. WhenEis a bimodule, we want a compatible Leibniz rule for right products and the framework we adopt is that of a leftbimodule connection[11,22] ...
The three basis functions with n = 1, l = 1 (1p states) are simultaneous eigenfunctions of the commuting generators H1 and H2 with eigenvalues m1 and m2 and the latter are treated as components of a vector in l-dimensional space called a “weight vector.” The weight vector for l = 1...
In my unfamiliarity with the problem, I had imagined that the key problems would be validation of the vector field map (with its intrinsic ambiguity in the field direction transverse to the line of sight) and acquiring adequate resources to efficiently compute the field. How wrong I was! That...