Results 1 to 10 of about 91,388 (321)
Spherical Harmonics Ylm(θ,ϕ): Positive and Negative Integer Representations of su(1,1) for l-m and l+m [PDF]
Advances in High Energy Physics, 2016 The azimuthal and magnetic quantum numbers of spherical harmonics Ylm(θ,ϕ) describe quantization corresponding to the magnitude and z-component of angular momentum operator in the framework of realization of su(2) Lie algebra symmetry.
H. Fakhri
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Spherical harmonics to quantify cranial asymmetry in deformational plagiocephaly [PDF]
Scientific Reports, 2022 Cranial deformation and deformational plagiocephaly (DP) in particular affect an important percentage of infants. The assessment and diagnosis of the deformation are commonly carried by manual measurements that provide low interuser accuracy.
Jonas Grieb +2 more
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Monopole vector spherical harmonics [PDF]
Physical Review D, 1994 Eigenfunctions of total angular momentum for a charged vector field interacting with a magnetic monopole are constructed and their properties studied. In general, these eigenfunctions can be obtained by applying vector operators to the monopole spherical harmonics in a manner similar to that often used for the construction of the ordinary vector ...
A. H. Guth +6 more
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Spherical-harmonic tensors [PDF]
Physical Review Research, 2020 The connection between spherical harmonics and symmetric tensors is explored. For each spherical harmonic, a corresponding traceless symmetric tensor is constructed.
Francisco Gonzalez Ledesma +1 more
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A fuzzy bipolar celestial sphere
Journal of High Energy Physics, 2019 We introduce a non-commutative deformation of the algebra of bipolar spherical harmonics supporting the action of the full Lorentz algebra. Our construction is close in spirit to the one of the non-commutative spherical harmonics associated to the fuzzy ...
Francesco Alessio, Michele Arzano
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Fermion quasi-spherical harmonics [PDF]
Journal of Physics A: Mathematical and General, 1999 16 pages, 2 Tables.
Hunter, G. +8 more
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Spherical harmonics coefficients for ligand-based virtual screening of cyclooxygenase inhibitors. [PDF]
PLoS ONE, 2011 Molecular descriptors are essential for many applications in computational chemistry, such as ligand-based similarity searching. Spherical harmonics have previously been suggested as comprehensive descriptors of molecular structure and properties.
Quan Wang +7 more
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Inversion Formulas for the Spherical Radon-Dunkl Transform [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The spherical Radon-Dunkl transform R_κ, associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of h-harmonics.
Zhongkai Li, Futao Song
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Very low frequency three-dimensional beamforming for a miniaturized aperture acoustic vector sensor array [PDF]
JASA Express Letters, 2022 In this Letter, a three-dimensional beamforming method is proposed for a miniaturized aperture acoustic vector sensor (AVS) array. This method extracts the multipole modes using the AVS array, and then synthesizes the desired beam pattern according to ...
Junyuan Guo +4 more
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Robust Object Classification Approach Using Spherical Harmonics
IEEE Access, 2022 Point clouds produced by either 3D scanners or multi-view images are often imperfect and contain noise or outliers. This paper presents an end-to-end robust spherical harmonics approach to classifying 3D objects.
Ayman Mukhaimar +4 more
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