Results 11 to 20 of about 7,674 (246)
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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An alternative to Wigner d-matrices for rotating real spherical harmonics
AIP Advances, 2013 Transformation of spherical harmonics under rotation is a major problem in many areas of theoretical and applied science. While elegantly and efficiently solved for complex spherical harmonics with Wigner D- and d-matrices, extending this method to real ...
G. Aubert
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ISPRS International Journal of Geo-Information, 2022 The development and management of green open spaces are essential in overcoming environmental problems such as air pollution and urban warming. 3D modeling and biomass calculation are the example efforts in managing green open spaces.
Deni Suwardhi +5 more
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Symmetries of Spherical Harmonics [PDF]
Transactions of the American Mathematical Society, 1975 Let G G be a group of linear transformations of
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New class of solutions to Laplace equation: Regularized multipoles of negative orders
Physical Review Research, 2019 We introduce a new class of solutions to the Laplace equation, dubbed logopoles, and use them to derive a new relation between solutions in prolate spheroidal and spherical coordinates.
Matt Majic, Eric C. Le Ru
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Fractal Spherical Harmonics [PDF]
International Journal of Analysis, 2013 This paper tackles the construction of fractal maps on the unit sphere. The functions defined are a generalization of the classical spherical harmonics. The methodology used involves an iterated function system and a linear and bounded operator of functions on the sphere.
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Calculating spherical harmonics without derivatives
Condensed Matter Physics, 2018 The derivation of spherical harmonics is the same in nearly every quantum mechanics textbook and classroom. It is found to be difficult to follow, hard to understand, and challenging to reproduce by most students.
M. Weitzman, J.K. Freericks
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Pilot study on the influence of spatial resolution of human voice directivity on speech perception
Acta Acustica, 2022 A perceptual threshold related to spatial resolution of the human voice directivity was determined through a listening test of similarity (MUSHRA). Directivity data of an artificial talking head measured at high spatial resolution (spherical harmonics ...
Quélennec Aurian, Luizard Paul
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Spherical Harmonic Transform with GPUs [PDF]
, 2012 We describe an algorithm for computing an inverse spherical harmonic transform suitable for graphic processing units (GPU). We use CUDA and base our implementation on a Fortran90 routine included in a publicly available parallel package, S2HAT. We focus our attention on the two major sequential steps involved in the transforms computation, retaining ...
Hupca, Ioan Ovidiu +3 more
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