and their applications, a spherical basis is the basis used to express spherical tensors.[definition needed] The spherical basis closely relates to the description...
10 KB (1,239 words) - 06:21, 26 July 2024
functions and thus an orthonormal basis, each function defined on the surface of a sphere can be written as a sum of these spherical harmonics. This is similar...
75 KB (12,420 words) - 02:21, 15 August 2024
Tensor operator (redirect from Spherical tensor operator)
class of these are spherical tensor operators which apply the notion of the spherical basis and spherical harmonics. The spherical basis closely relates...
52 KB (9,015 words) - 19:02, 9 July 2024
the basis of a vector space, but not necessarily linearly independentPages displaying short descriptions of redirect targets Spherical basis – Basis used...
34 KB (4,730 words) - 00:00, 25 September 2023
the angular momentum projection onto the z-axis. They comprise the spherical basis, are complete, and satisfy the following eigenvalue equations, j 2...
35 KB (6,142 words) - 11:09, 3 August 2024
spherical coordinate basis vectors. Several conventions have been used to define the VSH. We follow that of Barrera et al.. Given a scalar spherical harmonic...
26 KB (5,424 words) - 23:25, 27 May 2024
Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles...
39 KB (6,560 words) - 21:22, 3 August 2024
just like ordinary spherical harmonics, but have an additional spin weight s that reflects the additional U(1) symmetry. A special basis of harmonics can...
13 KB (2,161 words) - 12:20, 3 May 2024
together with Jz. This defines the spherical basis used here. That is, there is a complete set of kets (i.e. orthonormal basis of joint eigenvectors labelled...
21 KB (4,698 words) - 16:58, 1 July 2024
Octant of a sphere (redirect from Spherical octant)
of an octant are the basis vectors of a Cartesian coordinate system relative to which the sphere is a unit sphere. The spherical octant itself is the...
1 KB (149 words) - 14:30, 2 October 2023