• 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
  • Thumbnail for Spherical harmonics
    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
  • 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
  • Thumbnail for Basis (linear algebra)
    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
  • Thumbnail for Spherical trigonometry
    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
  • Thumbnail for Octant of a sphere
    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