GROUP THEORY SYMBOL

GTCartesianSphericalHarmonicY

GTCartesianSphericalHarmonicY[l,m,x,y,z]
gives the spherical harmonic in cartesian form.

DetailsDetails

  • With the help of the associate Legendre polynomials (see LegendreP) the spherical harmonics can be calculated in cartesian form, with the help of the following equation:
  • The result is normalized using the following pre-factor:.
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, Appendix A.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

First, load the package:

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Then run the example:

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