GROUP THEORY SYMBOL

GTTesseralHarmonicY

GTTesseralHarmonicY[l,m,θ,ϕ]
gives the tesseral harmonic (real spherical harmonic) .

DetailsDetails

  • The tesseral harmonics are implemented according to the definition of Podolskiy and Vogl.
  • See: A.V. Podolskiy, P. Vogl,Compact expression for the angular dependence of tight-binding Hamiltonian matrix elements, Phys. Rev. B 69, 233101 (2004)
  • W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

First, load the package:

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Then run the example:

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The tesseral harmonics are commonly used for atomic orbitals.

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