GroupTheory`
GroupTheory`

GTTesseralHarmonicY

GTTesseralHarmonicY[l,m,θ,ϕ]

gives the tesseral harmonic (real spherical harmonic) .

Details and Options

  • 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

Examples

Basic Examples  (2)

First, load the package:

Then run the example:

The tesseral harmonics are commonly used for atomic orbitals.