Wave Functions and Character

Let us assume that we have solved the LMTO eigenvalue problem 

The Bloch sum of muffin-tin orbitals x (r) is most conveniently expressed by the one-centre expansion (6.15) valid inside the sphere at the origin 

By analogy we make the following definitions of the partial wave and its energy derivative, cf. (3.4,5), 

If we now combine (6.24-28) we may express the m-decomposed wave function in the form 

In the expression (6.29) for the m-decomposed wave function, the coefficients Aj and Bj k are completely specified by the band-structure calculation, 

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