I want to compute the band structure of dilute bismide or nitride semiconductors using k.p theory within the basis states (s,x,y,z). In the literature, I only band anticrossing Hamiltonian elements given in the (J,m_J) basis. How do the band anticrossing elements in the (s,x,y,z) basis differ from those in the (J_,m_j) basis?

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